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11. Dynamic behaviors in two-layer coupled oscillator system

Author

Wang Yi, Cen Bing-ling, Qiao Yan-feng, Xue Yu, and Wang Xue

Subjects
Physics, General Mathematics, Applied Mathematics, Two layer, General Physics and Astronomy, Statistical and Nonlinear Physics, State (functional analysis), Critical value, 01 natural sciences, Molecular physics, 010305 fluids & plasmas, k-nearest neighbors algorithm, Synchronization (alternating current), Transformation (function), 0103 physical sciences, Layer (object-oriented design), Oscillator system, 010301 acoustics
Abstract

In this paper, we present a two-layer coupled oscillator model, in which the first layer is composed of the nearest neighbor coupled identical oscillator, the second layer is composed of the global coupled identical oscillator, and there is a one-way point-to-point drive from the second layer to the first layer. In this system, the driven layer changes from unsynchronized state to synchronized state with the change of parameters. During this transformation, we found the existence of chimer state. And the dynamic behavior of the system had been studied. The critical value for the state transition had been caught.

Published
2021

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