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结合的非线性系统的扰动-响应动态.
Georg Börner1, Malte Schröder1, Moritz Thümler1
1Chair for Network Dynamics, Institute of Theoretical Physics and Center for Advancing Electronics Dresden (cfaed), TUD Dresden University of Technology, 01062 Dresden, Germany.
Chaos (Woodbury, N.Y.)
|October 29, 2024
概括
在非线性系统中,单位间的合可以防止临界点,并创建新的响应模式. 即使是弱合也可以比强合更有效地稳定动力学.
科学领域:
- 非线性动力学是一种非线性动力学.
- 复杂系统理论 复杂系统理论
- 网络科学 网络科学
背景情况:
- 非线性系统的功能是由它们对扰动的动态反应决定的.
- 线性响应理论对弱扰动的稳定点附近的动态进行了近似估计.
- 更强大的干扰可以导致非线性反应和倾斜过渡.
研究的目的:
- 分析单位间合如何影响对非线性系统中周期性扰动的反应.
- 调查合强度和合类型对系统稳定性和响应模式的影响.
主要方法:
- 分析两个线性合单位的最小系统.
- 探索具有相同和非相同单位的系统.
- 考虑非线性合和更大的网络.
主要成果:
- 与未合系统相比,非零合扩展了与未合系统相比,非倾斜本地响应的制度.
- 有限合在防止倾斜方面可能比无限合更有效.
- 弱合可以诱导新的响应模式,表明多个临界点.
结论:
- 单位间合在周期性扰动下显著改变非线性系统动态.
- 合提供了一种机制来控制系统稳定性,并防止不必要的倾斜过渡.
- 在单位身份,合非线性和网络大小的变化中,研究结果强大.
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