A New 3D Cubic Chaotic System and its Circuitry Implementation

Abstract:

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A new three-dimensional cubic chaotic system is reported. This new system contains five system parameters and each equation contains nonlinear term. Moreover, two equations of nonlinear term is cubic. The basic properties of the new system are investigated via theoretical analysis, numerical simulation, Lyapunov exponent spectrum, bifurcation diagram, Lyapunov dimension and Poincare diagram. The different dynamic behaviors of the new system are analyzed when each system parameter is changed .An electronic circuit was designed to realize the new chaotic system. Experimental chaotic behaviors of the system were found to be identical to the dynamic properties predicted by theoretical analysis and numerical simulations.

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Periodical:

Edited by:

Han Zhao

Pages:

3924-3927

DOI:

10.4028/www.scientific.net/AMM.130-134.3924

Citation:

W. Deng et al., "A New 3D Cubic Chaotic System and its Circuitry Implementation", Applied Mechanics and Materials, Vols. 130-134, pp. 3924-3927, 2012

Online since:

October 2011

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Price:

$35.00

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