A three-parametrical family of ODEs on a torus arises from a model of
Josephson effect in a resistive case when a Josephson junction is biased by a
sinusoidal microwave current. We study asymptotics of Arnold tongues of this
family on the parametric plane (the third parameter is fixed) and prove that
the boundaries of the tongues are asymptotically close to Bessel functions.Comment: 21 pages, 1 figur

Klimenko, A.