在共同频率调制驱动下非耦合振荡器中最小奇异态的出现：理论与实验
Emergence of minimal chimera in uncoupled oscillators under common frequency-modulated driving: Theory and experiment
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中文总结 AI 辅助
研究三个非耦合振荡器在频率调制驱动下最小奇异态的出现，通过调整调制参数实现不同状态转变，用相位约化等方法分析机制，经实验验证，为驱动非线性系统集体动力学提供新视角。
中文摘要 AI 辅助
我们报告了在仅由频率调制驱动的三个非耦合振荡器系统中最小奇异态的实验实现。与通过振荡器间相互作用产生奇异态的传统情况不同，这里相干和非相干动力学的共存完全源于系统参数的共同外部调制。通过调整调制幅度和频率，系统展现出全局同步、全局非相干和最小奇异态之间的转变。利用最大李雅普诺夫指数量化这些状态的稳定性，并用同步序参量表征相干程度。对参数空间的系统探索揭示了与不同动力学行为相关的明确区域。为提供分析理解，我们采用相位约化方法并推导相应的相位动力学，阐明锁相和去同步的机制。在延时混沌系统中进一步证明了所提机制的鲁棒性。最后，从电子电路实现获得的实验结果证实了在频率调制驱动下最小奇异态的出现。这些发现确立了外部调制作为无耦合情况下奇异态形成的可行途径，为驱动非线性系统中的集体动力学提供了新视角。
英文摘要
We report the experimental realization of minimal chimera states in a system of three uncoupled oscillators driven solely by frequency-modulated forcing. Unlike conventional scenarios where chimera states emerge due to interactions among oscillators, here the coexistence of coherent and incoherent dynamics arises entirely from a common external modulation of a system parameter. By tuning the modulation amplitude and frequency, the system exhibits transitions between global synchronization, global incoherence, and minimal chimera states. The stability of these regimes is quantified using the maximal Lyapunov exponent, while a synchronization order parameter is employed to characterize the degree of coherence. A systematic exploration of the parameter space reveals well-defined regions associated with distinct dynamical behaviors. To provide analytical understanding, we employ a phase-reduction approach and derive the corresponding phase dynamics, which elucidate the mechanisms underlying phase locking and desynchronization. The robustness of the proposed mechanism is further demonstrated in a time-delayed chaotic system. Finally, experimental results obtained from an electronic circuit realization confirm the emergence of minimal chimera states under frequency-modulated driving. These findings establish external modulation as a viable route to chimera formation without coupling, offering a new perspective on collective dynamics in driven nonlinear systems.
