Devaney's chaos of a relay system


AKHMET M.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, vol.14, no.4, pp.1486-1493, 2009 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 14 Issue: 4
  • Publication Date: 2009
  • Doi Number: 10.1016/j.cnsns.2008.03.013
  • Journal Name: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1486-1493
  • Keywords: Differential equations with a pulse function, Hyperbolic system, Non-autonomous chaos, Devaney's ingredients of chaos, Chaotic attractor
  • Middle East Technical University Affiliated: Yes

Abstract

We address the differential equation with a pulse function, whose moments of discontinuity depend on the initial moment. The existence of a chaotic attractor, and the complex behavior of all solutions are investigated. An appropriate simulations are presented. (c) 2008 Elsevier B.V. All rights reserved.