Taming chaos in a driven Josephson junction

被引:25
作者
Chacón, R
Palmero, F
Balibrea, F
机构
[1] Univ Extremadura, Dpto Elect & Ingn Electromecan, E-06071 Badajoz, Spain
[2] Univ Sevilla, Dpto Fis Aplicada, Seville, Spain
[3] Univ Murcia, Dpto Matemat, E-30100 Murcia, Spain
来源
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2001年 / 11卷 / 07期
关键词
D O I
10.1142/S0218127401003073
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We present analytical and numerical results concerning the inhibition of chaos in a single driven Josephson junction by means of an additional weak resonant perturbation. From Melnikov analysis, we theoretically find parameter-space regions, associated with the chaos-suppressing perturbation, where chaotic states can be suppressed. In particular, we test analytical expressions for the intervals of initial phase difference between the two excitations for which chaotic dynamics can be eliminated. All the theoretical predictions are in overall good agreement with numerical results obtained by simulation.
引用
收藏
页码:1897 / 1909
页数:13
相关论文
共 20 条
[1]  
[Anonymous], 1982, PHYSICS APPL JOSEPHS
[2]   CONTROLLING CHAOS IN SPIN-WAVE INSTABILITIES [J].
AZEVEDO, A ;
REZENDE, SM .
PHYSICAL REVIEW LETTERS, 1991, 66 (10) :1342-1345
[3]   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
[4]   TAMING CHAOTIC DYNAMICS WITH WEAK PERIODIC PERTURBATIONS [J].
BRAIMAN, Y ;
GOLDHIRSCH, I .
PHYSICAL REVIEW LETTERS, 1991, 66 (20) :2545-2548
[5]   SUPPRESSION OF CHAOS BY SELECTIVE RESONANT PARAMETRIC PERTURBATIONS [J].
CHACON, R .
PHYSICAL REVIEW E, 1995, 51 (01) :761-764
[6]   Inhibition of chaotic escape from a potential well using small parametric modulations [J].
Chacon, R ;
Balibrea, F ;
Lopez, MA .
JOURNAL OF MATHEMATICAL PHYSICS, 1996, 37 (11) :5518-5523
[7]   NATURAL SYMMETRIES AND REGULARIZATION BY MEANS OF WEAK PARAMETRIC MODULATIONS IN THE FORCED PENDULUM [J].
CHACON, R .
PHYSICAL REVIEW E, 1995, 52 (03) :2330-2337
[8]   General results on chaos suppression for biharmonically driven dissipative systems [J].
Chacón, R .
PHYSICS LETTERS A, 1999, 257 (5-6) :293-300
[9]   MODIFYING THE ONSET OF HOMOCLINIC CHAOS - APPLICATION TO A BISTABLE POTENTIAL [J].
CICOGNA, G ;
FRONZONI, L .
PHYSICAL REVIEW E, 1993, 47 (06) :4585-4588
[10]   Control of chaos in multimode solid state lasers by the use of small periodic perturbations [J].
Colet, P ;
Braiman, Y .
PHYSICAL REVIEW E, 1996, 53 (01) :200-206