Recent Advances in Nonlinear Dynamical Systems: Models, Analysis and Applications
A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Physics".
Deadline for manuscript submissions: 28 February 2027 | Viewed by 27
Special Issue Editors
Interests: fractional-order systems; chaotic systems; chaotic circuits; memristor; neural networks; complex network; chaos-based applications
Special Issues, Collections and Topics in MDPI journals
Interests: fractional-order systems; nonlinear dynamical systems; complex systems; neural networks and dynamic behavior
Special Issues, Collections and Topics in MDPI journals
Interests: dynamical systems; differential equations and their applications: geometric singular perturbation theory (GSPT); applications of GSPT to Poisson–Nernst–Planck models; multiscale analysis in developmental biology; bifurcation theory for planar polynomial vector field; nonlinear partial differential equation
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
Nonlinear dynamical systems are the core research objects in modern science and engineering. They are widely present in various fields such as fluid mechanics, astrophysics, neural networks, climate models, and quantum systems. Nonlinear dynamics is a discipline that studies the quantitative and qualitative laws of various motion states in nonlinear dynamical systems, with a focus on the evolution behavior of motion patterns. With the continuous advancement of science and technology, nonlinear dynamics modeling technology has become a key tool in numerous research fields. It plays a significant role in understanding the behavior of complex systems, predicting the development trends of systems, and optimizing system designs. Nonlinear dynamics analysis aims to reveal the nonlinear mechanisms within the system and its dynamic behaviors. In recent years, with the development of mathematical theories, nonlinear dynamics has made great progress both in theory and application. This Special Issue sincerely invites original research results in the fields of modeling, analysis, and application of nonlinear dynamical systems. Our aim is to showcase recent theoretical achievements, innovative analytical methods, and practical application examples utilizing nonlinear dynamical systems. We particularly welcome papers that combine rigorous mathematical frameworks with practical applications, as these papers can bridge the gap between modeling, analysis, and application. The scope of this Special Issue aligns with the mission of the journal, which is to promote interdisciplinary research on nonlinear dynamical systems, and to focus particularly on theoretical and applied research issues. The submission content can focus on new modeling progress, dynamic analysis techniques, or application problems that play a core role in the field. Reviews or cross-disciplinary studies covering the latest trends in this area will also be taken into consideration. The purpose of this Special Issue is to gather original and high-quality research papers and review articles on the development, trends, and challenges of modeling, analysis, and applications of nonlinear dynamic systems. The topics of interest include, but are not limited to, the following: 1. Modeling of nonlinear dynamical systems; 2. Analysis, stability and control of nonlinear dynamical systems; 3. Chaos, fractals and self-similarity; 4. Research on ordinary differential equations, partial differential equations, algebraic equations; 5. Analysis and numerical methods of high-dimensional nonlinear systems; 6. Applications in artificial intelligence, economics, biology, physics and engineering.
Dr. Fei Yu
Dr. Wei Yao
Dr. Mingji Zhang
Guest Editors
Manuscript Submission Information
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Keywords
- modeling of nonlinear dynamical systems
- applications of nonlinear dynamical systems
- chaotic systems
- synchronization and control of complex systems and networks
- fractals, equilibrium and stability analysis
- nonlinear circuits and memristors
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