四耦合振子系统的异宿棘轮
Heteroclinic Ratchets in a System of Four Coupled Oscillators
摘要：
我们研究了一个不寻常的，但强大的现象，出现在一个例子系统的四个耦合相位振荡器。我们表明，该系统可以有一个强大的吸引子，响应于特定的失谐之间的某些对振荡器的相位锁定的任意正失谐，但不为负失谐打破。由于这背后的动力学机制是一种特殊类型的异宿网络，我们称之为“异宿棘轮”，因为它的动力学类似于机械棘轮。
英文摘要：
We study an unusual but robust phenomenon that appears in an example system of four coupled phase oscillators. We show that the system can have a robust attractor that responds to a specific detuning between certain pairs of the oscillators by a breaking of phase locking for arbitrary positive detunings but not for negative detunings. As the dynamical mechanism behind this is a particular type of heteroclinic network, we call this a 'heteroclinic ratchet' because of its dynamical resemblance to a mechanical ratchet.
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