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Mathematics > Dynamical Systems

arXiv:1804.00950 (math)
[Submitted on 3 Apr 2018 (v1), last revised 17 Oct 2018 (this version, v3)]

Title:A KAM-Theorem for Persistence of Quasi-periodic Invariant Tori in Bifurcation Theory of Equilibrium Points

Authors:Xuemei Li, Zaijiu Shang
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Abstract:In this paper, we establish a KAM-theorem for ordinary differential equations with finitely differentiable vector fields and multiple degeneracies. The theorem can be used to deal with the persistence of quasi-periodic invariant tori in multiple Hopf and zero-multiple Hopf bifurcations, as well as their subordinate bifurcations, of equilibrium points of continuous dynamical systems.
Comments: 38pages
Subjects: Dynamical Systems (math.DS)
Cite as: arXiv:1804.00950 [math.DS]
  (or arXiv:1804.00950v3 [math.DS] for this version)
  https://doi.org/10.48550/arXiv.1804.00950

Submission history

From: Xuemei Li [view email]
[v1] Tue, 3 Apr 2018 13:17:21 UTC (31 KB)
[v2] Tue, 17 Jul 2018 02:36:19 UTC (31 KB)
[v3] Wed, 17 Oct 2018 02:58:31 UTC (32 KB)
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