Discrete Shilnikov attractor and chaotic dynamics in the system of five identical globally coupled phase oscillators with biharmonic coupling
Chaotic Dynamics
2017-12-12 v1 Dynamical Systems
Abstract
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.
Keywords
Cite
@article{arxiv.1712.03839,
title = {Discrete Shilnikov attractor and chaotic dynamics in the system of five identical globally coupled phase oscillators with biharmonic coupling},
author = {Evgeny A. Grines and Alexei O. Kazakov and Igor R. Sataev},
journal= {arXiv preprint arXiv:1712.03839},
year = {2017}
}
Comments
7 pages, 4 figures