标题:Almost-periodic bifurcations for one-dimensional degenerate vector fields
作者:Si W.; Xu X.; Si J.
作者机构:[Si, W] School of Mathematics, Shandong University, Jinan, China;[ Xu, X] School of Mathematics, Shandong University, Jinan, China;[ Si, J] School of 更多
通讯作者:Si, J(sijgmath@sdu.edu.cn)
通讯作者地址:[Si, J] School of Mathematics, Shandong UniversityChina;
来源:Dynamical Systems
出版年:2019
DOI:10.1080/14689367.2019.1665624
关键词:Almost-periodic bifurcations; KAM theory; Pöschel–Rüssmann KAM method; singularity theory; universal unfolding
摘要:Quasi-periodic high order degenerate bifurcation theories have been well established, but works which are related to almost-periodic bifurcations seem to be very few. In this paper, we consider the almost-periodic time-dependent perturbations of one-dimensional degenerate vector field (Formula presented.) With the KAM theory and singularity theory, we show that the universal unfolding of the vector field can persist under small almost-periodic perturbation if some appropriate non-resonant conditions are satisfied, which implies strongly non-resonant invariant tori in the integrable part and all bifurcation scenario can survive under any small almost-periodic perturbation. © 2019, © 2019 Informa UK Limited, trading as Taylor & Francis Group.
收录类别:SCOPUS
资源类型:期刊论文
原文链接:https://www.scopus.com/inward/record.uri?eid=2-s2.0-85074055056&doi=10.1080%2f14689367.2019.1665624&partnerID=40&md5=d38ddf8921f23bbf81ecd3f94fb71e70
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