Chaotic dynamics of a parametrically modulated Josephson junction with quadratic damping

被引：10

作者：

Li, F. ^{[1
]}

Zhou, B. J. ^{[1
]}

Shu, W. X. ^{[2
]}

Luo, H. L. ^{[2
]}

Huang, Z. Y. ^{[1
]}

Tian, L. ^{[1
]}

机构：

[1] Hunan Univ Sci & Technol, Dept Phys, Xiangtan 411201, Peoples R China

[2] Hunan Univ, Sch Comp & Commun, Changsha 410082, Hunan, Peoples R China

来源：

EUROPEAN PHYSICAL JOURNAL D | 2008年 / 50卷 / 01期

关键词：

D O I：

10.1140/epjd/e2008-00201-5

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We study the chaotic dynamics of a parametrically modulated Josephson junction with quadratic damping. The Melnikov chaotic criteria are presented. When the perturbation conditions cannot be satisfied, numerical simulations demonstrate that the system can step into chaos via a quasi-periodic route with the increasing of the dc component of the modulation. However, it is numerically demonstrated that adding a feedback to the system can effectively suppress the chaos.

引用

页码：75 / 80

页数：6

共 32 条

[1] PREDICTION OF CHAOS IN A JOSEPHSON JUNCTION BY THE MELNIKOV-FUNCTION TECHNIQUE [J].

BARTUCCELLI, M ;

CHRISTIANSEN, PL ;

PEDERSEN, NF ;

SOERENSEN, MP .

PHYSICAL REVIEW B, 1986, 33 (07) :4686-4691

[2] SHUNTED-JOSEPHSON-JUNCTION MODEL .1. AUTONOMOUS CASE [J].

BELYKH, VN ;

PEDERSEN, NF ;

SOERENSEN, OH .

PHYSICAL REVIEW B, 1977, 16 (11) :4853-4859

[3] Coding, channel capacity, and noise resistance in communicating with chaos [J].

Bollt, E ;

Lai, YC ;

Grebogi, C .

PHYSICAL REVIEW LETTERS, 1997, 79 (19) :3787-3790

[4] THE ONSET OF CHAOS, A SOLUBLE MODEL, AND THE JOSEPHSON-JUNCTION EQUATION [J].

CICOGNA, G .

PHYSICS LETTERS A, 1988, 131 (02) :98-100

[5] EFFECTS OF PARAMETRIC PERTURBATIONS ON THE ONSET OF CHAOS IN THE JOSEPHSON-JUNCTION MODEL - THEORY AND ANALOG EXPERIMENTS [J].

CICOGNA, G ;

FRONZONI, L .

PHYSICAL REVIEW A, 1990, 42 (04) :1901-1906

[6] A THEORETICAL PREDICTION OF THE THRESHOLD FOR CHAOS IN A JOSEPHSON JUNCTION [J].

CICOGNA, G .

PHYSICS LETTERS A, 1987, 121 (8-9) :403-406

[7] ON BIFURCATIONS AND TRANSITION TO CHAOS IN A JOSEPHSON JUNCTION [J].

CIRILLO, M ;

PEDERSEN, NF .

PHYSICS LETTERS A, 1982, 90 (03) :150-152

[8] Chaotic Josephson effects in two-coupled Bose-Einstein condensates [J].

Fang, JS ;

Hai, WH ;

Chong, GS ;

Xie, QT .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2005, 349 (1-2) :133-142

[9] Spatiotemporal communication with synchronized optical chaos [J].

García-Ojalvo, J ;

Roy, R .

PHYSICAL REVIEW LETTERS, 2001, 86 (22) :5204-5207

[10] EFFECT OF A PERIODIC PERTURBATION ON RADIO-FREQUENCY MODEL OF JOSEPHSON JUNCTION [J].

GENCHEV, ZD ;

IVANOV, ZG ;

TODOROV, BN .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1983, 30 (09) :633-636

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