2013•Applied Mechanics and MaterialsRequires access

A New Chaotic System Family Dynamics Analysis and Circuit Implementation

Shu Min Duan, Guo Zeng Wu

Abstract

A new three-dimensional chaotic system is presented in this paper. Some basic dynamical Properties of this chaotic system are investigated by means of Poincaré mapping, Lyapunov exponents and bifurcation diagram. The dynamical behaviours of this system are proved not only by performing numerical simulation and brief theoretical analysis but also by conducting an electronic circuit implementation. It is new physical phenomenon that the Poincaré mapping of this system is a group of parallel lines.

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Key concepts: Bifurcation diagram, Lyapunov exponent, Chaotic, Poincaré map, Bifurcation, Poincaré conjecture, Computer science, Control theory (sociology)