Search for Articles:
Title / Keyword
Author / Affiliation / Email
Journal
Article Type
 
 
Advanced Search
 
Section
Special Issue
Volume
Issue
Number
Page
 
4.6
2.2
Journals
Mathematics
Special Issues
Mathematical Modelling of Nonlinear Dynamical Systems
share announcement

Mathematical Modelling of Nonlinear Dynamical Systems

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "C2: Dynamical Systems".

Deadline for manuscript submissions: 28 February 2026 | Viewed by 1454

Special Issue Editors

Prof. Dr. Guillermo Huerta-Cuellar

E-Mail
Guest Editor
Centro Universitario de Los Lagos (CULAGOS), Universidad de Guadalajara, Guadalajara 44100, Mexico
Interests: nonlinear dynamical systems; numerical modeling; laser dynamics; chaos theory; deterministic Brownian motion; fractional calculus
Special Issues, Collections and Topics in MDPI journals
Prof. Dr. Jesus M. Munoz-Pacheco

E-Mail Website
Guest Editor
Faculty of Electronics Sciences, Benemérita Universidad Autónoma de Puebla, Av. San Claudio y 18 Sur, Puebla 72570, Mexico
Interests: chaos theory; chaotic dynamics and applications; nonlinear circuits and systems; mathematical modeling; electronics; fractional-order chaotic systems; fractional-order calculus
Special Issues, Collections and Topics in MDPI journals
Dr. José Luis Echenausía-Monroy

E-Mail Website
Guest Editor
Department of Electronics and Telecommunications, Centro de Investigación Científica y de Educación Superior de Ensenada (CICESE), Carr. Ensenada-Tijuana 3918, Zona Playitas, Ensenada 22860, Mexico
Interests: nonlinear dynamical systems; numerical analysis; communication and signal processing; control theory; Matlab simulation; control systems engineering; communication engineering; optical engineering; estimation; instrumentation; virtual instrumentation; LabVIEW programming

Special Issue Information

Dear Colleagues,

We are pleased to announce a call for submissions to a Special Issue titled "Mathematical Modelling of Nonlinear Dynamic Systems". We invite our colleagues, friends, and other researchers in the field of nonlinear dynamical systems to contribute their latest research findings, reviews, and insightful perspectives. The aim is to bring together cutting-edge research that addresses the complexities and challenges associated with the mathematical modeling of nonlinear dynamical systems across various fields. Additionally, this Special Issue welcomes works on fractional calculus, which has emerged as a powerful tool for modeling complex phenomena characterized by nonlocality and long-memory effects, as well as its wide-ranging applications in engineering, physics, biology, economics, and other disciplines. This issue aims to provide a platform for disseminating innovative research that advances our understanding of the behavior, control, and optimization of nonlinear dynamical systems.

Prof. Dr. Guillermo Huerta-Cuellar
Prof. Dr. Jesus M. Munoz-Pacheco
Dr. José Luis Echenausía-Monroy
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • theoretical developments
  • computational methods
  • control and optimization
  • interdisciplinary research
  • artificial intelligence
  • machine learning
  • big data
  • fractional-order dynamical systems
  • dynamical systems
  • bifurcation analysis
  • chaotic behavior
  • fractional order systems
  • iterative dynamics
  • ordinary differential equations
  • partial differential equations
  • numerical methods
 

Benefits of Publishing in a Special Issue

  • Ease of navigation: Grouping papers by topic helps scholars navigate broad scope journals more efficiently.
  • Greater discoverability: Special Issues support the reach and impact of scientific research. Articles in Special Issues are more discoverable and cited more frequently.
  • Expansion of research network: Special Issues facilitate connections among authors, fostering scientific collaborations.
  • External promotion: Articles in Special Issues are often promoted through the journal's social media, increasing their visibility.
  • Reprint: MDPI Books provides the opportunity to republish successful Special Issues in book format, both online and in print.

Further information on MDPI's Special Issue policies can be found here.

Published Papers (2 papers)

Download All Papers
Order results
Result details
Show export options expand_more Show export options expand_less
Select all
Export citation of selected articles as:

Research

23 pages, 2646 KiB  
Article
Asymptotic Analysis of Poverty Dynamics via Feller Semigroups
by Lahcen Boulaasair, Mehmet Yavuz and Hassane Bouzahir
Mathematics 2025, 13(13), 2120; https://doi.org/10.3390/math13132120 - 28 Jun 2025
Viewed by 72
Abstract
Poverty is a multifaceted phenomenon impacting millions globally, defined by a deficiency in both material and immaterial resources, which consequently restricts access to satisfactory living conditions. Comprehensive poverty analysis can be accomplished through the application of mathematical and modeling techniques, which are useful [...] Read more.
Poverty is a multifaceted phenomenon impacting millions globally, defined by a deficiency in both material and immaterial resources, which consequently restricts access to satisfactory living conditions. Comprehensive poverty analysis can be accomplished through the application of mathematical and modeling techniques, which are useful in understanding and predicting poverty trends. These models, which often incorporate principles from economics, stochastic processes, and dynamic systems, enable the assessment of the factors influencing poverty and the effectiveness of public policies in alleviating it. This paper introduces a mathematical compartmental model to investigate poverty within a population (ψ(t)), considering the effects of immigration, crime, and incarceration. The model aims to elucidate the interconnections between these factors and their combined impact on poverty levels. We begin the study by ensuring the mathematical validity of the model by demonstrating the uniqueness of a positive solution. Next, it is shown that under specific conditions, the probability of poverty persistence approaches certainty. Conversely, conditions leading to an exponential reduction in poverty are identified. Additionally, the semigroup associated with our model is proven to possess the Feller property, and its distribution has a unique invariant measure. To confirm and validate these theoretical results, interesting numerical simulations are performed. Full article
(This article belongs to the Special Issue Mathematical Modelling of Nonlinear Dynamical Systems)
17 pages, 2842 KiB  
Article
A Comparative Study of Brownian Dynamics Based on the Jerk Equation Against a Stochastic Process Under an External Force Field
by Adriana Ruiz-Silva, Bahia Betzavet Cassal-Quiroga, Rodolfo de Jesus Escalante-Gonzalez, José A. Del-Puerto-Flores, Hector Eduardo Gilardi-Velazquez and Eric Campos
Mathematics 2025, 13(5), 804; https://doi.org/10.3390/math13050804 - 28 Feb 2025
Viewed by 553
Abstract
Brownian motion has been studied since 1827, leading to numerous important advances in many branches of science and to it being studied primarily as a stochastic dynamical system. In this paper, we present a deterministic model for the Brownian motion for a particle [...] Read more.
Brownian motion has been studied since 1827, leading to numerous important advances in many branches of science and to it being studied primarily as a stochastic dynamical system. In this paper, we present a deterministic model for the Brownian motion for a particle in a constant force field based on the Ornstein–Uhlenbeck model. By adding one degree of freedom, the system evolves into three differential equations. This change in the model is based on the Jerk equation with commutation surfaces and is analyzed in three cases: overdamped, critically damped, and underdamped. The dynamics of the proposed model are compared with classical results using a random process with normal distribution, where despite the absence of a stochastic component, the model preserves key Brownian motion characteristics, which are lost in stochastic models, giving a new perspective to the study of particle dynamics under different force fields. This is validated by a linear average square displacement and a Gaussian distribution of particle displacement in all cases. Furthermore, the correlation properties are examined using detrended fluctuation analysis (DFA) for compared cases, which confirms that the model effectively replicates the essential behaviors of Brownian motion that the classic models lose. Full article
(This article belongs to the Special Issue Mathematical Modelling of Nonlinear Dynamical Systems)
►▼ Show Figures

Figure 1

Show export options expand_more Show export options expand_less
Select all
Export citation of selected articles as:
 
Displaying articles 1-2
Back to TopTop