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Lyapunov exponents for discontinuous dynamical systems of Filippov type | ||
| Computational Methods for Differential Equations | ||
| مقاله 3، دوره 8، شماره 3، آبان 2020، صفحه 446-453 اصل مقاله (272.61 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2020.30174.1446 | ||
| نویسندگان | ||
| Zahra Monfared* 1؛ Zohreh Dadi2؛ Zahra Afsharnezhad1 | ||
| 1Department of Applied Mathematics, Ferdowsi University of Mashhad(FUM), Mashhad, Iran. | ||
| 2Department of Mathematics, Faculty of Basic Sciences, University of Bojnord, Bojnord, Iran. | ||
| چکیده | ||
| The area of discontinuous dynamical systems is almost a young research area, and the enthusiasm and necessity for analysing 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 sensitive dependence on initial conditions. Also, the most effective way to diagnosis chaotic systems is defining Lyapunov exponents of these systems. In addition, 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. | ||
| کلیدواژهها | ||
| Chaos؛ Lyapunov exponents؛ Filippov systems | ||
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