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Shahruz, S. M.; Krishna, L. G.

Boundedness of voltags and currents in Josephson junctions represented by the perturbed sine-Gordon equation. (English) Zbl 0982.35099

Automatica 37, No. 9, 1495-1498 (2001).
Summary: A superconducting Josephson junction represented by the perturbed sine-Gordon equation \[ \phi_{tt}(x,t)+ 2\alpha\phi_t(x,t)+ \sin(\phi(x, t))= \phi_{xx}(x, t)+\beta\phi_{xxt}(x, t)+ f(x,t), \] is considered. The boundedness of the voltage and the current of such a nonlinear junction is established by showing that an energy-like function corresponding to the junction is bounded for bounded inputs.

Cited in 2 Documents

MSC:

35Q53 KdV equations (Korteweg-de Vries equations)
82D55 Statistical mechanics of superconductors

Keywords:

Josephson junction; perturbed sine-Gordon equation; bounded voltage; bounded current; energy function
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References:

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