Heteroclinic cycles in Chua-Yang ring networks

Abstract

Heteroclinic equilibrium connections in Chua-Yang ring networks with two-parameter nearest-neighbor coupling are investigated. The dynamics is governed by the standard piecewise linear saturated activation function. We look for heteroclinic cycles created by terminating families of Hopf periodic orbits. Our approach is based on numerical experimentation supported by rigorous a posteriori mathematical arguments.