THE DYNAMICS OF COUPLED CURRENT-BIASED JOSEPHSON JUNCTIONS — PART II

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Abstract
A numerical analysis of the dynamics of two coupled current-biased Josephson junctions is presented. The mathematical model of two coupled nonlinear ordinary differential equations can also be interpreted in terms of coupled rotating pendula. We describe the solution manifolds of these equations, particularly the manifolds of rotations of phase gain 4π per period. A variety of homoclinic orbits and heteroclinic cycles is shown to exist when the coupling strength is small. We also discuss the relation between the solution structure of the damped system and the solution structure of the undamped system.

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