A New Chaotic Behavior from Lorenz and Rossler Systems and Its Electronic Circuit Implementation

Qais H. Alsafasfeh, Mohammad S. Al-Arni

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DOI: 10.4236/cs.2011.22015                

Abstract

This paper presents a new three-dimensional continuous autonomous chaotic system with ten terms and three quadratic nonlinearities. The new system contains five variational parameters and exhibits Lorenz and Rossler like attractors in numerical simulations. The basic dynamical properties of the new system are analyzed by means of equilibrium points, eigenvalue structures. Some of the basic dynamic behavior of the system is explored further investigation in the Lyapunov Exponent. The new system examined in Matlab-Simulink and Orcad-PSpice. An electronic circuit realization of the proposed system is presented using analog electronic elements such as capacitors, resistors, operational amplifiers and multipliers.

Keywords

Chaos, Lorenz System, Rossler System, Lyapunov Exponent, Bifurcation

Conflicts of Interest

The authors declare no conflicts of interest.

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