S. Abenda and P. Grinevich, Rational degeneration of Mcurves , totally positive Grassmannians and KP-solitons. Preprint https

V. I. Arnold, Geometrical Methods in the Theory of Ordinary Differential Equations, Fundamental Principles of Mathematical Sciences], vol.250, 1988.

A. Barone and G. Paterno, Physics and Applications of the Josephson Effect, 1982.
DOI : 10.1002/352760278X

V. M. Buchstaber, O. V. Karpov, and S. I. Tertychnyi, On properties of the differential equation describing the dynamics of an overdamped Josephson junction, Russian Mathematical Surveys, vol.59, issue.2, pp.377-378, 2004.
DOI : 10.1070/RM2004v059n02ABEH000725

V. M. Buchstaber, O. V. Karpov, and S. I. Tertychnyi, Peculiarities of dynamics of a Josephson junction shifted by a sinusoidal SHF current (in Russian) Radiotekhnika i Elektronika, pp.6-757, 2006.

V. M. Buchstaber, O. V. Karpov, and S. I. Tertychnyi, Rotation number quantization effect, Theoretical and Mathematical Physics, vol.76, issue.2, pp.211-221, 2010.
DOI : 10.1007/s11232-010-0016-4

V. M. Buchstaber, O. V. Karpov, and S. I. Tertychnyi, The system on torus modeling the dynamics of Josephson junction, Russ. Math. Surveys, pp.67-178, 2012.

V. M. Buchstaber and S. I. Tertychnyi, Explicit solution family for the equation of the resistively shunted Josephson junction model, Theoretical and Mathematical Physics, vol.55, issue.133, pp.965-986, 2013.
DOI : 10.1007/s11232-013-0085-2

V. M. Buchstaber and S. I. Tertychnyi, Holomorphic solutions of the double confluent Heun equation associated with the RSJ model of the Josephson junction, Theoretical and Mathematical Physics, vol.2007, issue.133, pp.3-329, 2015.
DOI : 10.1007/s11232-015-0267-1

V. M. Buchstaber and S. I. Tertychnyi, A remarkable sequence of Bessel matrices, Mathematical Notes, issue.5, pp.98-714, 2015.

S. Fomin and A. Zelevinsky, Double Bruhat cells and total positivity, Journal of the American Mathematical Society, vol.12, issue.02, pp.335-380, 1999.
DOI : 10.1090/S0894-0347-99-00295-7

R. L. Foote, Geometry of the Prytz planimeter, Reports on Mathematical Physics, vol.42, issue.1-2, pp.249-271, 1998.
DOI : 10.1016/S0034-4877(98)80013-X

R. L. Foote, M. Levi, and S. Tabachnikov, Tractrices, bicycle tire tracks, hatchet planimeters, and a 100-year-old conjecture, Amer. Math. Monthly, vol.103, pp.199-216, 2013.

F. R. Gantmacher, The theory of matrices, 1966.

F. R. Gantmacher and M. G. Krein, Oscillation matrices and small oscillations of mechanical systems, Russian), 1941.
DOI : 10.1090/chel/345

F. R. Gantmacher and M. G. Krein, Oscillation matrices and kernels and small oscillations of mechanical systems, Russian), 1950.

A. A. Glutsyuk, V. A. Kleptsyn, D. A. Filimonov, and I. Schurov, On the adjacency quantization in an equation modeling the Josephson effect, Funct, Analysis and Appl, vol.48, issue.4, pp.272-285, 2014.

Y. S. Ilyashenko, Lectures of the summer school " Dynamical systems, 2009.

Y. S. Ilyashenko, D. A. Filimonov, and D. A. Ryzhov, Phase-lock effect for equations modeling resistively shunted Josephson junctions and for their perturbations, Funct. Analysis and its Appl, pp.45-192, 2011.
DOI : 10.1007/s10688-011-0023-8

B. D. Josephson, Possible new effects in superconductive tunnelling, Physics Letters, vol.1, issue.7, pp.251-253, 1962.
DOI : 10.1016/0031-9163(62)91369-0

A. V. Klimenko and O. L. Romaskevich, Asymptotic properties of Arnold tongues and Josephson effect, Mosc. Math. J, vol.14, issue.2, pp.367-384, 2014.

K. K. Likharev and B. Ulrikh, Systems with Josephson junctions: Basic Theory, 1978.

I. Macdonald, Symmetric functions and Hall polynomials, Second Edition, 1995.

D. E. Mccumber, Effect of ac Impedance on dc Voltage???Current Characteristics of Superconductor Weak???Link Junctions, Journal of Applied Physics, vol.39, issue.7, pp.3113-3118, 1968.
DOI : 10.1063/1.1656743

A. Pinkus, Totally positive matrices, Cambridge Tracts in Mathematics , 181, 2010.

V. V. Schmidt, Introduction to physics of superconductors (in Russian), 2000.

S. Shapiro, A. Janus, and S. Holly, Effect of Microwaves on Josephson Currents in Superconducting Tunneling, Reviews of Modern Physics, vol.36, issue.1, pp.223-225, 1964.
DOI : 10.1103/RevModPhys.36.223

W. C. Stewart, CURRENT???VOLTAGE CHARACTERISTICS OF JOSEPHSON JUNCTIONS, Applied Physics Letters, vol.12, issue.8, pp.277-280, 1968.
DOI : 10.1063/1.1651991

K. Talaska, Combinatorial formulas for -coordinates in a totally nonnegative Grassmannian, Journal of Combinatorial Theory, Series A, vol.118, issue.1, pp.58-66, 2011.
DOI : 10.1016/j.jcta.2009.10.006
URL : https://hal.archives-ouvertes.fr/hal-01185398

G. N. Watson, A Treatise on the Theory of Bessel Functions, The Mathematical Gazette, vol.18, issue.231
DOI : 10.2307/3605513