Bifurcations and chaos in a three-dimensional generalized Hénon map

Bifurcations and chaos in a three-dimensional generalized Hénon map

Abstract This article presents the bifurcation and chaos phenomenon of the three-dimensional generalized Hénon map. We establish the existence and stability conditions for the fixed points of the system. According to the center manifold theorem and bifurcation theory, we get the existence conditions...

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Bibliographic Details
Main Authors: Jingjing Zheng, Ziwei Wang, You Li, Jinliang Wang
Format: Article
Language:English
Published: SpringerOpen 2018-05-01
Series:Advances in Difference Equations
Subjects:
Hénon map
Fold bifurcation
Flip bifurcation
Naimark–Sacker bifurcation
Double-cycle
Online Access:http://link.springer.com/article/10.1186/s13662-018-1622-y

Internet

http://link.springer.com/article/10.1186/s13662-018-1622-y

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