Error analysis of a hybrid method for computing Lyapunov exponents

DOI10.1007/s00211-012-0486-4zbMath1259.65204OpenAlexW2026905601MaRDI QIDQ1938053

Wolf-Jürgen Beyn, Alexander Lust

Publication date: 1 February 2013

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

Full work available at URL: https://doi.org/10.1007/s00211-012-0486-4

zbMATH Keywords

Lyapunov exponentsasymptotic error analysis

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)

Uses Software

• GAIO

Cites Work

• A hybrid method for computing Lyapunov exponents
• A spectral theory for linear differential systems
• Numerical exterior algebra and the compound matrix method
• Computation of a few Lyapunov exponents for continuous and discrete dynamical systems
• The computation of Lyapunov exponents via spatial integration with application to blowout bifurcations
• On the error in computing Lyapunov exponents by QR methods
• Lyapunov and Sacker-Sell spectral intervals
• Comparison of Different Methods for Computing Lyapunov Exponents
• Computation of the dominant Lyapunov exponent via spatial integration using matrix norms
• Ergodic Properties of Linear Dynamical Systems
• Ergodic theory of chaos and strange attractors
• Computing Lyapunov exponents on a Stiefel manifold
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