Recurrent motions and global attractors of non-autonomous Lorenz systems

DOI10.1080/14689360310001624132zbMath1060.37016OpenAlexW2131042552MaRDI QIDQ4470307

David N. Cheban, Jin-qiao Duan

Publication date: 22 June 2004

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689360310001624132

zbMATH Keywords

dissipativityglobal attractorsaveragingrecurrencynonautonomous Lorenz systems

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Averaging method for ordinary differential equations (34C29) Attractors of solutions to ordinary differential equations (34D45) Nonautonomous smooth dynamical systems (37C60) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

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Chaotic and non-chaotic strange attractors of a class of non-autonomous systems ⋮ Boundedness of the complex Chen system ⋮ Dynamics of a Class of Nonautonomous Lorenz-Type Systems ⋮ Bifurcation and dynamics of the complex Chen systems ⋮ Dynamics of a class of fractional-order nonautonomous Lorenz-type systems ⋮ Averaging principle on infinite intervals for stochastic ordinary differential equations ⋮ Boundedness of a Class of Complex Lorenz Systems

Cites Work

• Random attractors
• A priori estimates and smoothness of solutions of a system of quasi-linear equations that is elliptic in the Douglis-Nirenberg sense
• Upper semicontinuity of attractors for small random perturbations of dynamical systems
• GLOBAL PULLBACK ATTRACTORS OF ${\mathbb C}$-ANALYTIC NONAUTONOMOUS DYNAMICAL SYSTEMS
• Deterministic Nonperiodic Flow