Dynamics, Stability, Chaos, Control and Applications of Dynamical Systems
A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Analysis".
Deadline for manuscript submissions: 15 February 2026 | Viewed by 11
Special Issue Editors
Interests: population dynamics; dynamical systems; fractional order systems; differential equations; numerical analysis; applied mathematics; difference equations; oscillatory behavior; asymptotic behavior; fractional-order differential/difference equations; biomathematics; chaos and bifurcations; control theory; stability analysis
Interests: population dynamics; dynamical systems; fractional order systems; differential equations; numerical analysis; applied mathematics; difference equations; oscillatory behavior; asymptotic behavior; fractional partial differential equations; fractional-order differential/difference equations; biomathematics and mathematical physics; chaos and bifurcations; control theory; stability analysis
Interests: population dynamics; dynamical systems; fractional order systems; differential equations; numerical analysis; applied mathematics; oscillatory behavior numerical analysis; biomathematics; chaos and bifurcations; control theory; stability analysis; celestial mechanics, basins of escape
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
We are pleased to announce a Special Issue of Axioms titled “Dynamics, Stability, Chaos, Control and Applications of Dynamical Systems”. This collection focuses on innovative approaches in applied mathematics, particularly those framed within dynamical systems theory.
We welcome papers that explore the transition from regular to chaotic behavior and the mechanisms for controlling chaos through parameter adjustments and model refinements. Of particular interest are studies addressing the following fundamental questions: Is there order in chaos? Can chaotic systems be controlled, or are some inherently unpredictable?
Since chaotic dynamics manifest across diverse disciplines, we welcome contributions from fields such as mechanics, engineering, and chemistry. Well-developed models have the potential to provide valuable insights into real-world challenges and seemingly intractable conflicts.
This Special Issue encourages both theoretical advancements and applied studies that enhance our understanding of nonlinear dynamical systems and their control. This Special Issue also seeks contributions on new trends in bifurcation theory and chaos control, particularly in complex systems. Theoretical advancements, numerical simulations, and applied studies that enhance our understanding of nonlinear dynamical systems and their control are highly encouraged.
Topics are included (but not limited to) the following:
- Dynamical systems;
- Local and nonlocal mathematical models;
- Computer virus spreading dynamics;
- Qualitative behaviors of dynamical systems, such as attractors, invariant manifolds, and
- ergodic properties;
- Dynamics properties include stability, bifurcation, and chaos;
- Numerical methods for dynamic systems;
- Linear and nonlinear control systems;
- New modeling and technology for dynamic systems in science and engineering;
- Mathematical modeling;
- Computational and numerical simulation;
- Differential/difference equations;
- Numerical analysis and methods of partial differential equations;
- Fractional difference equations;
- Fractional-order differential/partial/integral equations;
- Fractional continuous models;
- Numerical simulations of dynamic behaviors in fractional engineering applications.
Dr. Massaoud Berkal
Dr. Mohammed Bakheet Almatrafi
Dr. Juan Francisco Navarro
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. Axioms is an international peer-reviewed open access monthly 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 2400 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
- differential equations/systems
- difference equations/systems
- dynamical systems
- mathematical epidemiology
- population dynamics
- mathematical model
- stability analysis
- dynamic system
- local and global dynamics
- chaos and bifurcations
- control theory
- qualitative analysis
- numerical simulations
- sensitivity analysis
- fractional calculus
- fractional-order systems
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