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CONTROLLING IN BETWEEN THE LORENZ AND THE CHEN SYSTEMS

Institute of Systems Science, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, P.R. China

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GUANRONG CHEN

Department of Electronic Engineering, City University of Hong Kong, Kowloon, Hong Kong, P.R. China

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, and

SUOCHUN ZHANG

Institute of Applied Mathematics, Chinese Academy of Sciences, Beijing 100080, P.R. China

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https://doi.org/10.1142/S0218127402005200Cited by:18 (Source: Crossref)

Abstract

This letter investigates a new chaotic system and its role as a joint function between two complex chaotic systems, the Lorenz and the Chen systems, using a simple variable constant controller. With the gradual tuning of the controller, the controlled system evolves from the canonical Lorenz attractor to the Chen attractor through the new transition chaotic attractor. This evolving procedure reveals the forming mechanisms of all similar and closely related chaotic systems, and demonstrates that a simple control technique can be very useful in generating and analyzing some complex chaotic dynamical phenomena.

Keywords:

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