STOCHASTIC VERSIONS OF HARTMAN–GROBMAN THEOREMS
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We present versions of Hartman–Grobman theorems for random dynamical systems (RDS) in the discrete case. We use the same random norm like in Wanner [14], but instead of using difference equations, we perform an appropriate generalization of the deterministic arguments in an adequate space of measurable homeomorphisms to extend the results in [14] with weaker hypotheses (integrability instead of boundedness) and simpler arguments.
- State University of Campinas Brazil
Dynamical systems with hyperbolic orbits and sets, Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents, local conjugacy, random diffeomorphisms, hyperbolic fixed points, Hartman-Grobman theorem, Stochastic systems and control
Dynamical systems with hyperbolic orbits and sets, Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents, local conjugacy, random diffeomorphisms, hyperbolic fixed points, Hartman-Grobman theorem, Stochastic systems and control
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