期刊
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
卷 360, 期 1, 页码 293-306出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2009.06.051
关键词
Hyperchaos; Chaos; Ultimate boundedness; Lyapunov exponents; Bifurcation
资金
- National Natural Science Foundation of China [10871074]
- Scientific Research Foundation of Guangxi Education Office of China [200708LX163]
This paper presents a 4D new hyperchaotic system which is constructed by a linear controller to a 3D new chaotic system with one saddle and two stable node-foci. Some complex dynamical behaviors such as ultimate boundedness, chaos and hyperchaos of the simple 4D autonomous system are investigated and analyzed. The corresponding bounded hyperchaotic and chaotic attractor is first numerically verified through investigating phase trajectories. Lyapunove exponents. bifurcation path, analysis of power spectrum and Poincare projections. Finally. two complete mathematical characterizations for 4D Hopf bifurcation are rigorous derived and studied. (C) 2009 Elsevier Inc. All rights reserved.
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