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nlin.CD2018
Describing dynamics of driven multistable oscillators with phase transfer curves
Evgeny Grines, Grigory Osipov, Arkady Pikovsky
Phase response curve is an important tool in studies of stable self-sustained oscillations; it describes a phase shift under action of an external perturbation. We consider multist…
nlin.CD2018
Heteroclinic and homoclinic structures in the system of four identical globally coupled phase oscillators with nonpairwise interactions of phases
Evgeny A. Grines, Grigory V. Osipov
Systems of identical globally coupled phase oscillators can demonstrate a multitude of complex behaviours. Such systems can have chaotic dynamics for when a coupling func…
nlin.CD2017★ 5 cited
Discrete Shilnikov attractor and chaotic dynamics in the system of five identical globally coupled phase oscillators with biharmonic coupling
Evgeny A. Grines, Alexei O. Kazakov, Igor R. Sataev
We argue that a discrete Shilnikov attractor exists in the system of five identical globally coupled phase oscillators with biharmonic coupling. We explain the scenario that leads…