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摘要：
In this paper, an extended Rikitake system is studied. Several issues, such as Hopf bifurcation, coexistence of stable equilibria and hidden attractor, and dynamics analysis at infinity are investigated either analytically or numerically. Especially, by a simple linear transformation, the wide range of hidden attractors is noticed, and the Lyapunov exponents diagram is given. The obtained results show that the unstable periodic solution generated by Hopf bifurcation leads to the hidden attractor. The existence of hidden attractors that may render the system＇s behavior unpredictable not only depends on the value of system parameters but also on the value of initial conditions. The phenomena are important and potentially problematic in engineering applications.
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通讯作者信息：
来源 ：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
ISSN： 0218-1274
年份： 2015
期： 2
卷： 25
2 . 2 0 0
JCR@2022
ESI学科： MATHEMATICS;
ESI高被引阀值：82
JCR分区：2
中科院分区：3
归属院系：
