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- Title
Lyapunov exponents for discontinuous dynamical systems of Filip- pov type.
- Authors
Monfared, Zahra; Dadi, Zohreh; Afsharnezhad, Zahra
- Abstract
The area of discontinuous dynamical systems is almost a young research area, and the enthusiasm and necessity for analyzing these systems have been growing. On the other hand, chaos appears in a rather wide class of discontinuous systems. One of the most important properties of chaos is the sensitive dependence on initial conditions. Also, one of the most effective ways to diagnosis chaotic systems is defining Lyapunov exponents of these systems. Also, defining and calculating Lyapunov exponents for all discontinuous systems are real challenges. This paper is devoted to define Lyapunov exponents for discontinuous dynamical systems of Filippov type in order to investigate chaos for these systems.
- Subjects
LYAPUNOV exponents; DYNAMICAL systems; QUANTUM chaos; DISCONTINUOUS functions; MATHEMATICA (Computer software)
- Publication
Computational Methods for Differential Equations, 2020, Vol 8, Issue 3, p446
- ISSN
2345-3982
- Publication type
Article
- DOI
10.22034/cmde.2020.30174.1446