Amplitude death and resurgence of oscillation in networks of mobile oscillators
Amplitude death and resurgence of oscillation in networks of mobile oscillators
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DOI：
10.1209/0295-5075/118/40002
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发表时间：
2017-05
期刊：
影响因子：
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通讯作者：
S. Majhi;D. Ghosh
中科院分区：
文献类型：
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作者：
S. Majhi;D. Ghosh
在过去的二十年中，已经使用各种不同的耦合策略探索了振幅死亡现象。在大多数工作中，基本的耦合安排被认为是静态的，尽管许多现实系统在交互模式上随着时间的变化表现出显著的变化。在本文中，我们研究了三维空间有限区域中随机行走者集合中时变相互作用构成的动态网络中振幅死亡的出现。我们考虑每个步行者的振荡器，并证明依赖于网络参数和它们之间的相互作用，网络中的全局振荡被抑制。在这个框架中，每个振荡器的视觉范围决定了与之交互的振荡器的数量。此外，通过在耦合策略中使用适当的反馈参数，我们阐明了如何在系统的参数空间中恢复被抑制的振荡。在较宽的参数范围内，如实体之间的相互作用强度k、视觉范围r和运动速度v，研究了极限环和混沌振子的振幅死亡和振荡复苏现象。
The phenomenon of amplitude death has been explored using a variety of different coupling strategies in the last two decades. In most of the works, the basic coupling arrangement is considered to be static over time, although many realistic systems exhibit significant changes in the interaction pattern as time varies. In this article, we study the emergence of amplitude death in a dynamical network composed of time-varying interaction amidst a collection of random walkers in a finite region of three-dimensional space. We consider an oscillator for each walker and demonstrate that depending upon the network parameters and hence the interaction between them, the global oscillation in the network gets suppressed. In this framework, the vision range of each oscillator decides the number of oscillators with which it interacts. In addition, with the use of an appropriate feedback parameter in the coupling strategy, we articulate how the suppressed oscillation can be resurrected in the systems' parameter space. The phenomenon of amplitude death and the resurgence of oscillation is investigated taking limit cycle and chaotic oscillators for broad ranges of the parameters, like the interaction strength k between the entities, the vision range r and the speed of movement v.