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Switching-induced Wada basin boundaries in the HACOnon map
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Switching-induced Wada basin boundaries in the HACOnon map
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Journal Article
Switching-induced Wada basin boundaries in the HACOnon map
2013
Overview
Whether Wada basin boundaries can occur typically in dynamical systems other than smooth systems has been an open question. We verify the existence of Wada basin boundaries in a switched HACOnon map. We combine two basin boundaries (non-Wada property) but when they are alternated in periodic manners the Wada basin boundaries can be created. We give some mathematically rigorous results guaranteeing these emerging Wada basin boundaries by the auxiliary dynamics method. It suggests that switching can also induce the consequence of the existence of a high number of possible final states.
Subject
