过渡性与网络互动相比,通过捕获机制产生多稳定性
Kalel L Rossi1, Everton S Medeiros2, Peter Ashwin3
1Theoretical Physics/Complex Systems, ICBM, Carl von Ossietzky Universität Oldenburg, Oldenburg, Lower Saxony, Germany.
Chaos (Woodbury, N.Y.)
|March 14, 2025
概括
由于子系统之间的相互作用,联网系统可以表现出多重稳定性. 这项研究揭示了合机制捕获易激动单元,导致周期性,准周期性和混乱行为等多种振荡.
科学领域:
- 复杂的系统复杂的系统.
- 非线性动力学是一种非线性动力学.
- 网络科学 网络科学
背景情况:
- 在各种网络系统中观察到多稳定性.
- 从子系统动态和网络相互作用中产生多稳定性的精确机制尚未完全理解.
研究的目的:
- 阐明合激发单元网络中的多稳定性背后的机制.
- 确定导致多个稳定状态出现的关键因素.
主要方法:
- 研究了合激发性单元的网络模型.
- 分析了单个单元动力学和扩散合之间的相互作用.
- 检查过渡动态和合在产生多稳定性的作用.
主要成果:
- 证明了扩散合将单元重新注入到它们的兴奋区域,从而创建了一个捕获机制.
- 展示了多种共存的振荡类型的出现:周期性,准周期性和混乱性.
- 观察到,即使单个单元不自主振荡,这些振荡也会产生.
结论:
- 过渡动态和合之间的相互作用对于产生可激发网络中的多稳定性至关重要.
- 一个关键的机制涉及合诱导的再注入和被困在刺激区域内.
- 这种捕捉机制通过各种分叉促进了各种振荡行为的共存,包括混乱.
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