SHADOWING AND DYNAMICAL SYNTHESIS


AKHMET M.

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

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.