混沌地图网络中的奇梅拉共振
Elena Rybalova1, Vasilii Nechaev1, Eckehard Schöll2,3,4
1Institute of Physics, Saratov State University, 83 Astrakhanskaya Street, Saratov 410012, Russia.
Chaos (Woodbury, N.Y.)
|September 25, 2023
概括
附加的高斯噪声可以在混乱的地图网络中建设性地增强嵌合体状态. 这种"奇梅拉共振"现象扩大了观察这些复杂状态的合范围.
科学领域:
- 非线性动力学是一种非线性动力学.
- 复杂的网络是一个复杂的网络.
- 混沌理论是一个混乱理论.
背景情况:
- 奇梅拉状态,即同步和非同步行为的混合,在合振荡器网络中观察到.
- 了解噪声对这些状态的影响对于网络动态至关重要.
- 之前的研究主要集中在噪音的破坏性影响上.
研究的目的:
- 在非局部合的混沌地图的环网络中,数值地研究添加高斯噪声对时空动态的影响.
- 为了确定噪音是否可以在金梅拉状态的出现和稳定中发挥建设性作用.
- 识别条件和参数,有利于在噪音条件下观察嵌合体状态.
主要方法:
- 使用物流,Ricker和Henon地图进行局部节点动态的环状网络的数值模拟.
- 连接强度和添加高斯噪声强度的系统变化.
- 在参数空间中构建2D概率分布,用于在参数空间中观测奇默状态.
主要成果:
- 附加的高斯噪声可以显著影响喜梅拉状态的概率和参数范围.
- 确定了最佳噪音水平,最大限度地提高了合强度范围,以观测嵌合体.
- 这种最佳噪音水平导致在各种初始条件和噪音实现中高概率的奇幻状态.
结论:
- 噪音可以在构成幻象状态方面发挥建设性的作用,这种现象被称为"幻象共振".
- 这种建设性的作用类似于随机和连贯共振,突出噪声的潜在好处.
- 这些发现扩大了对复杂动态系统中幽默状态和噪声诱导现象的理解.
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