Parameterized center manifold for unfolding bifurcations with an eigenvalue +1 in n-dimensional maps

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Parameterized center manifold for unfolding bifurcations with an eigenvalue +1 in n-dimensional maps

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作者：Guilin Wen^a ; Shan Yin^a ; ^{shan_yin@hnu.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Huidong Xu^b ; ^{xhd0931@126.com" class="auth_mail" title="E-mail the corresponding author} ; Sijin Zhang^a ; Zengyao Lv^a
关键词：Parameterized center manifold ; Fold bifurcation ; High-dimensional maps
刊名：Communications in Nonlinear Science and Numerical Simulation
出版年：2016
出版时间：October 2016
年：2016
卷：39
期：Complete
页码：495-503
全文大小：1005 K

文摘

•: A parameterized center manifold is derived to unfold the solutions of the foldbifurcation with an eigenvalue +1.
•: The conditions of potential bifurcation solutions are established for the fold bifurcation of general maps.
•: The numerical simulations of three four-dimensional maps validate the corresponding theory analysis.

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