Lyapunov exponents of hyperbolic measures and hyperbolic periodic orbits
Wenxiang Sun, Zhenqi Jenny Wang
TL;DR
This paper discusses how Lyapunov exponents of hyperbolic ergodic measures can be approximated using those of hyperbolic periodic orbits, providing insights into the stability properties of dynamical systems.
Contribution
It introduces a method to approximate Lyapunov exponents of hyperbolic measures via periodic orbits, advancing understanding of hyperbolic dynamics.
Findings
Lyapunov exponents of hyperbolic measures can be approximated by periodic orbit exponents
Provides a link between ergodic measures and periodic orbits in hyperbolic systems
Enhances methods for analyzing stability in dynamical systems
Abstract
Lyapunov exponents of a hyperbolic ergodic measure are approximated by Lyapunov exponents of hyperbolic atomic measures on periodic orbits.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Quantum chaos and dynamical systems · Nonlinear Dynamics and Pattern Formation