A note on positive Lyapunov exponent and sensitive dependence on initial conditions

Demir B., Kocak S.

CHAOS SOLITONS & FRACTALS, vol.12, no.11, pp.2119-2121, 2001 (SCI-Expanded) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume: 12 Issue: 11
  • Publication Date: 2001
  • Doi Number: 10.1016/s0960-0779(00)00160-0
  • Journal Name: CHAOS SOLITONS & FRACTALS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.2119-2121
  • Anadolu University Affiliated: No

Abstract

In this note, we give two examples of discrete dynamics (Functions) on intervals C R, the first having a positive Lyapunov exponent at a point but not being sensitive-dependent on initial conditions at that point; and the second being sensitive-dependent on initial conditions at a point but having a negative Lyapunov exponent at that point. (C) 2001 Elsevier Science Ltd. Ah rights reserved.