2010•Acta Physica SinicaOpen access

Study on a new chaotic system with analysis and circuit experiment

Zhe Xu, Chongxin Liu, Yang Tao, 西安交通大学电气工程学院，电力设备电气绝缘国家重点实验室，西安 710049

Abstract

In this paper，we study a new chaotic system which is totally different from the Lorenz chaotic system，Chen chaotic system and Liu chaotic system. Firstly，the basic dynamical behaviors of new chaotic system are studied. The influence of system parameter on the chaotic system is discussed through Lyapunov exponent spectrum and bifurcation diagram. The results between simulation and experiment are in good agreement，thereby proving the veracity of analysis.

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Key concepts: Chaotic, Lyapunov exponent, Bifurcation diagram, Computer science, Lorenz system, Statistical physics, Butterfly effect, Chaotic systems