Reconstructing embedding spaces of coupled dynamical systems from multivariate data

Year: 2002

Authors: Boccaletti S., Valladares D.L., Pecora L.M., Geffert H.P., Carroll T.

Autors Affiliation: Istituto Nazionale di Ottica Applicata, Largo E. Fermi 6, 50125 Firenze, Italy;
Department of Physics and Applied Mathematics, Universidad de Navarra, E31080 Pamplona, Spain;
Departamento de Fisica, Universidad Nactional de San Luis, San Luis, Argentina;
Code 6343, Naval Research Laboratory, Washington, D.C. 20375

Abstract: A method for reconstructing dimensions of subspaces for weakly coupled dynamical systems is offered. The tool is able to extrapolate the subspace dimensions from the zero coupling limit, where the division of dimensions as per the algorithm is exact. Implementation of the proposed technique to multivariate data demonstrates its effectiveness in disentangling subspace dimensionalities also in the case of emergent synchronized motions, for both numerical and experimental systems.

Journal/Review: PHYSICAL REVIEW E

Volume: 65 (3)      Pages from: 35204-1  to: 35204-4

KeyWords: Time-series Data; Generalized Synchronization; Phase Synchronization; Adaptive Recognition; Lag Synchronization; Chaotic Oscillators; Strange Attractors; Surrogate Data; Prediction; Nonlinearity
DOI: 10.1103/PhysRevE.65.035204

Citations: 46
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