L'évaluation des bornes du système hyper-chaotique de Lorenz-Haken.

Abstract

The first part of this thesis is dedicated to the study a dynamic complex financial system, the boundedness of solutions of this system is concerned. We have obtained the ultimate bound for the system.Furthermore, its rich dynamics are investigated through numerical simulations. By using the Lyapunov exponents technic, it is found that the variation of system parameters can induce the parameter ranges of chaos are different. Finally, numerical simulations are given to verify the effectiveness and correctness of the obtained results.

The second part of this thesis is dedicated to the study of the hyper-chaotic Lorenz-Haken system is considered and the solution bounds of such a system are investigated. Based on the Time-domain approach. Finally a numerical example is provided to illustrate the main result.