Numerical Exploration of a Network of Nonlocally Coupled Josephson Junction Spurred by Wien Bridge Oscillators

Abstract

This paper is devoted to the numerical investigation of the collective dynamics of nonlocally coupled Josephson junctions (JJ) spurred by Wien bridge oscillators (JJSWBOs). A single JJSWBO displays monostable and bistable chaotic characteristics, bistable period-3-oscillations and coexistence between regular and chaotic characteristics. In order to investigate the collective dynamics of the considered network, the local dynamics is set in the bistable regime which includes periodic and chaotic dynamics. The initial conditions for the network dynamics are specially prepared such that the networks units are randomly distributed on these two types of dynamical behaviors. As the value of the coupling strength increases, the dynamics of the network of JJSWBOs undergoes a transition from complete incoherence to coherent travelling waves via a chimera state.