STABILITY OF BREATHERS IN THE AC-DRIVEN SINE-GORDON SYSTEM

被引:12
作者
GRONBECHJENSEN, N
MALOMED, BA
SAMUELSEN, MR
机构
[1] TECH UNIV DENMARK,PHYS LAB 1,DK-2800 LYNGBY,DENMARK
[2] PP SHIRSHOV OCEANOL INST,MOSCOW 117259,USSR
关键词
D O I
10.1016/0375-9601(92)90720-7
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study the stability of breathers in the damped sine-Gordon system driven by an external ac force in the case when the amplitude of the driving field is spatially inhomogeneous. Physical applications are e.g. an ac-driven long Josephson junction and ac-driven magnetic solitons. We consider analytically the conditions for the stability of the driven breather against phase and position disturbances. The results are illustrated by numerical simulations.
引用
收藏
页码:347 / 351
页数:5
相关论文
共 14 条
[1]   SINE-GORDON SOLITONS - PARTICLES OBEYING RELATIVISTIC DYNAMICS [J].
BERGMAN, DJ ;
BENJACOB, E ;
IMRY, Y ;
MAKI, K .
PHYSICAL REVIEW A, 1983, 27 (06) :3345-3348
[2]   INFLUENCE OF SOLITONS IN THE INITIAL STATE ON CHAOS IN THE DRIVEN DAMPED SINE-GORDON SYSTEM [J].
BISHOP, AR ;
FESSER, K ;
LOMDAHL, PS ;
TRULLINGER, SE .
PHYSICA D, 1983, 7 (1-3) :259-279
[3]  
CHISTIANSEN PL, 1982, WAVE MOTION, V4, P163
[4]   ZERO-VOLTAGE STATES IN AC-DRIVEN LONG JOSEPHSON-JUNCTIONS [J].
GRONBECHJENSEN, N .
PHYSICAL REVIEW B, 1992, 45 (13) :7315-7320
[5]   STABILIZATION OF BREATHERS IN A PARAMETRICALLY DRIVEN SINE-GORDON SYSTEM WITH LOSS [J].
GRONBECHJENSEN, N ;
KIVSHAR, YS ;
SAMUELSEN, MR .
PHYSICAL REVIEW B, 1991, 43 (07) :5698-5701
[6]   PHASE-LOCKING OF LONG ANNULAR JOSEPHSON-JUNCTIONS COUPLED TO AN EXTERNAL RF MAGNETIC-FIELD [J].
GRONBECHJENSEN, N ;
LOMDAHL, PS ;
SAMUELSEN, MR .
PHYSICS LETTERS A, 1991, 154 (1-2) :14-18
[7]   THEORY OF NON-LINEAR OSCILLATING DIPOLAR EXCITATIONS IN ONE-DIMENSIONAL CONDENSATES [J].
KAUP, DJ ;
NEWELL, AC .
PHYSICAL REVIEW B, 1978, 18 (10) :5162-5167
[8]   DYNAMICS OF SOLITONS IN NEARLY INTEGRABLE SYSTEMS [J].
KIVSHAR, YS ;
MALOMED, BA .
REVIEWS OF MODERN PHYSICS, 1989, 61 (04) :763-915
[9]   EXACT AND NUMERICAL-SOLUTIONS TO THE PERTURBED SINE-GORDON EQUATION [J].
LEVRING, OA ;
SAMUELSEN, MR ;
OLSEN, OH .
PHYSICA D, 1984, 11 (03) :349-358
[10]   PERSISTENT BREATHER EXCITATIONS IN AN AC-DRIVEN SINE-GORDON SYSTEM WITH LOSS [J].
LOMDAHL, PS ;
SAMUELSEN, MR .
PHYSICAL REVIEW A, 1986, 34 (01) :664-667