Slow-fast dynamics in Josephson junctions

Abstract.We report on a nontrivial type of slow-fast dynamics in a Josephson junction model externally shunted by a resistor and an inductor. For large values of the shunt inductance the slow manifold is highly folded, and different types of dynamical behavior in the fast variable are possible in dependence on the other parameters of the junction. We discuss how particular features of the dynamics are manifested in the current-voltage characteristics of the shunted junction.

[1]  Kardar.  Josephson-junction ladders and quantum fluctuations. , 1986, Physical review. B, Condensed matter.

[2]  K. Likharev,et al.  Dynamics of Josephson Junctions and Circuits , 1986 .

[3]  Eikmans,et al.  Dynamic simulations of arrays of Josephson junctions. , 1990, Physical review. B, Condensed matter.

[4]  Lee,et al.  Dynamics of Josephson-junction ladders. , 1994, Physical review. B, Condensed matter.

[5]  M. G. Forrester,et al.  Effect of inductance in externally shunted Josephson tunnel junctions , 1995 .

[6]  A. B. Cawthorne,et al.  Complex dynamics of resistively and inductively shunted Josephson junctions , 1998 .

[7]  Syamal K. Dana,et al.  Chaotic dynamics in Josephson junction , 2001 .

[8]  Nikolai F Rulkov,et al.  Modeling of spiking-bursting neural behavior using two-dimensional map. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[9]  Complex phase dynamics in coupled bursters. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.