AI 中文总结
该研究表明纯三阶相互作用可产生奇美拉态，构建双峰Ott--Antonsen约化模型推导了其解析条件，为研究多体相互作用下的对称性破缺集体动力学提供了易处理框架。
AI 中文摘要
奇美拉态的特征是相同振子中同步与非同步动力学共存，这类系统通常被研究成对相互作用的情况。目前尚不清楚仅高阶相互作用能否产生这种对称性破缺的集体态。本文表明，奇美拉态可仅由三阶相互作用产生；利用三阶耦合的内在π对称性可得到双峰相位分布。我们构建了一个双峰Ott--Antonsen约化模型，该模型通过对称性破缺的初始条件引入不对称参数，从而对宏观动力学实现精确的低维描述，这使我们能推导奇美拉态出现的解析条件，并识别出向呼吸奇美拉 regime的分岔，该 regime 以持续振荡为特征。此外，约化动力学可表示为Riccati型方程，为奇美拉态提供了复平面上闭合周期轨道的几何解释。我们的结果确立了纯三阶耦合是奇美拉形成的最小机制，并为研究多体相互作用主导系统中的对称性破缺集体动力学提供了易处理的框架。
英文摘要
Chimera states, characterized by the coexistence of synchronized and desynchronized dynamics in identical oscillators, are typically studied in systems with pairwise interactions. Whether higher-order interactions alone can generate such symmetry-broken collective states remains unclear. Here, we show that chimera states can arise solely from triadic interactions. Furthermore, exploiting the intrinsic $π$-symmetry of the triadic coupling leads to bimodal phase distributions. We construct a bimodal Ott--Antonsen reduction that incorporates an asymmetry parameter via symmetry-breaking initial conditions, thereby achieving an exact low-dimensional description of the macroscopic dynamics. This allows us to derive an analytic condition for the emergence of chimera states and identify a bifurcation to a breathing chimera regime characterized by persistent oscillations. Furthermore, the reduced dynamics can be expressed as a Riccati-type equation, providing a geometric interpretation of the chimera state as a closed periodic orbit in the complex plane. Our results establish purely triadic coupling as a minimal mechanism for chimera formation and provide a tractable framework for studying symmetry-broken collective dynamics in systems dominated by many-body interactions.
Comments17 pages, 5 figures, and 1 ancillary video (main text: 10 pages, 3 figures; Supplemental Material: 7 pages, 2 figures). Submitted to Chaos, Solitons & Fractals
