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

TL;DR

This paper demonstrates the existence of a discrete Shilnikov attractor in a system of five globally coupled phase oscillators with biharmonic coupling, revealing complex chaotic dynamics through bifurcation analysis.

Contribution

It introduces the first identification of a discrete Shilnikov attractor in such oscillator systems and details the bifurcation scenario leading to chaos.

Findings

Existence of a discrete Shilnikov attractor in the system.

Sequence of bifurcations leading to chaotic dynamics.

Numerical illustration of attractor formation.

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.