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2013
Impact Factor

Grigory Osipov

Publications:

Grines E. A., Osipov G. V.
Heteroclinic and Homoclinic Structures in the System of Four Identical Globally Coupled Phase Oscillators with Nonpairwise Interactions
2018, vol. 23, no. 7-8, pp.  974-982
Abstract
Systems of $N$ identical globally coupled phase oscillators can demonstrate a multitude of complex behaviors. Such systems can have chaotic dynamics for $N > 4$ when a coupling function is biharmonic. The case $N = 4$ does not possess chaotic attractors when the coupling is biharmonic, but has them when the coupling includes nonpairwise interactions of phases. Previous studies have shown that some of chaotic attractors in this system are organized by heteroclinic networks. In the present paper we discuss which heteroclinic cycles are forbidden and which are supported by this particular system. We also discuss some of the cases regarding homoclinic trajectories to saddle-foci equilibria.
Keywords: phase oscillators, heteroclinic networks
Citation: Grines E. A., Osipov G. V.,  Heteroclinic and Homoclinic Structures in the System of Four Identical Globally Coupled Phase Oscillators with Nonpairwise Interactions, Regular and Chaotic Dynamics, 2018, vol. 23, no. 7-8, pp. 974-982
DOI:10.1134/S1560354718070110

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