Modal synchronization of coupled bistable van der Pol oscillators

The paper revisits recently revealed regimes of the "nonconventional synchronization" in systems coupled bi-stable Van der Pol oscillators. These are characterized by periodic (or quasiperiodic) almost complete energy exchanges between In it is demonstrated that such responses correspond to synchronization modulation amplitudes symmetric and antisymmetric modes system, with persistent phase drift. This observation substantially simplifies treatment, reduces dynamics simple cylinder allows reveal a rich set global local bifurcations limit cycles tori system. Among other findings, one encounters an unexpected regime nonstationary asymmetric synchronization.