Recurrent motions and global attractors of non-autonomous Lorenz systems
Titel:
Recurrent motions and global attractors of non-autonomous Lorenz systems
Auteur:
Cheban, David Duan, Jinqiao
Verschenen in:
Dynamical systems
Paginering:
Jaargang 19 (2004) nr. 1 pagina's 41-59
Jaar:
2004-03
Inhoud:
This paper is devoted to the study of dynamics of non-autonomous Lorenz systems. These systems are formulated and investigated in the context of non-autonomous dynamical systems. First, we prove that such systems admit a compact global attractor and characterize its structure. Then, we obtain conditions of convergence, under which all solutions of the non-autonomous Lorenz systems approach a point attractor. Third, we derive a criterion for existence of almost periodic, quasi-periodic, periodic, and recurrent motions. Finally, we prove a global averaging principle for non-autonomous Lorenz systems.
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