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On transportation of constrictions on phase-lock areas of overdamped Josephson junction by means of isomonodromic deformation of the associated special double confluent Heun equation

  • S. I. Tertychniy
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Abstract

An example of computation of locations of constrictions on the phase-lock area in the parameter space for the equation modeling dynamics of overdamped Josephson junction is discussed. Several conjectures of qualitative character are inferred from the heuristic data thus obtained. The method applying isomonodromic deformations of the special double confluent Heun equation associated with the noted model is used. Such a deformation is controlled by the data provided by solution to a Third Painlevè equation for which a new representation in conjunction with the corresponding non-linear second order differential equation fairly efficient in the treatment of the problem in question is proposed.

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Cite

BibTeXRIS
BibTeX
@misc{tertychniy2026transportation,
  title = {{On transportation of constrictions on phase-lock areas of overdamped Josephson junction by means of isomonodromic deformation of the associated special double confluent Heun equation}},
  author = {S. I. Tertychniy},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.09931},
  eprint = {2611.09931},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.09931},
}
RIS
TY  - UNPB
TI  - On transportation of constrictions on phase-lock areas of overdamped Josephson junction by means of isomonodromic deformation of the associated special double confluent Heun equation
AU  - S. I. Tertychniy
PY  - 2026
DA  - 2026/11/01
PB  - arXiv
DO  - 10.48550/arxiv.2611.09931
UR  - https://arxiv.org/abs/2611.09931
AB  - An example of computation of locations of constrictions on the phase-lock area in the parameter space for the equation modeling dynamics of overdamped Josephson junction is discussed. Several conjectures of qualitative character are inferred from the heuristic data thus obtained. The method applying isomonodromic deformations of the special double confluent Heun equation associated with the noted model is used. Such a deformation is controlled by the data provided by solution to a Third Painlevè equation for which a new representation in conjunction with the corresponding non-linear second order differential equation fairly efficient in the treatment of the problem in question is proposed.
ER  -