Global Bifurcation Destroying The Experimental Torus T2

TL;DR

This paper experimentally demonstrates the breakdown of a two-frequency torus through a global bifurcation involving collision with an unstable periodic orbit, leading to heteroclinic connections and intermittent dynamics.

Contribution

It provides the first experimental evidence of a global bifurcation causing torus destruction via heteroclinic connections in a dynamical system.

Findings

Observation of torus collision with an unstable periodic orbit

Formation of heteroclinic saddle connection

Emergence of intermittent behavior after bifurcation

Abstract

We show experimentally the scenario of a two-frequency torus $T^2$ breakdown, in which a global bifurcation occurs due to the collision of a torus with an unstable periodic orbit, creating a heteroclinic saddle connection, followed by an intermittent behavior.