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Bifurcation structure of interval maps with orbits homoclinic to a saddle-focus

UDC 517.9 We study homoclinic bifurcations in an interval map associated with a saddle-focus of (2, 1)-type in $Z_2$-symmetric systems. Our study of this map reveals a homoclinic structure of the saddle-focus, with bifurcation unfolding guided by the codimension-two Belyakov bifurcation...

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Bibliographic Details
Date:2024
Main Authors: Hinsley, Carter, Scully, James, Shilnikov, Andrey L.
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2024
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/7706
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal

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Ukrains’kyi Matematychnyi Zhurnal

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