论文标题
耦合振荡器模型中同步的早期检测
Early detection of synchrony in coupled oscillator model
论文作者
论文摘要
在本文中，我们研究了预警指数的适用性，同时研究了使用非常规的系统参数和耦合强度作为所需的控制参数的转换，以完成耦合振荡器模型中的完整和广义同步。耦合振荡器模型被广泛使用，并有据可查，用于研究自然界的各个方面。但是，本文使用的预警指数是耦合振荡器的相互信息的明确函数，并在相互作用振荡器产生完整和广义同步之前达到两个不同的值。使用非常规控制参数向同步的过渡与从其初始混沌动力学的过渡到单个振荡器的周期性动力学有关。此外，当我们使用耦合强度作为对照参数时，相互作用的振荡器在同步过程中表现出混乱的动力学。我们的分析主要涉及两个低维振荡器的不同示例。最后，我们将研究扩展到相互作用的振荡器网络。在所有情况下，验证了早期检测指数的适用性。
In this paper, we study the applicability of an early warning index while studying the transitions to complete and generalized synchronizations in the coupled oscillator models using an unconventional system parameter and the coupling strength as the required control parameters. The coupled oscillator models are widely used and well-documented for studying various aspects of nature. However, the early warning index used in this paper is an explicit function of the mutual information of the coupled oscillators and reaches two different values before the interacting oscillators yield complete and generalized synchronizations. The transitions to synchrony using the unconventional control parameter are associated with a transition to periodic dynamics of the individual oscillators from their initial chaotic dynamics. Besides, when we use the coupling strength as a control parameter, the interacting oscillator exhibits chaotic dynamics during the synchronizations. Our analysis mainly involves different examples of two low-dimensional oscillators. Finally, we extend our study to a network of interacting oscillators. The applicability of the early detection index is verified in all cases.
