Controlling chaotic transport in a Hamiltonian model of interest to magnetized plasmas

被引:24
作者
Ciraolo, G
Chandre, C
Lima, R
Vittot, M
Pettini, M
Figarella, C
Ghendrih, P
机构
[1] Univ Florence, Fac Ingn, I-50129 Florence, Italy
[2] INFM, UdR Firenze, Florence, Italy
[3] CNRS, CPT, F-13288 Marseille 9, France
[4] Ist Nazl Astrofis, I-50125 Florence, Italy
[5] Ist Nazl Fis Nucl, Sez Firenze, Florence, Italy
[6] EURATOM, CEA, DRFC, DSM,CEA, F-13108 St Paul Les Durance, France
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2004年 / 37卷 / 11期
关键词
D O I
10.1088/0305-4470/37/11/004
中图分类号
O4 [物理学];
学科分类号
0702 [物理学];
摘要
We present a technique to control chaos in Hamiltonian systems which are close to integrable. By adding a small and simple control term to the perturbation, the system becomes more regular than the original one. We apply this technique to a model that reproduces turbulent E x B drift and show numerically that the control is able to drastically reduce chaotic transport.
引用
收藏
页码:3589 / 3597
页数:9
相关论文
共 9 条
[1]
CIRAOLO G, 2003, CONTROL CHAOTIC TRAN
[2]
CIRAOLO G, 2003, IN PRESS PHYS REV E
[4]
GALLOVOTTI G, 1985, REGULAR CHAOTIC MOTI
[5]
Methods for the analysis of the Lindstedt series for KAM tori and renormalizability in classical mechanics [J].
Gentile, G ;
Mastropietro, V .
REVIEWS IN MATHEMATICAL PHYSICS, 1996, 8 (03) :393-444
[6]
THE GUIDING CENTER APPROXIMATION TO CHARGED PARTICLE MOTION [J].
NORTHROP, TG .
ANNALS OF PHYSICS, 1961, 15 (01) :79-101
[7]
CHAOTIC DIFFUSION ACROSS A MAGNETIC-FIELD IN A MODEL OF ELECTROSTATIC TURBULENT-PLASMA [J].
PETTINI, M ;
VULPIANI, A ;
MISGUICH, JH ;
DELEENER, M ;
ORBAN, J ;
BALESCU, R .
PHYSICAL REVIEW A, 1988, 38 (01) :344-363
[8]
VITTOT M, 2003, PERTURBATION THEORY
[9]
FLUCTUATIONS AND ANOMALOUS TRANSPORT IN TOKAMAKS [J].
WOOTTON, AJ ;
CARRERAS, BA ;
MATSUMOTO, H ;
MCGUIRE, K ;
PEEBLES, WA ;
RITZ, CP ;
TERRY, PW ;
ZWEBEN, SJ .
PHYSICS OF FLUIDS B-PLASMA PHYSICS, 1990, 2 (12) :2879-2903