Local Gram-Schmidt and covariant Lyapunov vectors and exponents for three harmonic oscillator problems

DOI10.1016/J.CNSNS.2011.06.025zbMath1246.82057arXiv1106.2367OpenAlexW2020435278MaRDI QIDQ430372

Carol Griswold Hoover, William G. Hoover

Publication date: 21 June 2012

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.2367

zbMATH Keywords

Lyapunov instabilityGram-Schmidt orthonormalizationcovariant Lyapunov spectrum

Mathematics Subject Classification ID

Foundations of time-dependent statistical mechanics (82C03) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25) Orthogonalization in numerical linear algebra (65F25) Dynamical aspects of statistical mechanics (37A60)

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Cites Work

• Unnamed Item
• Phase-space growth rates, local Lyapunov spectra, and symmetry breaking for time-reversible dissipative oscillators
• Stability and Lyapunov stability of dynamical systems: a differential approach and a numerical method
• Theory and computation of covariant Lyapunov vectors
• The second law of thermodynamics and multifractal distribution functions: bin counting, pair correlations, and the Kaplan-Yorke conjecture
• A Numerical Approach to Ergodic Problem of Dissipative Dynamical Systems
• Ergodic theory of chaos and strange attractors

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