Cluster-weighted modeling: estimation of the Lyapunov spectrum in driven systems

Ghosh, Anandamohan ; Ramaswamy, Ram (2005) Cluster-weighted modeling: estimation of the Lyapunov spectrum in driven systems Physical Review E - Statistical, Nonlinear and Soft Matter Physics, 71 (1). Article ID 016224. ISSN 1539-3755

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Official URL: http://journals.aps.org/pre/abstract/10.1103/PhysR...

Related URL: http://dx.doi.org/10.1103/PhysRevE.71.016224

Abstract

Cluster-weighted modeling based techniques are shown to be accurate, efficient, and robust in application to the problem of computing the Lyapunov spectrum from time-series data. We develop a method that is appropriate for application to driven nonlinear dynamical systems and show, in particular, that it is possible to estimate both global and local Lyapunov exponents through this technique. For dynamics on strange nonchaotic attractors, the present approach correctly determines a largest Lyapunov exponent that is negative.

Item Type:Article
Source:Copyright of this article belongs to The American Physical Society.
ID Code:98865
Deposited On:26 May 2015 12:07
Last Modified:26 May 2015 12:07

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