Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstraße 36, 10623 Berlin, Germany.
Weierstrass Institute, Mohrenstraße 39, 10117 Berlin, Germany.
Phys Rev E. 2018 Jan;97(1-1):012216. doi: 10.1103/PhysRevE.97.012216.
Chimera states are complex spatio-temporal patterns which consist of coexisting domains of spatially coherent and incoherent dynamics in systems of coupled oscillators. In small networks, chimera states usually exhibit short lifetimes and erratic drifting of the spatial position of the incoherent domain. A tweezer feedback control scheme can stabilize and fix the position of chimera states. We analyze the action of the tweezer control in small nonlocally coupled networks of Van der Pol and FitzHugh-Nagumo oscillators, and determine the ranges of optimal control parameters. We demonstrate that the tweezer control scheme allows for stabilization of chimera states with different shapes, and can be used as an instrument for controlling the coherent domains size, as well as the maximum average frequency difference of the oscillators.
嵌合体状态是复杂的时空模式，由耦合振荡器系统中存在的空间相干和非相干动力学共存域组成。在小网络中，嵌合体状态通常表现出短的寿命和非相干域空间位置的不稳定漂移。 tweezer 反馈控制方案可以稳定和固定嵌合体状态的位置。我们分析了 tweezer 控制在范德波尔和 FitzHugh-Nagumo 振荡器的小非局部耦合网络中的作用，并确定了最佳控制参数的范围。我们证明， tweezer 控制方案允许稳定具有不同形状的嵌合体状态，并且可以用作控制相干域大小以及振荡器的最大平均频率差的工具。
