A new hyperchaotic system and its synchronization |
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Authors: | Song Zheng Gaogao Dong Qinsheng Bi |
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Affiliation: | Faculty of Science, Jiangsu University, Zhenjiang Jiangsu 212013, PR China |
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Abstract: | In this paper, a four-dimensional (4D) continuous autonomous hyperchaotic system is introduced and analyzed. This hyperchaotic system is constructed by adding a linear controller to the 3D autonomous chaotic system with a reverse butterfly-shape attractor. Some of its basic dynamical properties, such as Lyapunov exponents, Poincare section, bifurcation diagram and the periodic orbits evolving into chaotic, hyperchaotic dynamical behavior by varying parameter d are studied. Furthermore, the full state hybrid projective synchronization (FSHPS) of new hyperchaotic system with unknown parameters including the unknown coefficients of nonlinear terms is studied by using adaptive control. Numerical simulations are presented to show the effective of the proposed chaos synchronization scheme. |
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Keywords: | Hyperchaos Chaos Lyapunov exponents Bifurcation FSHPS |
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