在六个振荡器种群的环中,异临床的嵌合体之间切换
Seungjae Lee1, Katharina Krischer1
1Physik-Department, Technische Universität München, James-Franck-Straße 1, 85748 Garching, Germany.
Chaos (Woodbury, N.Y.)
|June 5, 2023
概括
嵌合体状态,其中连贯和不连贯的振荡器共存,在合的Kuramoto-Sakaguchi网络中进行了研究. 发现了一种新的切换嵌合体动态,受人口合和频率异质性的影响.
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:
- 奇梅拉状态代表了合振荡器网络中独特的对称性破裂的动态状态,具有共存的连贯和不连贯群体.
- 这些状态在理论上是可以预测的,但在实验上,观察和维持它们是非常困难的.
研究的目的:
- 在六个相同的库拉莫托-萨卡古奇相振荡器种群的环状网络中调查奇美拉状态.
- 分析在特定的合条件和频率分布下奇默状态的出现和稳定性.
- 描述基础动态,包括异质临床周期和切换行为.
主要方法:
- 利用奥特-安东森的替代方法在热力学极限进行分析.
- 用于有限尺寸系统的瓦塔纳贝-斯特罗格茨缩减.
- 检查了观察到的嵌合体状态的动态和光谱特性.
主要成果:
- 识别了以一个不连贯的和五个同步的群体为特征的嵌合体状态,尽管线性不稳定,但从随机的初始条件中出现.
- 揭示了可观测的奇美拉动态与式奇美拉状态之间的异常临床周期有关,诱导切换动态.
- 证明小频异质性稳定异质临床切换,而大的异质性导致多样性吸引奇默状态.
结论:
- 研究的网络拓支持复杂的嵌合体状态,交换动态由异质临床循环驱动.
- 频率异质性在稳定或多样化化默拉状态方面发挥着至关重要的作用.
- 这些发现提供了对合振荡器系统中复杂的新兴行为的见解.
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