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Recursion operation in a stability treatment: The asymptotic magnetic field distribution in a long Josephson junction

  • Physics of Elementary Particles and Field Theory
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Russian Physics Journal Aims and scope

Abstract

It is shown that a recursion operator can be used to examine the Lyapunov stability of non-integrable boundary-value problems. There is a detailed discussion of determining the asymptotic state in a long Josephson contact in an external magnetic field. This is reduced to examining the stability of the stationary solutions that satisfy certain boundary conditions and the sin-Gordon equation.

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Authors
  1. S. I. Dianin
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  2. I. V. Shirokov
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Additional information

Omsk State University. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 37–43, July, 1997.

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Dianin, S.I., Shirokov, I.V. Recursion operation in a stability treatment: The asymptotic magnetic field distribution in a long Josephson junction. Russ Phys J 40, 624–629 (1997). https://doi.org/10.1007/BF02514950

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  • DOI: https://doi.org/10.1007/BF02514950

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