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Title: Complete synchronization and delayed synchronization in couplings
Authors: Lopes, Luís Mário
Fernandes, Sara
Grácio, Clara
Keywords: Couplings of chaotic dynamical systems
Complete synchronization
Delayed synchronization
Windows of synchronization
Issue Date: 2014
Publisher: Nonlinear Dynamics
Citation: Luís Mário Lopes, Sara Fernandes & Clara Grácio, Complete synchronization and delayed synchronization in couplings, Nonlinear Dynamics, Vol.76, No3. Springer, (2014), DOI 10.1007/s11071-014-1764-8.
Abstract: We consider a general coupling of two identical chaotic dynamical systems, and we obtain the conditions for synchronization. We consider two types of synchronization: complete synchronization and delayed synchronization. Then, we consider four different couplings having different behaviors regard- ing their ability to synchronize either completely or with delay: Symmetric Linear Coupled System, Com- manded Linear Coupled System, Commanded Cou- pled System with delay and symmetric coupled sys- tem with delay. The values of the coupling strength for which a coupling synchronizes define its Window of synchronization. We obtain analytically the Windows of complete synchronization, and we apply it for the considered couplings that admit complete synchroniza- tion. We also obtain analytically the Window of chaotic delayed synchronization for the only considered cou- pling that admits a chaotic delayed synchronization, the commanded coupled system with delay. At last, we use four different free chaotic dynamics (based in tent map, logistic map, three-piecewise linear map and cubic-like map) in order to observe numerically the analytically predicted windows.
Type: article
Appears in Collections:PED - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica
CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica

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