耦合双稳态Van der Pol振子的模态同步
Modal synchronization of coupled bistable Van der Pol oscillators
摘要：
本文回顾了最近发现的制度的“非常规同步”耦合双稳态范德波尔振荡器系统。这些制度的特点是周期性（或准周期性）几乎完全的耦合振子之间的能量交换。在该文件中，它表明，这样的响应对应于同步的调制幅度之间的对称和反对称模式的系统，与持续的相位漂移。这一观察大大简化了治疗，减少了简单的相柱的动态，并允许揭示一组丰富的全球和本地的极限环和环面的分叉系统。在其他研究结果中，人们遇到了一个意想不到的制度的非平稳不对称同步。
英文摘要：
The paper revisits recently revealed regimes of the "nonconventional synchronization" in systems of coupled bi-stable Van der Pol oscillators. These regimes are characterized by periodic (or quasiperiodic) almost complete energy exchanges between the coupled oscillators. In the paper it is demonstrated that such responses correspond to synchronization of the modulation amplitudes between symmetric and antisymmetric modes of the system, with persistent phase drift. This observation substantially simplifies the treatment, reduces the dynamics to simple phase cylinder and allows to reveal a rich set of global and local bifurcations of limit cycles and tori in the system. Among other findings, one encounters an unexpected regime of nonstationary asymmetric synchronization.
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