On Stability, Bifurcation, and Chaos in Dynamical Systems: Theory and Applications

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

Deadline for manuscript submissions: 20 July 2026 | Viewed by 18

Special Issue Editor


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Guest Editor
Department of Mathematics, University of Tébessa, Tebessa 12002, Algeria
Interests: chaos; discrete mappings; bifurcations

Special Issue Information

Dear Colleagues,

A dynamical system is a system in which a function describes the time dependence of a point in an ambient space. Examples include the mathematical models that describe the swinging of a clock pendulum. Dynamical systems arise in various fields, including physics, mechanics, and almost all engineering areas. For these systems, mathematical modeling and simulation are required. Several mathematical tools play a crucial role in understanding system behaviors. Analyzing a dynamical system involves examining how it evolves over time, typically through the study of its phase space, fixed points, and trajectory types, with particular attention to chaotic solutions.

In this context, this Special Issue aims to collect state-of-the-art research contributions on the modeling, simulation, stability, bifurcation, and chaos in dynamical systems.

Potential topics include, but are not limited to, the following:

  1. Chaos, bifurcations, and stability analysis of discrete mappings;
  2. Control and synchronization of discrete mappings;
  3. Chaos, bifurcations, and stability analysis of continuous-time systems;
  4. Control and synchronization of continuous-time systems.

Prof. Dr. Zeraoulia Elhadj
Guest Editor

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Keywords

  • dynamical systems
  • stability analysis
  • control theory
  • chaos
  • discrete mappings
  • bifurcations

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Published Papers

This special issue is now open for submission.
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