Dynamics of the Chain of Oscillators with Long-Range Interaction: From Synchronization to Chaos - Nonlinear Sciences > Chaotic DynamicsReport as inadecuate




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Abstract: We consider a chain of nonlinear oscillators with long-range interaction ofthe type 1-l^{1+alpha}, where l is a distance between oscillators and 0< alpha<2. In the continues limit the system-s dynamics is described by theGinzburg-Landau equation with complex coefficients. Such a system has a newparameter alpha that is responsible for the complexity of the medium and thatstrongly influences possible regimes of the dynamics. We study differentspatial-temporal patterns of the dynamics depending on alpha and showtransitions from synchronization of the motion to broad-spectrum oscillationsand to chaos.



Author: G.M Zaslavsky, M. Edelman, V.E. Tarasov

Source: https://arxiv.org/







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