共查询到20条相似文献,搜索用时 15 毫秒
1.
Yu. S. Ilyashenko D. A. Ryzhov D. A. Filimonov 《Functional Analysis and Its Applications》2011,45(3):192-203
In this work we study dynamical systems on the torus modeling Josephson junctions in the theory of superconductivity, and
also perturbations of these systems. We show that, in the family of equations that describe resistively shunted Josephson
junctions, phase lock occurs only for integer rotation numbers and propose a simple method for calculating the boundaries
of the corresponding Arnold tongues. This part is a simplification of known results about the quantization of rotation number
[4]. Moreover, we show that the quantization of rotation number only at integer points is a phenomenon of infinite codimension.
Namely, there is an infinite set of independent perturbations of systems that give rise to countably many nondiscretely located
phase-locking regions. 相似文献
2.
Dragan S. Djordjevi 《Journal of Computational and Applied Mathematics》2007,200(2):701-704
In this paper we find the explicit solution of the equation
A*X+X*A=B