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Search Results (1,109)

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Keywords = quasi-periodicity

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25 pages, 4865 KiB  
Article
Mathematical Modeling, Bifurcation Theory, and Chaos in a Dusty Plasma System with Generalized (r, q) Distributions
by Beenish, Maria Samreen and Fehaid Salem Alshammari
Axioms 2025, 14(8), 610; https://doi.org/10.3390/axioms14080610 - 5 Aug 2025
Abstract
This study investigates the dynamics of dust acoustic periodic waves in a three-component, unmagnetized dusty plasma system using generalized (r,q) distributions. First, boundary conditions are applied to reduce the model to a second-order nonlinear ordinary differential equation. [...] Read more.
This study investigates the dynamics of dust acoustic periodic waves in a three-component, unmagnetized dusty plasma system using generalized (r,q) distributions. First, boundary conditions are applied to reduce the model to a second-order nonlinear ordinary differential equation. The Galilean transformation is subsequently applied to reformulate the second-order ordinary differential equation into an unperturbed dynamical system. Next, phase portraits of the system are examined under all possible conditions of the discriminant of the associated cubic polynomial, identifying regions of stability and instability. The Runge–Kutta method is employed to construct the phase portraits of the system. The Hamiltonian function of the unperturbed system is subsequently derived and used to analyze energy levels and verify the phase portraits. Under the influence of an external periodic perturbation, the quasi-periodic and chaotic dynamics of dust ion acoustic waves are explored. Chaos detection tools confirm the presence of quasi-periodic and chaotic patterns using Basin of attraction, Lyapunov exponents, Fractal Dimension, Bifurcation diagram, Poincaré map, Time analysis, Multi-stability analysis, Chaotic attractor, Return map, Power spectrum, and 3D and 2D phase portraits. In addition, the model’s response to different initial conditions was examined through sensitivity analysis. Full article
(This article belongs to the Special Issue Trends in Dynamical Systems and Applied Mathematics)
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20 pages, 619 KiB  
Article
A Complexity-Based Approach to Quantum Observable Equilibration
by Marcos G. Alpino, Tiago Debarba, Reinaldo O. Vianna and André T. Cesário
Entropy 2025, 27(8), 824; https://doi.org/10.3390/e27080824 - 3 Aug 2025
Viewed by 94
Abstract
We investigate the role of a statistical complexity measure to assign equilibration in isolated quantum systems. While unitary dynamics preserve global purity, expectation values of observables often exhibit equilibration-like behavior, raising the question of whether a measure of complexity can track this process. [...] Read more.
We investigate the role of a statistical complexity measure to assign equilibration in isolated quantum systems. While unitary dynamics preserve global purity, expectation values of observables often exhibit equilibration-like behavior, raising the question of whether a measure of complexity can track this process. In addition to examining observable equilibration, we extend our analysis to study how the complexity of the quantum states evolves, providing insight into the transition from initial coherence to equilibrium. We define a classical statistical complexity measure based on observable entropy and deviation from equilibrium, which captures the dynamical progression towards equilibration and effectively distinguishes between complex and non-complex trajectories. In particular, our measure is sensitive to non-complex dynamics. Such dynamics include the quasi-periodic behavior exhibited by low-dimensional initial states, where the system explores a limited region of Hilbert space while preserving coherence. Numerical simulations of an Ising-like non-integrable Hamiltonian spin-chain model support these findings. Our work provides new insight into the emergence of equilibrium behavior from unitary dynamics and advances complexity as a meaningful tool in the study of the emergence of classicality in microscopic systems. Full article
(This article belongs to the Special Issue Quantum Nonstationary Systems—Second Edition)
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18 pages, 2038 KiB  
Article
Effects of 12-Week Infant Shantala Massage Program on Maternal Emotional Well-Being Following First-Time Birth
by Anna Gogola and Rafał Gnat
Healthcare 2025, 13(15), 1895; https://doi.org/10.3390/healthcare13151895 - 3 Aug 2025
Viewed by 148
Abstract
Background/Objectives: This study aimed to determine whether postpartum mothers exhibit a uniform trajectory of postpartum emotional status (PES) changes or if distinct subgroups with differing trajectories of PES exist. Additionally, it investigated whether intensified tactile stimulation of the infant through Shantala massage influences [...] Read more.
Background/Objectives: This study aimed to determine whether postpartum mothers exhibit a uniform trajectory of postpartum emotional status (PES) changes or if distinct subgroups with differing trajectories of PES exist. Additionally, it investigated whether intensified tactile stimulation of the infant through Shantala massage influences maternal PES. Method: A quasi-experimental design with a matched control group was employed. Eighty women following their first physiological delivery volunteered to participate. The intervention involved applying intensified tactile stimulation to the infant via Shantala massage over a 12-week postpartum period. Maternal PES, divided into negative and positive emotional domains, was assessed using four standardized questionnaires. Results: Two opposing trajectories of PES change were identified: adverse and favorable. Intensified tactile stimulation was associated with improvement in maternal emotional status along both trajectories. Conclusions: PES changes do not follow a uniform course across all women; notably, those with a favorable trajectory often begin with more severe symptoms. Overlooking this distinction in diagnosis, prevention, and treatment may result in suboptimal care. The factors influencing PES trajectories remain unidentified but may affect clinical intervention outcomes. The Shantala massage intervention appears to slow the progression of emotional disorders in women with adverse PES changes and accelerate recovery in those with favorable changes. Implementation of this approach in clinical settings is recommended. Full article
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22 pages, 7609 KiB  
Article
Bidirectional Conservative–Dissipative Transitions in a Five-Dimensional Fractional Chaotic System
by Yiming Wang, Fengjiao Gao and Mingqing Zhu
Mathematics 2025, 13(15), 2477; https://doi.org/10.3390/math13152477 - 1 Aug 2025
Viewed by 207
Abstract
This study investigates a modified five-dimensional chaotic system by incorporating structural term adjustments and Caputo fractional-order differential operators. The modified system exhibits significantly enriched dynamic behaviors, including offset boosting, phase trajectory rotation, phase trajectory reversal, and contraction phenomena. Additionally, the system exhibits bidirectional [...] Read more.
This study investigates a modified five-dimensional chaotic system by incorporating structural term adjustments and Caputo fractional-order differential operators. The modified system exhibits significantly enriched dynamic behaviors, including offset boosting, phase trajectory rotation, phase trajectory reversal, and contraction phenomena. Additionally, the system exhibits bidirectional transitions—conservative-to-dissipative transitions governed by initial conditions and dissipative-to-conservative transitions controlled by fractional order variations—along with a unique chaotic-to-quasiperiodic transition observed exclusively at low fractional orders. To validate the system’s physical realizability, a signal processing platform based on Digital Signal Processing (DSP) is implemented. Experimental measurements closely align with numerical simulations, confirming the system’s feasibility for practical applications. Full article
(This article belongs to the Special Issue Nonlinear Dynamics and Chaos Theory, 2nd Edition)
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33 pages, 1497 KiB  
Article
Beyond Compliance: How Disruptive Innovation Unleashes ESG Value Under Digital Institutional Pressure
by Fang Zhang and Jianhua Zhu
Systems 2025, 13(8), 644; https://doi.org/10.3390/systems13080644 - 1 Aug 2025
Viewed by 417
Abstract
Amid intensifying global ESG regulations and the expanding influence of green finance, China’s digital economy policies have emerged as key institutional instruments for promoting corporate sustainability. Leveraging the implementation of the National Big Data Comprehensive Pilot Zone as a quasi-natural experiment, this study [...] Read more.
Amid intensifying global ESG regulations and the expanding influence of green finance, China’s digital economy policies have emerged as key institutional instruments for promoting corporate sustainability. Leveraging the implementation of the National Big Data Comprehensive Pilot Zone as a quasi-natural experiment, this study utilizes panel data of Chinese listed firms from 2009 to 2023 and applies multi-period Difference-in-Differences (DID) and Spatial DID models to rigorously identify the policy’s effects on corporate ESG performance. Empirical results indicate that the impact of digital economy policy is not exerted through a direct linear pathway but operates via three institutional mechanisms, enhanced information transparency, eased financing constraints, and expanded fiscal support, collectively constructing a logic of “institutional embedding–governance restructuring.” Moreover, disruptive technological innovation significantly amplifies the effects of the transparency and fiscal mechanisms, but exhibits no statistically significant moderating effect on the financing constraint pathway, suggesting a misalignment between innovation heterogeneity and financial responsiveness. Further heterogeneity analysis confirms that the policy effect is concentrated among firms characterized by robust governance structures, high levels of property rights marketization, and greater digital maturity. This study contributes to the literature by developing an integrated moderated mediation framework rooted in institutional theory, agency theory, and dynamic capabilities theory. The findings advance the theoretical understanding of ESG policy transmission by unpacking the micro-foundations of institutional response under digital policy regimes, while offering actionable insights into the strategic alignment of digital transformation and sustainability-oriented governance. Full article
(This article belongs to the Section Systems Practice in Social Science)
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21 pages, 2405 KiB  
Article
Analysis of Greenhouse Gas Emissions from China’s Freshwater Aquaculture Industry Based on the LMDI and Tapio Decoupling Models
by Meng Zhang, Weiguo Qian and Luhao Jia
Water 2025, 17(15), 2282; https://doi.org/10.3390/w17152282 - 31 Jul 2025
Viewed by 178
Abstract
Carbon emissions from freshwater aquaculture can exacerbate the greenhouse effect, thereby impacting human life and health. Consequently, it is of great significance to explore the carbon peak process and the role of emission reduction data in China’s freshwater aquaculture industry. This study innovatively [...] Read more.
Carbon emissions from freshwater aquaculture can exacerbate the greenhouse effect, thereby impacting human life and health. Consequently, it is of great significance to explore the carbon peak process and the role of emission reduction data in China’s freshwater aquaculture industry. This study innovatively employs the Logarithmic Mean Divisia Index model (LMDI) and the Tapio decoupling model to conduct an in-depth analysis of the relationship between carbon emissions and output values in the freshwater aquaculture industry, accurately identifying the main driving factors. Meanwhile, the global and local Moran’s I indices are introduced to analyze its spatial correlation from a new perspective. The results indicate that from 2013 to 2023, carbon emissions from China’s freshwater aquaculture industry exhibited a quasi-“N”-shaped trend, reaching a peak of 38 million tons in 2015. East China was the primary contributor to carbon emissions, accounting for 46%, while South China, Central China, and Northeast China each had an average annual share of around 14%, with Southwest, North China, and Northwest China contributing relatively small proportions. The global Moran’s I index showed a decreasing trend, with a p-value ≤ 0.0010 and a z-score > 3.3, indicating a 99% significant spatial correlation. High-high clusters were concentrated in some provinces of East China, while low-low clusters were found in Northwest, North, and Southwest China. The level of fishery economic development positively drove carbon emissions, whereas freshwater aquaculture production efficiency, industrial structure, and the scale of the aquaculture population had negative effects on carbon emissions. During the study period, carbon emissions exhibited three states: weak decoupling, strong decoupling, and expansive negative decoupling, with alternating strong and weak decoupling occurring after 2015. Full article
(This article belongs to the Section Water, Agriculture and Aquaculture)
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32 pages, 2291 KiB  
Article
Impact of Green Financial Reform on Urban Economic Resilience—A Quasi-Natural Experiment Based on Green Financial Reform and Innovation Pilot Zones
by Yahui Chen, Yi An, Zixun Nie, Yuanying Chi and Xinyue Jia
Sustainability 2025, 17(15), 6969; https://doi.org/10.3390/su17156969 - 31 Jul 2025
Viewed by 334
Abstract
As a key engine driving China’s green financial transformation, the Green Financial Reform and Innovation Pilot Zones have demonstrated significant achievements in enhancing the capacity of financial services to support green real economies, preventing and mitigating green financial risks, and bolstering national and [...] Read more.
As a key engine driving China’s green financial transformation, the Green Financial Reform and Innovation Pilot Zones have demonstrated significant achievements in enhancing the capacity of financial services to support green real economies, preventing and mitigating green financial risks, and bolstering national and urban economic resilience. On this basis, a spatial Markov chain model is applied to further analyze the economic toughness of prefecture-level cities. This study treats the establishment of these pilot zones as a quasi-natural experiment, using panel data from 269 prefecture-level cities in China from 2013 to 2023 and employing a multi-period difference-in-differences (DID) model to empirically examine the impact of green financial reform on urban economic resilience and its underlying mechanisms. The results reveal that the establishment of these pilot zones significantly enhances urban economic resilience. Specifically, green financial reforms primarily improve urban economic resilience by increasing credit accessibility and capital allocation efficiency in the pilot cities. Furthermore, the policy effects are more pronounced in large cities and resource-dependent cities compared to small and medium-sized cities and non-resource-dependent cities, with stronger impacts observed in southern and coastal regions than in northern inland areas. Additionally, the policy effects are significantly greater in environmentally prioritized cities than in non-prioritized cities. By integrating green financial reforms and urban economic resilience into a unified analytical framework, this study provides valuable insights for policymakers to refine green financial strategies and design resilience-enhancing policies. Full article
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27 pages, 956 KiB  
Article
Boosting Sustainable Urban Development: How Smart Cities Improve Emergency Management—Evidence from 275 Chinese Cities
by Ming Guo and Yang Zhou
Sustainability 2025, 17(15), 6851; https://doi.org/10.3390/su17156851 - 28 Jul 2025
Viewed by 435
Abstract
Rapid urbanization and escalating disaster risks necessitate resilient urban governance systems. Smart city initiatives that leverage digital technologies—such as the internet of things (IoT), big data analytics, and artificial intelligence (AI)—demonstrate transformative potential in enhancing emergency management capabilities. However, empirical evidence regarding their [...] Read more.
Rapid urbanization and escalating disaster risks necessitate resilient urban governance systems. Smart city initiatives that leverage digital technologies—such as the internet of things (IoT), big data analytics, and artificial intelligence (AI)—demonstrate transformative potential in enhancing emergency management capabilities. However, empirical evidence regarding their causal impact and underlying mechanisms remains limited, particularly in developing economies. Drawing on panel data from 275 Chinese prefecture-level cities over the period 2006–2021 and using China’s smart city pilot policy as a quasi-natural experiment, this study applies a multi-period difference-in-differences (DID) approach to rigorously assess the effects of smart city construction on emergency management capabilities. Results reveal that smart city construction produced a statistically significant improvement in emergency management capabilities, which remained robust after conducting multiple sensitivity checks and controlling for potential confounding policies. The benefits exhibit notable heterogeneity: emergency management capability improvements are most pronounced in central China and in cities at the extremes of population size—megacities (>10 million residents) and small cities (<1 million residents)—while effects remain marginal in medium-sized and eastern cities. Crucially, mechanism analysis reveals that digital technology application fully mediates 86.7% of the total effect, whereas factor allocation efficiency exerts only a direct, non-mediating influence. These findings suggest that smart cities primarily enhance emergency management capabilities through digital enablers, with effectiveness contingent upon regional infrastructure development and urban scale. Policy priorities should therefore emphasize investments in digital infrastructure, interagency data integration, and targeted capacity-building strategies tailored to central and western regions as well as smaller cities. Full article
(This article belongs to the Special Issue Advanced Studies in Sustainable Urban Planning and Urban Development)
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19 pages, 7670 KiB  
Article
Atomic-Scale Mechanisms of Stacking Fault Tetrahedra Formation, Growth, and Transformation in Aluminum via Vacancy Aggregation
by Xiang-Shan Kong, Zi-Yang Cao, Zhi-Yong Zhang and Tian-Li Su
Metals 2025, 15(8), 829; https://doi.org/10.3390/met15080829 - 24 Jul 2025
Viewed by 233
Abstract
Stacking fault tetrahedra (SFTs) are typically considered improbable in high stacking fault energy metals like aluminum. Using molecular statics and dynamics simulations, we reveal the formation, growth, and transformation of SFTs in aluminum via vacancy aggregation. Three types—perfect, truncated, and defective SFTs—are characterized [...] Read more.
Stacking fault tetrahedra (SFTs) are typically considered improbable in high stacking fault energy metals like aluminum. Using molecular statics and dynamics simulations, we reveal the formation, growth, and transformation of SFTs in aluminum via vacancy aggregation. Three types—perfect, truncated, and defective SFTs—are characterized by their structure, formation energy, and binding energy across a range of vacancy cluster sizes. Formation energies of perfect and truncated SFTs follow a scaling relation; beyond a critical size, truncated SFTs become thermodynamically favored, indicating a size-dependent transformation pathway. Binding energy and structure evolution exhibit quasi-periodic behavior, where vacancies initially adsorb at the vertices or the midpoints of the edges of a perfect SFT, then aggregate along one facet, triggering fault nucleation and a binding energy jump as the system reconstructs into a new perfect SFT. Molecular dynamics simulations further confirm the SFT nucleation and growth via vacancy aggregation, consistent with thermodynamic predictions. SFTs exhibit notable thermal mobility, enabling coalescence and evolution into vacancy-type dislocation loops. BCC-like V5 clusters are identified as potential nucleation precursors. These findings explain the nanoscale, low-temperature nature of SFTs in aluminum and offer new insights into defect evolution and control in FCC metals. Full article
(This article belongs to the Section Computation and Simulation on Metals)
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28 pages, 4701 KiB  
Article
The Impact and Mechanism of National Park Construction on County-Level Livelihood and Well-Being—A Case Study in Wuyishan National Park, China
by Suwan Li, Jiameng Yang, Renjie Wei and Mengyuan Qiu
Land 2025, 14(8), 1521; https://doi.org/10.3390/land14081521 - 24 Jul 2025
Viewed by 262
Abstract
Exploring the impact of national park construction on county-level livelihood and well-being holds significant implications for enhancing social livelihood. This study treats Wuyishan National Park Construction (WNPC) as a quasi-natural experiment, utilizing panel data from 138 counties (2011–2023) to construct a county-level livelihood [...] Read more.
Exploring the impact of national park construction on county-level livelihood and well-being holds significant implications for enhancing social livelihood. This study treats Wuyishan National Park Construction (WNPC) as a quasi-natural experiment, utilizing panel data from 138 counties (2011–2023) to construct a county-level livelihood and well-being index through the CRITIC weighting method. Kernel density estimation and the Theil index are applied to depict the spatiotemporal dynamics of WNPC. Moreover, the difference-in-differences model and mediating effect model are employed to assess the impact and mechanisms of WNPC on livelihood and well-being. The results reveal that, in the period 2011–2023, livelihood and well-being scores ranged from 0.1329 to 0.4565, indicating considerable scope for improvement. Over time, inter-county disparities narrowed, displaying a spatial pattern of “higher in the east and west, lower in the middle.” Overall disparities remained pronounced, driven chiefly by within-region variation, and Jiangxi displayed notably larger internal gaps than Fujian and Zhejiang. Benchmark regressions confirm that WNPC significantly improved livelihood and well-being, with robust results according to multiple tests. Mechanism analysis indicates that WNPC enhances livelihood and well-being by promoting population mobility and improving infrastructure. Heterogeneity analysis suggests that compared to industrial counties, WNPC has a stronger positive effect on the livelihood and well-being of agricultural counties. Based on this, it is suggested that WNPC promotes population mobility and improves infrastructure construction. This study provides a scientific basis and decision-making reference for achieving high-quality construction of national parks and enhancing livelihood and well-being. Full article
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18 pages, 1390 KiB  
Article
Enhancing Mathematics Teacher Training in Higher Education: The Role of Lesson Study and Didactic Suitability Criteria in Pedagogical Innovation
by Luisa Morales-Maure, Keila Chacón-Rivadeneira, Orlando Garcia-Marimón, Fabiola Sáez-Delgado and Marcos Campos-Nava
Trends High. Educ. 2025, 4(3), 39; https://doi.org/10.3390/higheredu4030039 - 23 Jul 2025
Viewed by 390
Abstract
The integration of Lesson Study (LS) and Didactic Suitability Criteria (DSC) presents an innovative framework for enhancing mathematics teacher training in higher education. This study examines how LS-DSC fosters instructional refinement, professional growth, and pedagogical transformation among in-service teachers. Using a quasi-experimental mixed-methods [...] Read more.
The integration of Lesson Study (LS) and Didactic Suitability Criteria (DSC) presents an innovative framework for enhancing mathematics teacher training in higher education. This study examines how LS-DSC fosters instructional refinement, professional growth, and pedagogical transformation among in-service teachers. Using a quasi-experimental mixed-methods approach, the study analyzed data from 520 mathematics educators participating in a six-month training program incorporating collaborative lesson planning, structured pedagogical assessment, and reflective teaching practices. Findings indicate significant improvements in instructional design, mathematical discourse facilitation, and adaptive teaching strategies, with post-training evaluations demonstrating a strong positive correlation (r = 0.78) between initial competency levels and learning gains. Participants reported increased confidence in implementing student-centered methodologies and sustained engagement in peer collaboration beyond the training period. The results align with prior research emphasizing the effectiveness of lesson study models and structured evaluation frameworks in teacher professionalization. This study contributes to higher education policy and practice by advocating for the institutional adoption of LS-DSC methodologies to promote evidence-based professional development. Future research should explore the long-term scalability of LS-DSC in diverse educational contexts and its impact on student learning outcomes. Full article
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12 pages, 218 KiB  
Article
The Role of an Educational Program in Reducing Symptom Severity in Women with High Risk for Carpal Tunnel Syndrome
by Amira Elhoufey
Med. Sci. 2025, 13(3), 94; https://doi.org/10.3390/medsci13030094 - 22 Jul 2025
Viewed by 205
Abstract
Aim: This study aimed to assess the effect of educational programs on symptom severity for women at high risk of carpal tunnel syndrome (CTS). Methods: A quasi-experimental design was applied. A purposive sample of 250 women at high risk of CTS was [...] Read more.
Aim: This study aimed to assess the effect of educational programs on symptom severity for women at high risk of carpal tunnel syndrome (CTS). Methods: A quasi-experimental design was applied. A purposive sample of 250 women at high risk of CTS was selected from the Faculty of Nursing, Assiut University, Egypt. Data collection instruments included a structured interview questionnaire and the Boston Carpal Tunnel Syndrome Questionnaire (BCTQ). Results: Most participants were middle-aged (41–50 years), married, and had higher education. At baseline, 61.2% of participants reported mild symptoms, 24.8% moderate, and 11.6% were asymptomatic. Following the educational program, symptom severity was significantly improved (p = 0.007). The proportion of asymptomatic participants increased from 11.6% to 20.4%, while those with moderate symptoms decreased from 24.8% to 6.4%. Functional status also improved significantly, with the percentage of participants reporting no difficulty increasing from 17.6% to 30% (p = 0.008). We found a significant reduction in symptom severity scores (p = 0.05) and functional impairment (p = 0.008). Conclusions: The educational program effectively reduced CTS symptoms and improved hand function, demonstrating its potential as a preventive and therapeutic intervention for women at high risk of CTS. However, this study’s quasi-experimental design without a control group and a short follow-up period limits conclusions regarding long-term effectiveness and causal inference. Full article
(This article belongs to the Section Nursing Research)
16 pages, 729 KiB  
Article
Cross-Sectional and Quasi-Longitudinal Examination of Childhood and Adult Cognitive Disengagement Syndrome, Depression, Anxiety, Stress, and Insomnia
by Dena Sadeghi-Bahmani, Larina Eisenhut, Thorsten Mikoteit, Nico Helfenstein, Annette Beatrix Brühl, Kenneth M. Dürsteler, Jean-Marie Bizimana, Stephen P. Becker and Serge Brand
J. Clin. Med. 2025, 14(14), 5165; https://doi.org/10.3390/jcm14145165 - 21 Jul 2025
Viewed by 266
Abstract
Background: Longitudinal studies on cognitive disengagement syndrome (CDS) are scarce, and only one study has investigated the trajectory of CDS from childhood to early adulthood. Given this, the aims of the present study were to explore, with a quasi-longitudinal design, (1) whether scores [...] Read more.
Background: Longitudinal studies on cognitive disengagement syndrome (CDS) are scarce, and only one study has investigated the trajectory of CDS from childhood to early adulthood. Given this, the aims of the present study were to explore, with a quasi-longitudinal design, (1) whether scores for childhood CDS were associated with scores for CDS during early adulthood; (2) whether childhood CDS scores were associated with childhood and adult scores for depression, anxiety, stress, and insomnia; (3) whether childhood CDS, depression, anxiety, stress, and insomnia and adult depression, anxiety, stress, and insomnia were independently associated with adult scores for CDS, and (4) whether childhood CDS scores were directly and indirectly associated with adult CDS scores via adult depression and stress in two conditional effect models. Methods: A total of 246 young adult students (mean age = 22.62; 56.3% females) participated in a cross-sectional and quasi-longitudinal study. The participants completed questionnaires assessing CDS (Adult Concentration Inventory; ACI), depression, anxiety, stress, and insomnia for the following two developmental periods: for the present time point as young adults and for a past time point, when they were about eight years old. To enable retrospective past recall, the participants undertook a standardized imagination exercise. Results: Childhood scores for CDS, depression, anxiety, stress, and insomnia were highly associated with adult scores for CDS, depression, anxiety, stress, and insomnia. In the regression model, higher childhood scores for CDS, depression, and anxiety and higher adult scores for depression, stress, and insomnia, but not adult anxiety, were strongly and independently associated with adult scores for CDS. In the two conditional effects models, childhood CDS was associated with adult CDS directly and indirectly via adult depression and adult stress. Conclusions: In this quasi-longitudinal study, childhood scores for CDS were associated with adult scores for CDS, suggesting a potentially stable trajectory of CDS from childhood to early adulthood. Further, the two conditional effects models suggested that childhood and adult CDS were both directly and indirectly associated via adult depression and stress. As such, symptoms of depression, anxiety, stress, and insomnia should be considered in conceptualizations of adult CDS. Next, given that standardized psychotherapeutic interventions for depression, stress, and insomnia are available, such interventions might also favorably impact CDS symptoms. These findings further underscore the importance of prospective longitudinal and intervention studies on adult CDS. Full article
(This article belongs to the Section Mental Health)
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18 pages, 2823 KiB  
Article
Quasi-Periodic Dynamics and Wave Solutions of the Ivancevic Option Pricing Model Using Multi-Solution Techniques
by Sadia Yasin, Fehaid Salem Alshammari, Asif Khan and Beenish
Symmetry 2025, 17(7), 1137; https://doi.org/10.3390/sym17071137 - 16 Jul 2025
Viewed by 210
Abstract
In this research paper, we study symmetry groups, soliton solutions, and the dynamical behavior of the Ivancevic Option Pricing Model (IOPM). First, we find the Lie symmetries of the considered model; next, we use them to determine the corresponding symmetry groups. Then, we [...] Read more.
In this research paper, we study symmetry groups, soliton solutions, and the dynamical behavior of the Ivancevic Option Pricing Model (IOPM). First, we find the Lie symmetries of the considered model; next, we use them to determine the corresponding symmetry groups. Then, we attempt to solve IOPM by means of two methods. We provide some wave solutions and give further details of the solution using 2D and 3D graphs. These results are interpreted as important clarifications in financial mathematics and deepen our understanding of the dynamics involved during the pricing of options. Secondly, the quasi-periodic behavior of the two-dimensional dynamical system and its perturbed system are plotted using Python software (Python 3.13.5 version). Various frequencies and amplitudes are considered to confirm the quasi-periodic behavior via the Lyapunov exponent, bifurcation diagram, and multistability analysis. These findings are particularly in consonance with current research that investigates IOPM as a nonlinear wave alternate for normal models and the importance of graphical representations in the understanding of financial derivative dynamics. We, therefore, hope to fill in the gaps in the literature that currently exist about the use of multi-solution methods and their effects on financial modeling through the employment of sophisticated graphical techniques. This will be helpful in discussing matters in the field of financial mathematics and open up new directions of investigation. Full article
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25 pages, 1561 KiB  
Article
Does the Development of Digital Finance Enhance Urban Energy Resilience? Evidence from Machine Learning
by Jie Yan and Hailing Wang
Sustainability 2025, 17(14), 6434; https://doi.org/10.3390/su17146434 - 14 Jul 2025
Viewed by 388
Abstract
Amid the escalating global climate crisis, the transition to sustainable energy systems has become imperative. As the world’s largest energy producer and consumer, China has established ambitious dual carbon targets, which present formidable challenges to urban energy systems that remain heavily reliant on [...] Read more.
Amid the escalating global climate crisis, the transition to sustainable energy systems has become imperative. As the world’s largest energy producer and consumer, China has established ambitious dual carbon targets, which present formidable challenges to urban energy systems that remain heavily reliant on conventional energy sources and exhibit inadequate renewable energy development. Drawing on complex adaptive systems theory, this study investigates the extent to which digital finance enhances urban energy resilience, examining both the underlying mechanisms and heterogeneous effects. Employing a multi-period difference-in-differences model with digital finance policies as a quasi-natural experiment, our analysis of panel data from 31 Chinese provinces (2016–2023) demonstrates that digital finance significantly enhances the resilience of urban energy systems and their three constituent subsystems. A mediation analysis reveals the pivotal role of innovative organizations, while machine learning techniques uncover nonlinear relationships moderated by marketization levels, fiscal energy allocations, and initial digital finance development. These findings provide critical insights for policymakers, financial institutions, and energy enterprises seeking to advance sustainable energy governance and foster financial innovation in the energy transition. Full article
(This article belongs to the Section Energy Sustainability)
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