期刊
NONLINEAR DYNAMICS
卷 82, 期 1-2, 页码 131-141出版社
SPRINGER
DOI: 10.1007/s11071-015-2144-8
关键词
Rabinovich system; Hidden attractor; Hopf bifurcation; Boundedness of motion
资金
- Natural Science Foundation of China [11401543, 11290152, 11072008, 41230637]
- Natural Science Foundation of Hubei Province [2014CFB897]
- Fundamental Research Funds for the Central Universities
- China University of Geosciences (Wuhan) [CUGL150419]
- China Postdoctoral Science Foundation [2014M560028]
- Beijing Postdoctoral Research Foundation [2015ZZ]
- Natural Science and Engineering Research Council of Canada [R2686A02]
- Funding Project for Academic Human Resources Development in Institutions of Higher Learning under the Jurisdiction of Beijing Municipality (PHRIHLB)
Based on Rabinovich system, a 4D Rabinovich system is generalized to study hidden attractors, multiple limit cycles and boundedness of motion. In the sense of coexisting attractors, the remarkable finding is that the proposed system has hidden hyperchaotic attractors around a unique stable equilibrium. To understand the complex dynamics of the system, some basic properties, such as Lyapunov exponents, and the way of producing hidden hyperchaos are analyzed with numerical simulation. Moreover, it is proved that there exist four small-amplitude limit cycles bifurcating from the unique equilibrium via Hopf bifurcation. Finally, boundedness of motion of the hyperchaotic attractors is rigorously proved.
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