Suppression of chaos by cyclic parametric excitation in two-dimensional maps

被引:6
作者
Loskutov, AY [1 ]
Rybalko, SD [1 ]
Feudel, U [1 ]
Kurths, J [1 ]
机构
[1] UNIV POTSDAM,MAX PLANCK GESELL,AG NICHTLINEARE DYNAM,D-14469 POTSDAM,GERMANY
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1996年 / 29卷 / 18期
关键词
D O I
10.1088/0305-4470/29/18/010
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study the qualitative change of the dynamics of a generalized two-dimensional quadratic map under the influence of parametric perturbations which operate in the chaotic parameter set. It is shown that such perturbations can lead to the suppression of chaos and appearance of a regular (periodic) behaviour. Numerically we can argue that the suppression of chaos due to the parametric excitation is caused by a shift of the windows of periodic behaviour in the bifurcation diagram.
引用
收藏
页码:5759 / 5771
页数:13
相关论文
共 25 条
[1]  
Alekseev V. V., 1985, Moscow University Physics Bulletin, V40, P46
[2]  
ANISHCHENKO VS, 1987, RADIOTEKH ELEKTRON+, V32, P1207
[3]  
[Anonymous], 1987, INTRO CHAOTIC DYNAMI
[4]   TAMING CHAOTIC DYNAMICS WITH WEAK PERIODIC PERTURBATIONS [J].
BRAIMAN, Y ;
GOLDHIRSCH, I .
PHYSICAL REVIEW LETTERS, 1991, 66 (20) :2545-2548
[5]   EXPERIMENTAL CONTROL OF CHAOS [J].
DITTO, WL ;
RAUSEO, SN ;
SPANO, ML .
PHYSICAL REVIEW LETTERS, 1990, 65 (26) :3211-3214
[6]   CONTROLLING CHAOS USING TIME-DELAY COORDINATES [J].
DRESSLER, U ;
NITSCHE, G .
PHYSICAL REVIEW LETTERS, 1992, 68 (01) :1-4
[7]  
Dykman G. I., 1991, Chaos, Solitons and Fractals, V1, P339, DOI 10.1016/0960-0779(91)90025-5
[8]   CANDYS/QA - A SOFTWARE SYSTEM FOR QUALITATIVE ANALYSIS OF NONLINEAR DYNAMICAL SYSTEMS [J].
Feudel, Ulrike ;
Jansen, Wolfgang .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1992, 2 (04) :773-794
[9]   EXPERIMENTAL-EVIDENCE OF SUPPRESSION OF CHAOS BY RESONANT PARAMETRIC PERTURBATIONS [J].
FRONZONI, L ;
GIOCONDO, M ;
PETTINI, M .
PHYSICAL REVIEW A, 1991, 43 (12) :6483-6487
[10]   A CLASSICAL APPROACH TO CONTROLLING THE LORENZ EQUATIONS [J].
Hartley, Tom T. ;
Mossayebi, Faramarz .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1992, 2 (04) :881-887