Computation of the dominant Lyapunov exponent via spatial integration using matrix norms

DOI10.1098/rspa.2003.1143zbMath1042.37062OpenAlexW2169444962MaRDI QIDQ3043406

Michael Dellnitz, Philip J. Aston

Publication date: 6 August 2004

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: http://epubs.surrey.ac.uk/1551/1/fulltext.pdf

zbMATH Keywords

Lyapunov exponentsinvariant measuresubdivision algorithmblowout bifurcation

Mathematics Subject Classification ID

Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Numerical bifurcation problems (65P30) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25)

Related Items (4)

A hybrid method for computing Lyapunov exponents ⋮ Estimating the largest Lyapunov exponent and noise level from chaotic time series ⋮ Error analysis of a hybrid method for computing Lyapunov exponents ⋮ LYAPUNOV-EXPONENT SPECTRUM FROM NOISY TIME SERIES

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