Estimation of attractors and Synchronization of Generalized Lorenz Systems

Deriviere S. and Aziz Alaoui M.A.

Labo. of Maths., Le Havre University, France.

Dynamics of Continuous, Discrete and Impulsive Systems. Vol.10(6)b, pp: 833-852, (2003).


In this paper, we will show how to obtain good estimations of attractors of a class of dynamical systems called `generalized Lorenz systems'. We will then analyze the synchronization of two linearly-coupled systems, and apply these results to the new chaotic system we introduce here.

Keywords: Generalized Lorenz attractors, Estimation of attractors, Synchronization, Lyapunov function, LaSalle invariance principle

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