Institute of Continuous Media Mechanics, UB RAS, Academician Korolev Street 1, 614013 Perm, Russia.
Department of Theoretical Physics, Perm State University, Bukirev Street 15, Perm 614990, Russia.
Phys Rev E. 2017 Dec;96(6-1):062204. doi: 10.1103/PhysRevE.96.062204. Epub 2017 Dec 11.
We study the effect of common noise on coupled active rotators. While such a noise always facilitates synchrony, coupling may be attractive (synchronizing) or repulsive (desynchronizing). We develop an analytical approach based on a transformation to approximate angle-action variables and averaging over fast rotations. For identical rotators, we describe a transition from full to partial synchrony at a critical value of repulsive coupling. For nonidentical rotators, the most nontrivial effect occurs at moderate repulsive coupling, where a juxtaposition of phase locking with frequency repulsion (anti-entrainment) is observed. We show that the frequency repulsion obeys a nontrivial power law.
我们研究了常见噪声对耦合主动转子的影响。虽然这种噪声总是有利于同步，但耦合可能是吸引的（同步）或排斥的（去同步）。我们开发了一种基于变换到近似角度-作用变量和快速旋转平均的分析方法。对于相同的转子，我们在排斥耦合的临界值处描述了从完全同步到部分同步的转变。对于不同的转子，最有趣的效应发生在中等排斥耦合时，观察到相位锁定与频率排斥（反锁相）的并置。我们表明，频率排斥服从非平凡的幂律。
