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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

IDENTIFYING PHASE SYNCHRONOUS REGIMES IN NON-COHERENT AND MULTIPLE SCROLL ATTRACTOR SYSTEMS

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Author(s):
Follmann, Rosangela [1] ; Rosa, Jr., Epaminondas [2] ; Macau, Elbert E. N. [3] ; Castilho Piqueira, Jose Roberto [1]
Total Authors: 4
Affiliation:
[1] Univ Sao Paulo, Escola Politecn, Sao Paulo - Brazil
[2] Illinois State Univ, Dept Phys, Normal, IL 61761 - USA
[3] Brazilian Natl Inst Space Res INPE, Associate Lab Comp & Appl Math LAC, Sao Jose Dos Campos - Brazil
Total Affiliations: 3
Document type: Journal article
Source: INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS; v. 23, n. 11 NOV 2013.
Web of Science Citations: 1
Abstract

This work discusses the applicability of a method for phase determination of scalar time series from nonlinear systems. We apply the method to detect phase synchronization in different scenarios, and use the phase diffusion coefficient, the Lyapunov spectrum, and the similarity function to characterize synchronization transition in nonidentical coupled Rossler oscillators, both in coherent and non-coherent regimes. We also apply the method to detect phase synchronous regimes in systems with multiple scroll attractors as well as in experimental time series from coupled Chua circuits. The method is of easy implementation, requires no attractor reconstruction, and is particularly convenient in the case of experimental setups with a single time series data output. (AU)

FAPESP's process: 11/13871-4 - Study of phase synchronization in oscillators networks and applications to information retrieval
Grantee:Rosângela Follmann Bageston
Support type: Scholarships in Brazil - Post-Doctorate