Bifurcations and chaos in a coupled superconducting-quantum-interference-device ring–resonator system

Abstract

In this paper we consider from a theoretical viewpoint the dynamical behavior of a superconducting-quantum-interference-device ring (a single Josephson weak link enclosed by a thick superconducting ring) in its ground state when coupled inductively to a radio frequency (rf) tank circuit resonator. We show that this simple system, when strongly driven at rf, displays a rich nonlinear dynamical structure, including unusual fold bifurcations and chaos.