|Title:||Chaos for implicit difference equations with snap-back repellers||Authors:||HUNG-JU CHEN
Lin, Shi Xuan
Li, Ming Chia
|Keywords:||chaos | Difference equation | perturbation | topological entropy||Issue Date:||1-Feb-2018||Journal Volume:||24||Journal Issue:||2||Source:||Journal of Difference Equations and Applications||Abstract:||
© 2018 Informa UK Limited, trading as Taylor & Francis Group. 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.
|Appears in Collections:||經濟學系|
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