两个双向耦合的物理上不同的振荡器之间同步的实验观察。

Experimental observations of synchronization between two bidirectionally coupled physically dissimilar oscillators.

作者信息

Huang Ke, Sorrentino Francesco, Hossein-Zadeh Mani

机构信息

Center for High Technology Materials, The University of New Mexico, 1313 Goddard Street SE, Albuquerque, New Mexico 87106, USA.

Department of Mechanical Engineering, The University of New Mexico, Albuquerque, New Mexico 87131, USA.

出版信息

Phys Rev E. 2020 Oct;102(4-1):042215. doi: 10.1103/PhysRevE.102.042215.

DOI:10.1103/PhysRevE.102.042215

PMID:33212708

Abstract

We experimentally study the complex dynamics of two mutually coupled physically dissimilar oscillators with two different kinds of coupling mechanisms. Specifically, an optoelectronic oscillator is coupled to a Colpitts oscillator via optical power and the Colpitts oscillator is coupled back to the optoelectronic oscillator via electric voltage. We investigate and characterize phase synchronization and generalized chaos synchronization in this coupled system. Phase synchronization is observed when both oscillators are preset to oscillate periodically prior to coupling while generalized chaos synchronization is observed when both oscillators are preset to oscillate chaotically prior to coupling. In the periodical oscillation regime, we observe a linear relationship between the strengths of the two unidirectional coupling factors at which the system transitions to a synchronized state. In the chaotic regime, we observe a transition from hyperchaos to chaos associated with the onset of generalized synchronization.

摘要

我们通过实验研究了具有两种不同耦合机制的两个相互耦合的物理上不同的振荡器的复杂动力学。具体而言，一个光电振荡器通过光功率与一个考毕兹振荡器耦合，而考毕兹振荡器通过电压反向耦合到光电振荡器。我们研究并表征了这个耦合系统中的相位同步和广义混沌同步。当两个振荡器在耦合之前被预设为周期性振荡时，观察到相位同步；而当两个振荡器在耦合之前被预设为混沌振荡时，观察到广义混沌同步。在周期性振荡 regime 中，我们观察到系统转变为同步状态时两个单向耦合因子强度之间的线性关系。在混沌 regime 中，我们观察到与广义同步的开始相关的从超混沌到混沌的转变。