在全球结合的合规主义者和反抗主义者群体中,不对称的相互作用诱导的动态状态
M Manoranjani1, D V Senthilkumar2, V K Chandrasekar1
1SASTRA Deemed University, Centre for Nonlinear Science & Engineering, School of Electrical & Electronics Engineering, Thanjavur 613 401, Tamil Nadu, India.
Physical review. E
|February 7, 2025
概括
这项研究探讨了与符合性和反抗性相结合相振荡器. 一个不对称的参数揭示了各种各样的状态,如奇默和集群,受人口分数和合的影响.
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.
- 统计物理学的统计物理.
背景情况:
- 阶段振荡器是建模合系统的基础.
- 了解人口中新兴的集体行为是至关重要的.
- 奇梅拉状态,即同步和非同步振荡器的混合,呈现出独特的动态.
研究的目的:
- 为了研究一个不对称参数对逆振荡器的影响.
- 识别和描述新出现的集体动态状态.
- 分析构成幻象,相和频率状态的条件.
主要方法:
- 模拟全球合的阶段振荡器群体.
- 引入对逆振荡器的不对称参数.
- 使用有限维缩减 (瓦塔纳贝-斯特罗格茨) 来推导宏观进化方程.
- 将分析稳定性条件与数值模拟进行比较.
主要成果:
- 不连贯的出现,幻影,阶段集群,准周期的幻影和频率集群状态.
- 嵌合体和集群状态需要特定的符合者/反的分数和足够的不对称参数.
- 非对称参数会影响可比化的区域,并可能导致二次过渡.
- 观测到的集体相的图书化在准周期的奇默和频率集群状态中.
结论:
- 非对称参数是控制合振荡器群体中多样化的集体状态的关键.
- 分析推导与模拟结果保持一致,验证了模型.
- 这项工作提供了对合系统中异质性产生的复杂动态的洞察.
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