Invariance Principle and dynamics
Fran\c{c}ois Ledrappier
TL;DR
This survey explores how invariance principles manifest in dynamical systems, particularly when zero Lyapunov exponents are present, highlighting their theoretical significance.
Contribution
It provides a comprehensive overview of invariance phenomena associated with zero Lyapunov exponents in dynamical systems theory.
Findings
Identifies key invariance principles in systems with zero Lyapunov exponents
Summarizes recent developments in the theory of dynamical invariances
Highlights open problems and future research directions
Abstract
This is a survey of some invariances that arise in dynamical systems theory in the presence of zero Lyapunov exponents.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Advanced Differential Equations and Dynamical Systems · Chaos control and synchronization