A hybrid method for computing Lyapunov exponents

DOI10.1007/s00211-009-0236-4zbMath1178.37117OpenAlexW2043871925MaRDI QIDQ841125

Alexander Lust, Wolf-Jürgen Beyn

Publication date: 14 September 2009

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-009-0236-4

zbMATH Keywords

Lyapunov exponents

Mathematics Subject Classification ID

Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25) Numerical nonlinear stabilities in dynamical systems (65P40)

Related Items (6)

A hybrid method for computing Lyapunov exponents ⋮ Shortest positive products of nonnegative matrices ⋮ Lower and upper bounds for the largest Lyapunov exponent of matrices ⋮ Error analysis of a hybrid method for computing Lyapunov exponents ⋮ Lyapunov Exponent of Rank-One Matrices: Ergodic Formula and Inapproximability of the Optimal Distribution ⋮ Spectral Theory for Perturbed Systems

Uses Software

• GAIO

Cites Work

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• Computation of the dominant Lyapunov exponent via spatial integration using matrix norms
• Ergodic Properties of Linear Dynamical Systems
• Computing Lyapunov spectra with continuous Gram - Schmidt orthonormalization
• On the Approximation of Complicated Dynamical Behavior
• The Lorenz attractor exists
• Ergodic theory of chaos and strange attractors
• Lyapunov Spectral Intervals: Theory and Computation
• Computing Lyapunov exponents on a Stiefel manifold
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