Characterization of synchronized spatiotemporal states in coupled nonidentical complex Ginzburg-Landau equations

Year: 2000

Authors: Bragard J., Arecchi F.T., Boccaletti S.

Autors Affiliation: Univ. of Liege, Dept Phys, Liege Belgium;
Istituto Nazionale di Ottica, Largo E. Fermi 6, 50125 Firenze, Italy;
Univ. of Florence, Dept Phys;
Univ Navarra, Dept Phys & Appl Math, Pamplona, Spain

Abstract: We characterize the synchronization of two nonidentical spatially extended fields ruled by one-dimensional Complex Ginzburg-Landau equations, in the two regimes of phase and amplitude turbulence. If two fields display the same dynamical regime, the coupling induces a transition to a completely synchronized state. When, instead, the two fields are in different dynamical regimes, the transition to complete synchronization is mediated by defect synchronization. In the former case, the synchronized manifold is dynamically equivalent to that of the unsynchronized systems, while in the latter case the synchronized state substantially differs from the unsynchronized one, and it is mainly dictated by the synchronization process of the space-time defects.

Journal/Review: INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

Volume: 10 (10)      Pages from: 2381  to: 2389

More Information: The authors would like to acknowledge J. Kurths, H. L. Mancini and A. Pikovski for useful discussions, and W. Gonz alez-Viñas for the help with the imaging software. Work was partly supported by Integrated Action Italy-Spain HI97-30. S. Boc-caletti acknowledges nancial support from EU Contract n. ERBFMBICT983466. J. Bragard bene ts from a EU Network grant under Contract FM-RXCT960010 \Nonlinear dynamics and statistical physics of spatially extended systems”.
KeyWords: Chaotic Oscillators; Generalized Synchronization; Phase Synchronization; Systems
DOI: 10.1142/S0218127400001493

Citations: 16
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