Reconstructing embedding spaces of coupled dynamical systems from multivariate data
Anno: 2002
Autori: Boccaletti S., Valladares D.L., Pecora L.M., Geffert H.P., Carroll T.
Affiliazione autori: 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.
Giornale/Rivista: PHYSICAL REVIEW E
Volume: 65 (3) Da Pagina: 035204-1 A: 035204-4
Parole chiavi: TIME-SERIES DATA; GENERALIZED SYNCHRONIZATION; PHASE SYNCHRONIZATION; ADAPTIVE RECOGNITION; LAG SYNCHRONIZATIONDOI: 10.1103/PhysRevE.65.035204Citazioni: 45dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2024-05-12Riferimenti tratti da Isi Web of Knowledge: (solo abbonati) Link per visualizzare la scheda su IsiWeb: Clicca quiLink per visualizzare la citazioni su IsiWeb: Clicca qui