Li-Yorke chaos in the system with impacts
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, vol.351, no.2, pp.804-810, 2009 (SCI-Expanded, Scopus)
- 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.