Quasi-Periodicity Route to Chaos in Josephson Transmission Line

Toshihide TSUBATA; Hiroaki KAWABATA; Yoshiaki SHIRAO; Masaya HIRATA; Toshikuni NAGAHARA; Yoshio INAGAKI

Quasi-Periodicity Route to Chaos in Josephson Transmission Line

Toshihide TSUBATA, Hiroaki KAWABATA, Yoshiaki SHIRAO, Masaya HIRATA, Toshikuni NAGAHARA, Yoshio INAGAKI

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This letter discusses a behavior of solitons in a Josephson junction transmission line which is described by a perturbed sine-Gordon equation. It is shown that a soliton wave leads a quasi-periodic break down route to chaos in a Josephson transmission line. This route show phase locking, quasi-periodic state, chaos and hyper chaos, and these phenomena are examined by using Poincar sections, circle map, rotation number, and so on.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E76-A No.9 pp.1548-1554

Publication Date: 1993/09/25

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Type of Manuscript: LETTER

Category: Nonlinear Phenomena and Analysis

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Toshihide TSUBATA, Hiroaki KAWABATA, Yoshiaki SHIRAO, Masaya HIRATA, Toshikuni NAGAHARA, Yoshio INAGAKI, "Quasi-Periodicity Route to Chaos in Josephson Transmission Line" in IEICE TRANSACTIONS on Fundamentals, vol. E76-A, no. 9, pp. 1548-1554, September 1993, doi: .
Abstract: This letter discusses a behavior of solitons in a Josephson junction transmission line which is described by a perturbed sine-Gordon equation. It is shown that a soliton wave leads a quasi-periodic break down route to chaos in a Josephson transmission line. This route show phase locking, quasi-periodic state, chaos and hyper chaos, and these phenomena are examined by using Poincar sections, circle map, rotation number, and so on.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e76-a_9_1548/_p

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@ARTICLE{e76-a_9_1548,
author={Toshihide TSUBATA, Hiroaki KAWABATA, Yoshiaki SHIRAO, Masaya HIRATA, Toshikuni NAGAHARA, Yoshio INAGAKI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Quasi-Periodicity Route to Chaos in Josephson Transmission Line},
year={1993},
volume={E76-A},
number={9},
pages={1548-1554},
abstract={This letter discusses a behavior of solitons in a Josephson junction transmission line which is described by a perturbed sine-Gordon equation. It is shown that a soliton wave leads a quasi-periodic break down route to chaos in a Josephson transmission line. This route show phase locking, quasi-periodic state, chaos and hyper chaos, and these phenomena are examined by using Poincar sections, circle map, rotation number, and so on.},
keywords={},
doi={},
ISSN={},
month={September},}

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TY - JOUR
TI - Quasi-Periodicity Route to Chaos in Josephson Transmission Line
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1548
EP - 1554
AU - Toshihide TSUBATA
AU - Hiroaki KAWABATA
AU - Yoshiaki SHIRAO
AU - Masaya HIRATA
AU - Toshikuni NAGAHARA
AU - Yoshio INAGAKI
PY - 1993
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E76-A
IS - 9
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - September 1993
AB - This letter discusses a behavior of solitons in a Josephson junction transmission line which is described by a perturbed sine-Gordon equation. It is shown that a soliton wave leads a quasi-periodic break down route to chaos in a Josephson transmission line. This route show phase locking, quasi-periodic state, chaos and hyper chaos, and these phenomena are examined by using Poincar sections, circle map, rotation number, and so on.
ER -