4.7 Article

Dynamics of the chain of forced oscillators with long-range interaction: From synchronization to chaos

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CHAOS
卷 17, 期 4, 页码 -

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AMER INST PHYSICS
DOI: 10.1063/1.2819537

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We consider a chain of nonlinear oscillators with long-range interaction of the type 1/l(1+alpha), where l is a distance between oscillators and 0 < 2. In the continuous limit, the system's dynamics is described by a fractional generalization of the Ginzburg-Landau equation with complex coefficients. Such a system has a new parameter alpha that is responsible for the complexity of the medium and that strongly influences possible regimes of the dynamics, especially near alpha=2 and alpha=1. We study different spatiotemporal patterns of the dynamics depending on alpha and show transitions from synchronization of the motion to broad-spectrum oscillations and to chaos. (c) 2007 American Institute of Physics.

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