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Liapunov exponents from time series
Physical review. A, General physics · 1986 · Vol. 34(6) · pp. 4971–4979
Jean‐Pierre Eckmann✉(University of Geneva)Sylvie Oliffson Kamphorst(University of Geneva)David Ruelle(University of Geneva)S. Ciliberto(University of Geneva)
Abstract
We analyze in detail an algorithm for computing Liapunov exponents from an experimental time series. As an application, a hydrodynamic experiment is investigated.Received 24 April 1986DOI:https://doi.org/10.1103/PhysRevA.34.4971©1986 American Physical Society
Complex Systems and Time Series AnalysisNonlinear Dynamics and Pattern FormationChaos control and synchronizationSeries (stratigraphy)Statistical physicsPhysicsQuantum electrodynamicsClassical mechanics
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References
Geometry from a Time Series
Physical Review Letters · 1980 · 3,850 citations
Ergodic theory of chaos and strange attractors
Reviews of Modern Physics · 1985 · 4,848 citations
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