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高阶相互作用在双边网络中诱导了仿真状态

Rumi Kar¹, V K Chandrasekar², D V Senthilkumar¹

¹School of Physics, <a href="https://ror.org/01pe3t004">Indian Institute of Science Education and Research</a>, Thiruvananthapuram-695551, Kerala, India.

Physical review. E

|October 19, 2024

概括

在振荡器网络中,高阶合通过打破对称性来创建稳定的模拟状态. 这种现象取决于相互作用类型,并且由于异质性增加而被抑制.

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:

合相振荡器对于理解同步现象至关重要.
嵌合体态,表现出同步和非同步的行为,是网络中复杂的新兴特性.
高阶交互引入了超越对联连接的合,可能改变网络动态.

研究的目的:

为了研究结合相振荡器的双边网络中稳定的模拟状态的出现.
分析高阶合在打破同质同步状态对称性的作用.
探索相互作用类型 (吸引力/排斥力) 和异质性对仿真状态形成的影响.

主要方法:

使用连接相位振荡器的双边网络模型,没有时间延迟.
应用奥特-安东森的方法来推导宏观秩序参数的低维演化方程.
使用数值模拟和分叉分析使用xppaut来验证理论发现.
为各种网络状态推导分析稳定性条件 (不连贯,相内,相外同步).

主要成果:

证明高阶合通过打破同质同步的对称性来诱导稳定的模拟状态.
确定了对称性破坏的特定条件:有吸引力的双向和排斥的高阶相互作用,或者反之亦然.
显示,增加网络异质性会抑制不对称的模拟状态,有利于同质的对称状态.
证实了模拟结果与从衍生进化方程和分叉曲线中得出的理论预测之间的优异一致.

结论:

高阶合是产生振荡器网络中复杂的模拟状态的关键机制.
双向和高阶相互作用之间的相互作用决定了对称性破坏现象的表现.
网络异质性在控制不同集体状态的稳定性和普遍性方面发挥着重要作用.

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