A novel hyperchaotic system and its circuit implementation |
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Authors: | Jie Fang Wei DengYanmin Wu Guoqiang Ding |
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Affiliation: | College of Electric and Information Engineering, Zhengzhou University of Light Industry, Zhengzhou 450002, China |
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Abstract: | A four-dimensional hyperchaotic system with five parameters is proposed. Its dynamical properties such as dissipativity, equilibrium points, Lyapunov exponent, Lyapunov dimension, bifurcation diagrams and Poincare maps are analyzed theoretically and numerically. Theoretical analyses and simulation tests indicate that the new system's dynamics behavior can be periodic attractor, chaotic attractor and hyperchaotic attractor as the parameter varies. Finally, the circuit of this new hyperchaotic system is designed and realized by Multisim software. The simulation results confirm that the chaotic system is different from the existing chaotic systems and is a novel hyperchaotic system. The system is recommendable for many engineering applications such as information processing, cryptology, secure communications, etc. |
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Keywords: | Hyperchaotic attractors Lyapunov exponent Bifurcation Poincare map Circuit implementation |
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