SHADOWING AND DYNAMICAL SYNTHESIS


AKHMET M.

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, vol.19, no.10, pp.3339-3346, 2009 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 19 Issue: 10
  • Publication Date: 2009
  • Doi Number: 10.1142/s0218127409024797
  • Title of Journal : INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
  • Page Numbers: pp.3339-3346

Abstract

We discuss a system with a discontinuity moments generator to obtain the solutions. It is proven that the system is chaotic and has shadowing property [Anosov, 1967; Bowen, 1975; Hammel et al., 1987; Robinson, 1995] if the generator possesses these characteristics. Illustrative examples are provided.