Hartman-Grobman theorems along hyperbolic stationary trajectories
Edson A. Coayla-Teran - Instituto de Matemática-UFBA, Av. Ademar de Barros s/n, 40170-110 Salvador-BA, Brazil (email)
Abstract: We extend the Hartman-Grobman theorems for discrete random dynamical systems (RDS), proved in , in two directions: for continuous RDS and for hyperbolic stationary trajectories. In this last case there exists a conjugacy between travelling neighborhoods of trajectories and neighborhoods of the origin in the corresponding tangent bundle. We present applications to deterministic dynamical systems.
Keywords: Random dynamical systems, Hartman-Grobman theorems, hyperbolic stationary
Received: December 2005; Revised: September 2006; Available Online: November 2006.
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