We analyze the collective behavior of a mean-field model of phase-oscillators of Kuramoto–Daido type coupled through pairwise interactions which depend on phase differences: the coupling function is composed of three harmonics. We provide convincing evidence of a transient but long-lasting chaotic collective chaos, which persists in the thermodynamic limit. The regime is analyzed with the help of clever direct numerical simulations, by determining the maximum Lyapunov exponent and assessing the transversal stability to the self-consistent mean field. The structure of the invariant measure is finally described in terms of a resolution-dependent entropy.

中文翻译：

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仓本大同系统中的不规则集体动力学

我们分析了通过相互依赖于相位差的成对相互作用耦合的Kuramoto–Daido型相位振荡器的平均场模型的集体行为：耦合函数由三个谐波组成。我们提供了令人信服的瞬态但持久的混沌集体混乱的证据，这种混乱一直持续在热力学极限内。通过确定最大李雅普诺夫指数并评估自洽平均场的横向稳定性，借助巧妙的直接数值模拟来分析该状态。最后，根据分辨率相关的熵描述不变度量的结构。