Generating the New Chaotic Attractors of the Lorenz System Family via Anti-Controlling Method

Xin Deng

doi:10.4028/www.scientific.net/AMR.542-543.1042

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 542-543Generating the New Chaotic Attractors of the...

Generating the New Chaotic Attractors of the Lorenz System Family via Anti-Controlling Method

Abstract:

In this paper, the first new chaotic system is gained by anti-controlling Chen system,which belongs to the general Lorenz system; also, the second new chaotic system is gained by anti-controlling the first new chaotic system, which belongs to the general Lü system. Moreover,some basic dynamical properties of two new chaotic systems are studied, either numerically or analytically. The obtained results show clearly that Chen chaotic system and two new chaotic systems also can form another Lorenz system family and deserve further detailed investigation.