Analysing Lyapunov spectra of chaotic dynamical systems

Abstract

It is shown that the asymptotic spectra of finite-time Lyapunov exponents of a variety of fully chaotic dynamical systems can be understood in terms of a statistical analysis. Using random matrix theory we derive numerical and in particular analytical results which provide insights into the overall behaviour of the Lyapunov exponents particularly for strange attractors. The corresponding distributions for the unstable periodic orbits are investigated for comparison.

4 pages, 4 figures

References in corpus (3)

• Characteristic distributions of finite-time Lyapunov exponents
• A general approach to the localization of unstable periodic orbits in chaotic dynamical systems
• Systematic Computation of the Least Unstable Periodic Orbits in Chaotic Attractors

Cited by in corpus (4)

• Statistics of finite-time Lyapunov exponents in a random time-dependent potential
• Infinite Products of Large Random Matrices and Matrix-valued Diffusion
• Classical Dynamics of Harmonically Trapped Interacting Particles
• Chaos Beyond Linearized Stability Analysis: Folding of the Phase Space and Distribution of Lyapunov Exponents