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Special issue information
Dynamical systems and differential equations are essential mathematical tools for modeling complex phenomena in diverse applied sciences, ranging from biology and physics to engineering and economics. These equations describe the evolution of systems over time, helping to uncover insights into processes like disease spread, fluid dynamics, ecological balance, and material behavior. The applications of these models are vast, and as new challenges arise in fields like climate modeling, epidemiology, and systems biology, the relevance of dynamical systems continues to grow.
However, several key challenges persist in the field. These include issues of existence and uniqueness of solutions, particularly in nonlinear or high-dimensional systems, and the complexity of analyzing chaotic behavior that may arise in certain models. Additionally, many real-world applications involve systems with uncertain parameters, making it difficult to derive precise solutions. The integration of stochastic elements further complicates both the analysis and numerical approximation of solutions, often requiring new methodologies and computational tools.
This Special Issue seeks to address these challenges by presenting recent advances in the theory and application of dynamical systems and differential equations. We aim to highlight innovative approaches to solving complex systems, including new solution techniques, numerical methods, and interdisciplinary applications in fields such as engineering, environmental science, and biology. By focusing on both theoretical and practical aspects, this issue will contribute to enhancing the predictive power and control strategies for systems modeled by differential equations, ultimately fostering progress in applied sciences and engineering.
Potential topics to be covered:
- Existence and uniqueness of solutions
- Stability and Bifurcation analysis
- Numerical methods and approximation
- Stochastic and random dynamical systems
- Interdisciplinary applications
- Control theory and optimization
- Nonlinear and delay differential equations
- Reaction-diffusion systems
- Fractional differential equations
- Multi-scale and Multi-physics models
Keywords
Bifurcation analysis, dynamical system, control theory, fractional differential equations
Submission guidelines
Authors are encouraged to submit their papers for potential publication in the special issue through the online submission system at https://scholarmanuscript.com/Account/Journals/um. When submitting, please ensure that you select the special issue correctly.
Submission deadline
- 03 January 2026
Guest editors
Lead GE Name: Renhai Wang
Institutional Email: rwang-math@outlook.com
Affiliation: Guizhou Normal University
City: Guiyang
Country: China
Publication Record link: https://www.researchgate.net/profile/Renhai-Wang
–:
GE Name: Mirelson Martins Freitas
Institutional Email: mirelson.freitas@unb.br
Affiliation: University of Brasília
City: Brasília
Country: Brazil
Publication Record link: https://scholar.google.com/citations?user=mGgmRjAAAAAJ&hl=en
–:
GE Name: Nguyen Huy Tuan
Institutional Email: nguyenhuytuan@vlu.edu.vn
Affiliation: Van Lang University
City: Ho Chi Minh
Country: Vietnam
Publication Record link: https://www.researchgate.net/profile/Nguyen-Tuan-17