Subharmonic autoresonance

被引:25
作者
Friedland, L [1 ]
机构
[1] Hebrew Univ Jerusalem, Racah Inst Phys, IL-91904 Jerusalem, Israel
来源
PHYSICAL REVIEW E | 2000年 / 61卷 / 04期
关键词
D O I
10.1103/PhysRevE.61.3732
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
Adiabatic passage through higher order resonances in a perturbatively driven dynamical system with a slow control parameter, yields persisting phase locking and a strong long time response. The phenomenon has a sharp threshold on the driving amplitude, which scales with the control parameter chirp rate A and resonance order n, as A(3/(4n)).
引用
收藏
页码:3732 / 3735
页数:4
相关论文
共 9 条
[1]  
[Anonymous], HIGH ENERGY ACCELERA
[2]   EXCITATION OF SOLITONS BY AN EXTERNAL RESONANT WAVE WITH A SLOWLY VARYING PHASE-VELOCITY [J].
ARANSON, I ;
MEERSON, B ;
TAJIMA, T .
PHYSICAL REVIEW A, 1992, 45 (10) :7500-7510
[3]   Autoresonant (nonstationary) excitation of the diocotron mode in non-neutral plasmas [J].
Fajans, J ;
Gilson, E ;
Friedland, L .
PHYSICAL REVIEW LETTERS, 1999, 82 (22) :4444-4447
[4]   Control of Kirchhoff vortices by a resonant strain [J].
Friedland, L .
PHYSICAL REVIEW E, 1999, 59 (04) :4106-4111
[5]  
FRIEDLAND L, IN PRESS PHYS PLASMA
[6]   NONLINEAR DYNAMICS OF CHIRPED PULSE EXCITATION AND DISSOCIATION OF DIATOMIC-MOLECULES [J].
LIU, WK ;
WU, BR ;
YUAN, JM .
PHYSICAL REVIEW LETTERS, 1995, 75 (07) :1292-1295
[7]   STRONG AUTORESONANCE EXCITATION OF RYDBERG ATOMS - THE RYDBERG ACCELERATOR [J].
MEERSON, B ;
FRIEDLAND, L .
PHYSICAL REVIEW A, 1990, 41 (09) :5233-5236
[8]  
SAGDEEV RZ, 1988, NONLINEAR PHYSICS PE, P117
[9]  
WHITHAM GB, 1974, LINEAR NONLINEAR WAV, P472