Li-Yorke chaos in the system with impacts

AKHMET M.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, vol.351, no.2, pp.804-810, 2009 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 351 Issue: 2
  • Publication Date: 2009
  • Doi Number: 10.1016/j.jmaa.2008.11.015
  • Journal Name: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.804-810
  • Keywords: Impulsive systems, Li-Yorke chaos, IMPULSIVE DIFFERENTIAL-EQUATIONS, SNAP-BACK REPELLERS, BIOLOGICAL OSCILLATORS, DYNAMICS, INPUT
  • Middle East Technical University Affiliated: Yes

Abstract

The analogue of Li-Yorke chaos [T.Y. Li, J. Yorke, Period three implies chaos, Amer. Math. Monthly 87 (1975) 985-992] for a special initial value problem of a non-autonomous impulsive differential equation is developed. (C) 2008 Elsevier Inc. All rights reserved.