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Abstract：
This paper reports the finding of a four-dimensional (4D) non-Sil＇nikov autonomous system with three quadratic nonlinearities, which exhibits some behavior previously unobserved: hidden hyperchaotic attractors with only one stable equilibrium. The algebraical form of the non-Sil＇nikov chaotic attractor is very similar to the hyperchaotic Lorenz-Stenflo system but they are different and, in fact, nonequivalent in topological structures. Of particular interest is the fact this system has only one stable equilibrium, but can exhibit hidden hyperchaos, chaos, periodic orbit. Moreover, the coexistence of attracting sets can be obtained in the system for some parameter values and different initial conditions, such as hyperchaotic attractor and point, hyperchaotic attractor and period orbit. To further analyze the new system, the ultimate bound and positively invariant set for the modified hyperchaotic Lorenz-Stenflo system are also obtained. Moreover, the complete mathematical characterizations for 4D Hopf bifurcation are rigorously derived and studied.
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INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
ISSN： 0218-1274
Year： 2014
Issue： 10
Volume： 24
2 . 2 0 0
JCR@2022
ESI Discipline： MATHEMATICS;
ESI HC Threshold：81
JCR Journal Grade：2
CAS Journal Grade：3
Cited Count：
WoS CC Cited Count： 139
SCOPUS Cited Count： 149
ESI Highly Cited Papers on the List： 39 Unfold All
WanFang Cited Count：
Chinese Cited Count：
30 Days PV： 9
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