On monodromy eigenfunctions of Heun equations and boundaries of phase-lock areas in a model of overdamped Josephson effect

Author:

Buchstaber V. M.,Glutsyuk A. A.

Publisher

Pleiades Publishing Ltd

Subject

Mathematics (miscellaneous)

Reference31 articles.

1. V. I. Arnold, Geometrical Methods in the Theory of Ordinary Differential Equations, 2nd ed. (Springer, New York, 1988), Grundl. Math. Wiss. 250.

2. V. I. Arnold and Yu. S. Ilyashenko, “Ordinary differential equations,” in Dynamical Systems–1 (VINITI, Moscow, 1985), Itogi Nauki Tekh., Ser.: Sovrem. Probl. Mat., Fundam. Napravl. 1, pp. 7–140; Engl. transl. in Dynamical Systems I (Springer, Berlin,1988), Encycl. Math. Sci. 1, pp. 1–148.

3. A. Barone and G. Paternò, Physics and Applications of the Josephson Effect (J. Wiley & Sons, New York, 1982).

4. V. M. Buchstaber and A. A. Glutsyuk, “On determinants of modified Bessel functions and entire solutions of double confluent Heun equations,” Nonlinearity 29 (12), 3857–3870 (2016).

5. V. M. Buchstaber, O. V. Karpov, and S. I. Tertychniy, “Electrodynamic properties of a Josephson junction biased with a sequence of delta-function pulses,” Zh. Eksp. Teor. Fiz. 120 (6), 1478–1485 (2001) [J. Exp. Theor. Phys. 93 (6), 1280–1287 (2001)].

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