|
SEMINARS |
Seminar on analytic theory of differential equations
|
|||
|
Arnold tongues in the model of the Josephson effect and holomorphic solutions of the Heun equation A. A. Glutsyuk |
|||
Abstract: We consider a family of dynamical systems on the torus modeling the Josephson effect in superconductivity. The Arnold tongue of level In the talk we give a survey of open problems and results concerning the geometry of phase-lock areas obtained by complex methods. In particular, we are interested in the description of coordinates of adjencies (a recent short proof of the Buchstaber–Tertychniy conjecture on a partial description of ordinates of adjencies was obtained in our joint paper with Buchstaber and uses ideas of the hyperbolic theory of dynamical systems). |