Crises in a driven Josephson junction studied by cell mapping

Mads Peter Sørensen; A. Davidson; Niels Falsig Pedersen; S. Pagano

doi:10.1103/PhysRevA.38.5384

Crises in a driven Josephson junction studied by cell mapping

Mads Peter Sørensen, A. Davidson, Niels Falsig Pedersen, S. Pagano

Department of Physics

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Abstract

We use the method of cell-to-cell mapping to locate attractors, basins, and saddle nodes in the phase plane of a driven Josephson junction. The cell-mapping method is discussed in some detail, emphasizing its ability to provide a global view of the phase plane. Our computations confirm the existence of a previously reported interior crisis. In addition, we observe a boundary crisis for a small shift in one parameter. The cell-mapping method allows us to show both crises explicitly in the phase plane, at low computational cost.

Original language	English
Journal	Physical Review A
Volume	38
Issue number	10
Pages (from-to)	5384-5390
ISSN	2469-9926
DOIs	https://doi.org/10.1103/PhysRevA.38.5384
Publication status	Published - 1988

Bibliographical note

Copyright (1988) by the American Physical Society.

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title = "Crises in a driven Josephson junction studied by cell mapping",

abstract = "We use the method of cell-to-cell mapping to locate attractors, basins, and saddle nodes in the phase plane of a driven Josephson junction. The cell-mapping method is discussed in some detail, emphasizing its ability to provide a global view of the phase plane. Our computations confirm the existence of a previously reported interior crisis. In addition, we observe a boundary crisis for a small shift in one parameter. The cell-mapping method allows us to show both crises explicitly in the phase plane, at low computational cost.",

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AU - Sørensen, Mads Peter

AU - Davidson, A.

AU - Pedersen, Niels Falsig

AU - Pagano, S.

PY - 1988

Y1 - 1988

N2 - We use the method of cell-to-cell mapping to locate attractors, basins, and saddle nodes in the phase plane of a driven Josephson junction. The cell-mapping method is discussed in some detail, emphasizing its ability to provide a global view of the phase plane. Our computations confirm the existence of a previously reported interior crisis. In addition, we observe a boundary crisis for a small shift in one parameter. The cell-mapping method allows us to show both crises explicitly in the phase plane, at low computational cost.

AB - We use the method of cell-to-cell mapping to locate attractors, basins, and saddle nodes in the phase plane of a driven Josephson junction. The cell-mapping method is discussed in some detail, emphasizing its ability to provide a global view of the phase plane. Our computations confirm the existence of a previously reported interior crisis. In addition, we observe a boundary crisis for a small shift in one parameter. The cell-mapping method allows us to show both crises explicitly in the phase plane, at low computational cost.

U2 - 10.1103/PhysRevA.38.5384

DO - 10.1103/PhysRevA.38.5384

M3 - Journal article

VL - 38

SP - 5384

EP - 5390

JO - Physical Review A (Atomic, Molecular and Optical Physics)

JF - Physical Review A (Atomic, Molecular and Optical Physics)

SN - 2469-9926

IS - 10

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