BISHADOWING AND HYPERBOLICITY

Author:

DIAMOND PHIL1,LEE KEONHEE1,HAN YINGHAO2

Affiliation:

1. Department of Mathematics, University of Queensland, Brisbane, QLD 4072, Australia

2. Department of Mathematics, Yanbian University, Yanji, Jinlin, China

Abstract

Shadowing of a dynamical system is often used to justify the validity of computer simulations of the system, and in numerical calculations an inverse form of the shadowing concept is also of some interest. In this paper we characterize the notion of shadowing in terms of stability, and express the notion of hyperbolicity using the concept of inverse shadowing.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Reference15 articles.

1. Approximate and Real Trajectories for Generic Dynamical Systems

2. P. Diamond, P. Kloeden and A. Pokrovskii, Miniconf. Analysis and Applications (Centre for Mathematics and its Applications, Canberra, Australia, 1993) pp. 47–60.

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