Journal
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Volume 235, Issue 8, Pages 2775-2789Publisher
ELSEVIER
DOI: 10.1016/j.cam.2010.11.029
Keywords
Hyperchaos; Chaos; Lyapunov exponents; Circuitry implementation; Hyperchaos control
Categories
Funding
- National Natural Science Foundation of China [10762005]
- Scientific Research Foundation of Guangxi Education Office of China [200911LX362]
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This paper presents a 4D new hyperchaotic system which is constructed by a linear controller to a 3D Lu system. Some complex dynamical behaviors such as Hopf bifurcation, chaos and hyperchaos of the simple 4D autonomous system are investigated and analyzed. The corresponding hyperchaotic and chaotic attractor is first numerically verified through investigating phase trajectories. Lyapunove exponents, bifurcation path, analysis of power spectrum and Poincare projections. Furthermore, the design is illustrated with both simulations and experiments. Finally, the control problem of a new hyperchaotic system is investigated using negative feedback control. Ordinary feedback control, dislocated feedback control and speed feedback control are used to suppress hyperchaos to an unstable equilibrium. Numerical simulations are presented to demonstrate the effectiveness of the proposed controllers. (C) 2010 Elsevier B.V. All rights reserved.
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