A. Klimenko, O. Romaskevich
Published 2013-05-29, updated 2013-12-21Version 3
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.
Comments: 21 pages, 1 figure
On the adjacency quantization in the equation modelling the Josephson effect
On the widths of the Arnol'd Tongues
Boundaries of the Arnol'd tongues and the standard family
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