Scaling and interleaving of subsystem Lyapunov exponents for spatio-temporal systems

DOI10.1063/1.166420zbMath0983.37109arXivchao-dyn/9807038OpenAlexW2170776032WikidataQ51639091 ScholiaQ51639091MaRDI QIDQ4515099

David S. Broomhead, J. Huke, S. Ørstavik, Jaroslav Stark, R. Carretero-González

Publication date: 12 November 2000

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

Full work available at URL: https://arxiv.org/abs/chao-dyn/9807038

zbMATH Keywords

rescalinglargest Lyapunov exponentKolmogorov-Sinai entropyLyapunov spectrumLyapunov exponentLyapunov dimensionspatio-temporal chaotic regimes

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25)

Related Items

Jaroslav Stark: 1960–2010 ⋮ Adaptive control of spatiotemporal chaos in coupled map lattices ⋮ Clustering and diffusion in a symplectic map lattice with non-local coupling ⋮ Stability analysis of fixed point of fractional-order coupled map lattices ⋮ Modified Lyapunov exponent, new measure of dynamics ⋮ Lyapunov spectrum of a lattice of chaotic systems with local and non-local couplings ⋮ Lyapunov exponents of a lattice of chaotic maps with a power-law coupling ⋮ A wavelet method for the characterization of spatiotemporal patterns ⋮ Estimation of intensive quantities in spatio-temporal systems from time-series ⋮ Kolmogorov-Sinai entropy for locally coupled piecewise linear maps

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