Chaos for implicit difference equations with snap-back repellers

Hung Ju Chen, Ming-Chia Li*, Shi Xuan Lin

*此作品的通信作者

研究成果: Article同行評審

摘要

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 C1-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.

原文English
頁(從 - 到)180-191
頁數12
期刊Journal of Difference Equations and Applications
24
發行號2
DOIs
出版狀態Published - 1 2月 2018

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