Discrete Shilnikov attractor and chaotic dynamics in the system of five identical globally coupled phase oscillators with biharmonic coupling

11 Dec 2017  ·  Grines Evgeny A., Kazakov Alexei O., Sataev Igor R. ·

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 to birth of this kind of attractor and numerically illustrate the sequence of bifurcations that supports our statement.

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Chaotic Dynamics Dynamical Systems