论文标题
耦合双式范德旋转振荡器的模态同步
Modal synchronization of coupled bistable Van der Pol oscillators
论文作者
论文摘要
该论文重新审视最近揭示了耦合双稳定的范德波尔振荡器系统中“非惯例同步”的制度。这些机制的特征在于耦合振荡器之间的周期性（或准二体）几乎完整的能量交换。在本文中证明，这种响应对应于系统的对称和反对称模式之间的调制幅度的同步，并具有持久的相位漂移。该观察结果大大简化了处理，将动力学降低到简单的相缸，并允许揭示系统中极限周期和托里的一系列全球和局部分叉。除其他发现外，一个人遇到了非组织不对称同步的意外状态。
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.
