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近保守系统中的极端事件与极端多重稳定性

Extreme events and extreme multistability in a nearly conservative system.

作者信息

Kumarasamy Suresh, Leo Kingston S, Srinivasan Sabarathinam, Chudzik Agnieszka, Kathamuthu Thamilmaran, Kapitaniak Tomasz

机构信息

Centre for Computational Modeling, Chennai Institute of Technology, Chennai 600069, Tamil Nadu, India.

Division of Dynamics, Lodz University of Technology, Stefanowskiego 1/15, 90-924 Lodz, Poland.

出版信息

Chaos. 2024 Jul 1;34(7). doi: 10.1063/5.0223470.

Abstract

This study investigates the emergence of extreme events in a complex variable dynamical system. In the absence of an external forcing, the model exhibits nearly Hamiltonian dynamics. When we set the system to a nearly conservative state and perturb it with external forcing, the formation of the onset of the extreme events was detected. By applying nullcline analysis and the system's vector field, we explored the underlying mechanism that leads to extreme events. Furthermore, we have conducted a thorough investigation to show the dynamic origins of extreme amplitude events and their transitions. The hardware electronic experiment is used to validate the numerical results of the onset of extreme events, and the results obtained are in good agreement with one another.

摘要

本研究调查了复杂变量动力系统中极端事件的出现情况。在没有外部强迫的情况下,该模型表现出近似哈密顿动力学。当我们将系统设置为近似保守状态并用外部强迫对其进行扰动时,检测到了极端事件起始的形成。通过应用零倾线分析和系统的向量场,我们探索了导致极端事件的潜在机制。此外,我们进行了全面的研究以展示极端振幅事件的动态起源及其转变。硬件电子实验用于验证极端事件起始的数值结果,所获得的结果彼此吻合良好。

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