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摘要:
This paper proposes a chaotic jerk system coexisting with only one non-hyperbolic equilibrium with one zero eigenvalue and a pair of complex conjugate eigenvalues. The system has no classical Hopf bifurcations and belongs to a newly category of chaotic systems. Based on the averaging theory, an analytic proof of the existence of zero-Hopf bifurcation is exhibited. Moreover, unstable periodic orbits from the zero-Hopf bifurcation are obtained. This approach may be useful to clarify chaotic attractors with non-hyperbolic equilibrium hidden behind complicated phenomena.
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来源 :
NONLINEAR DYNAMICS
ISSN: 0924-090X
年份: 2015
期: 3
卷: 82
页码: 1251-1258
5 . 6 0 0
JCR@2022
ESI学科: ENGINEERING;
ESI高被引阀值:174
JCR分区:1
中科院分区:2