Capturing the intricate dynamics of partially coherent patterns in coupled oscillator systems is vibrant and one of the crucial areas of nonlinear sciences. Considering higher-order Fourier modes in the coupling, we discover a novel type of clustered coherent state in phase models, where inside the coherent region oscillators are further split into q dynamically equivalent subgroups with a 2π/q phase difference between two neighboring subgroups, forming a multicoherent-phase (MUP) chimera state. Both a self-consistency analysis and the Ott-Antonsen dimension reduction techniques are used to theoretically derive these solutions, whose stability are further demonstrated by spectral analysis. The universality of MUP effects is demonstrated by generalized twisted states and higher-order spatial swarm chimera states of swarmalators which are beyond pure phase models since oscillators can move in space.

中文翻译：

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高模式耦合在非局部耦合振荡器中产生多相干相位现象。


在耦合振荡器系统中捕获部分相干模式的复杂动力学是充满活力的，也是非线性科学的关键领域之一。考虑到耦合中的高阶傅里叶模式，我们在相位模型中发现了一种新型的聚类相干态，其中在相干区域内，振荡器进一步分裂成 q 个动态等效的子群，两个相邻子群之间的相位差为 2π/q，形成多相干相位 （MUP） 嵌合体状态。自洽分析和 Ott-Antonsen 降维技术都用于理论推导这些解，其稳定性通过光谱分析进一步证明。MUP 效应的普遍性通过蜂群的广义扭曲态和高阶空间群嵌合体状态得到证明，这超出了纯相位模型，因为振荡器可以在空间中移动。