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Abstract：
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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Source ：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
ISSN： 0218-1274
Year： 2015
Issue： 2
Volume： 25
2 . 2 0 0
JCR@2022
ESI Discipline： MATHEMATICS;
ESI HC Threshold：82
JCR Journal Grade：2
CAS Journal Grade：3
Cited Count：
WoS CC Cited Count： 93
SCOPUS Cited Count： 98
ESI Highly Cited Papers on the List： 37 Unfold All
WanFang Cited Count：
Chinese Cited Count：
30 Days PV： 1
Affiliated Colleges：
