Li–Yorke Chaos in Hybrid Systems on a Time Scale-Reference-Cited by-同舟云学术

Li–Yorke Chaos in Hybrid Systems on a Time Scale

Published:2015-12-30 Issue:14 Volume:25 Page:1540024
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

Akhmet Marat¹,Fen Mehmet Onur²

Affiliation:

1. Department of Mathematics, Middle East Technical University, 06800 Ankara, Turkey

2. Neuroscience Institute, Georgia State University, Atlanta, Georgia 30303, USA

Abstract

By using the reduction technique to impulsive differential equations [Akhmet & Turan, 2006], we rigorously prove the presence of chaos in dynamic equations on time scales (DETS). The results of the present study are based on the Li–Yorke definition of chaos. This is the first time in the literature that chaos is obtained for DETS. An illustrative example is presented by means of a Duffing equation on a time scale.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127415400246

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