蜂群的振幅响应

Samali Ghosh, Suvam Pal, Gourab Kumar Sar, Dibakar Ghosh
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引用次数: 0

摘要

蜂群(Swarmalators)是在空间和时间上同步成群的实体,有可能被认为复制了许多现实世界系统的复杂动力学。迄今为止,蜂群的内部动力学一直被视为相位振荡器,其灵感来自仓本模型。在这里,我们首次利用能够表现出周期性和混沌行为的振幅振荡器来研究内部动力学。为了将空间动力学和内部动力学之间的双重相互作用结合起来,我们提出了一个保持蜂群振荡器特性不变的通用模型。这种适应性要求我们在本文中进行详细研究。虽然周期振荡器模仿了之前相位振荡器模型中的大部分模式,但混沌振荡器带来了一些新的迷人状态。
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Amplitude responses of swarmalators
Swarmalators are entities that swarm through space and sync in time and are potentially considered to replicate the complex dynamics of many real-world systems. So far, the internal dynamics of swarmalators have been taken as a phase oscillator inspired by the Kuramoto model. Here, for the first time, we examine the internal dynamics utilizing an amplitude oscillator capable of exhibiting periodic and chaotic behaviors. To incorporate the dual interplay between spatial and internal dynamics, we propose a general model that keeps the properties of swarmalators intact. This adaptation calls for a detailed study which we present in this paper. We establish our study with the Rossler oscillator by taking parameters from both the chaotic and periodic regions. While the periodic oscillator mimics most of the patterns in the previous phase oscillator model, the chaotic oscillator brings some new fascinating states.
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