Fuzzy Modeling of Continuous Chaotic System

Jian‐an Fang · Journal of Donghua University,Natural Science · 2005

Chaotic system is the new research field of nonlinear science. Because of the complexity and irregularity, there is great difficulty in the mathematic model of the chaotic system. In this paper, a method of fuzzy logical system is used so that we can transfer the fuzzy inference rule into a type of variable coefficient nonlinear ordinary differential equation. Consequently we can get the model of the continuous chaotic system. Simulation results of the Lorenz system and the Rossler system show that such an approach is effective with a high precision.

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