University of Tabriz Computational Methods for Differential Equations 2345-3982 8 3 2020 08 01 Lyapunov exponents for discontinuous dynamical systems of Filippov type 446 453 9913 10.22034/cmde.2020.30174.1446 EN Zahra Monfared Department of Applied Mathematics, Ferdowsi University of Mashhad(FUM), Mashhad, Iran. Zohreh Dadi Department of Mathematics, Faculty of Basic Sciences, University of Bojnord, Bojnord, Iran. Zahra Afsharnezhad Department of Applied Mathematics, Ferdowsi University of Mashhad(FUM), Mashhad, Iran. Journal Article 2018 11 04 ‎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. https://cmde.tabrizu.ac.ir/article_9913_c2e071945eab2425900a20d83bbd6ece.pdf