适应性斯图尔特-兰多振荡器中的爆炸性过渡具有更高阶相互作用
1Central University of Rajasthan, Department of Physics, Ajmer 305 817, India.
Physical review. E
|February 20, 2025
概括
不相同的斯图尔特-兰多振荡器中的自适应合可以导致爆炸性同步和过渡到死亡状态,与更简单的合方法不同. 这些发现为复杂系统动态提供了新的见解.
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:
- 非相同的斯图尔特-兰多振荡器是研究同步现象的基本模型.
- 在各种动态系统中,理解过渡到同步和死亡状态至关重要.
- 高阶相互作用和适应性合引入了复杂的行为,这些行为仅仅通过对联合才能捕捉到.
研究的目的:
- 研究适应性合和高阶相互作用对非相同的斯图尔特-兰多振荡器同步和死亡状态的影响.
- 为了比较因适应性合而产生的双向与高阶相互作用的动态.
- 探索合强度和网络结构 (全球与随机) 对这些转变的影响.
主要方法:
- 模拟非相同的斯图尔特-兰多振荡器与自适应式对向和更高阶合.
- 对过渡类型 (连续与爆炸性) 到同步和死亡状态的分析.
- 将分析扩展到随机网络拓.
主要成果:
- 全球合与更高阶相互作用导致异步振荡.
- 配对相互作用显示了持续的过渡到同步,这与适应变得爆炸性.
- 结合配对和高阶相互作用与适应,导致爆炸性同步和过渡到死亡状态.
- 在随机网络中观察到类似的动态.
结论:
- 适应性合显著改变同步动态,促进爆炸性过渡.
- 相互作用顺序 (对式与更高顺序) 和适应之间的相互作用在确定系统行为的过程中至关重要.
- 结果提供了对复杂网络同步的见解,与库拉莫托振荡器模型一致.
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