Measuring Lyapunov exponents of large chaotic systems with global coupling by time series analysis

DOI10.1063/1.5066087zbMath1404.37097arXiv1810.01146OpenAlexW2895569400WikidataQ90838509 ScholiaQ90838509MaRDI QIDQ4644734

Taro Shimizu, Kazumasa A. Takeuchi

Publication date: 8 January 2019

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.01146

Mathematics Subject Classification ID

Complex behavior and chaotic systems of ordinary differential equations (34C28) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25)

Cites Work

• Unnamed Item
• Large volume limit of the distribution of characteristic exponents in turbulence
• Clustering, coding, switching, hierarchical ordering, and control in a network of chaotic elements
• Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. I: Theory
• Anomalous Lyapunov spectrum in globally coupled oscillators
• From collective oscillations to collective chaos in a globally coupled oscillator system
• Control of chaos: methods and applications. II: Applications
• A Numerical Approach to Ergodic Problem of Dissipative Dynamical Systems
• Lyapunov Exponents
• Ergodic theory of chaos and strange attractors
• Using machine learning to replicate chaotic attractors and calculate Lyapunov exponents from data
• Chaos in Dynamical Systems
• Nonlinear Time Series Analysis

This page was built for publication: Measuring Lyapunov exponents of large chaotic systems with global coupling by time series analysis