Complex dynamical behavior in RCL-shunted Josephson junctions

We present numerical simulation results on the dynamical behavior of resistively, capacitively and inductively shunted Josephson tunnel junctions (RCLSJ). We found Josephson oscillations, chaotic oscillations, subharmonic oscillations and relaxation oscillations dominate the dynamics of the circuit in this order as we increase the inductance of the shunt. Long apparently chaotic transient states were found in the intermediate range values of the shunt inductance. Difficulties in comparing simulation with experiments due to the existence of the long transients are discussed.<
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