Oscillation Death In Coupled Nonlinear Oscillator Systems

It has provided a easy and feasible mathematical way for the coupled nonlinear oscillator systems model to study the various emergent behaviors in nature. Many important collective activities emerged in the dynamics study of coupled nonlinear oscillators, such as the synchronous state, chaotic state, the oscillation death stage, and so on. In this article, we mainly focuses on one of them—the oscillation death, which is widely used in many actual systems of biological、chemical and physical in recently. It plays a positive role in our real life, therefore it is very significant for us to study the oscillation death phenomenon.In this paper, first of all, we introduce several classic oscillator models in coupled nonlinear oscillators, such as the Stuart-Landau oscillator and the Rosser oscillator, and describe the relevant background, which is easy to understand the history development, at the same time, we also provide the current research status of the oscillation death phenomenon in coupled nonlinear oscillator systems. Then we give the change law and properties of the oscillation death island under the influence of several different factors, including time-delayed coupling, single phase coupling, and asymmetric coupling. Afterwards, we explore the characteristics of oscillation death with the effect of two phase coupling. At last, we aim at revealing the essential characteristics for the change of death island in coupled nonlinear systems, so as to control the death state to achieve its real value.The end of this article is a summary about the oscillation death phenomenon in coupled nonlinear systems. Its key effect in real life also has been pointed out, which highlights the value of this research.