Advances in Dynamical Systems: Stability, Bifurcation, and Chaos with Applications
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "C2: Dynamical Systems".
Deadline for manuscript submissions: 30 September 2026 | Viewed by 503
Special Issue Editor
Special Issue Information
Dear Colleagues,
We are delighted to present this Special Issue that explores the future of nonlinear dynamical systems. It aims to link new theoretical developments with challenging applications spanning all of science and engineering. The notions of stability, bifurcation, and chaos remain as vital today as they have ever been: they help us to predict, understand, and control complex phenomena that evolve over time.
The ideas are now extending, formalizing, and uniting - linking abstract theory with some of the most substantive and practical problems in science, engineering, and beyond.
The topic solicits submissions proposing new method of analysis, computational algorithms, and related rigorous frameworks for describing and manipulating dynamical phenomena.
The interested topics include, but are not limited to:
New Theoretical Developments: New tools to study stability, critical transitions, and chaotic attractors in, stochastic, and fractional-order systems and so on.
Computational and Data-Driven Frontiers: Numerical methods for bifurcation analysis, machine learning techniques for chaos detection, and big-data-based modeling of complex dynamics.
Interdisciplinary Applications:
- Engineering: Autonomous systems control, aeroelastic phenomena, stability of power grids, and robotics.
- Biology & Medicine: Modeling Neural Dynamics, Cardiac Rhythms, Ecosystem Resilience, And Infectious Disease Dynamics.
- Economics & Finance: Analysis of market volatility, economic various tipping points, and agent-based modeling.
- Climate & Environmental Science: Prediction of climate patterns, forecasting of extreme events, and modeling of ecological shift.
The proposed special issue, combining state-of-the-art theory with significant applications, will be useful to the mathematicians, scientists and engineers. It promotes the exchange of ideas across all boundaries and promotes the advances in predicting, designing and controlling the complex dynamic systems in our world.
Prof. Dr. Mohammed Salah Abdelouahab
Guest Editor
Manuscript Submission Information
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Keywords
- dynamical systems
- stability
- bifurcation
- chaos
- computational methods
- interdisciplinary modeling
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