Browsing by Author "Lin, Shi-Xuan"

Now showing 1 - 1 of 1

Chaos for implicit difference equations with snap-back repellers
(2018-01-01)
Chen, Hung-Ju
;
Li, Ming-Chia
;
Lin, Shi-Xuan
;
應用數學系
;
Department of Applied Mathematics
This paper is a study of chaos for generalized dynamical systems derived from implicit difference equations. We define a snap-back repeller for an implicit difference equation and show that its existence implies chaotic dynamics for all small C-1-perturbed systems. By chaotic dynamics, we mean that the solution set of an implicit difference equation contains a compact subset on which the Bernoulli shift map is invariant and has positive topological entropy.