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Analysis of the nonlinear Phenomena in a Superconducting Double-Loop Interferometer Circuit

We consider the nonlinear behaviour of a superconducting double-loop interferometer circuit (Double-loop SQUID). After some theoretical considerations we investigate the dynamical behaviour with Ljapunov exponents, return maps and bifurcation diagrams. An analysis of the chaotic behaviour is performed and a transition through intermittency is found in this case. It is shown that coexisting solutions of the double-loop SQUID leads to hysteretic behaviour. The influence of thermal noise on the chaotic behaviour is discussed.