Maintenance and suppression of chaos by weak harmonic perturbations:: A unified view

被引:62
作者
Chacón, R [1 ]
机构
[1] Univ Extremadura, Escuela Ingn Ind, Dept Elect & Ingn Electromecan, E-06071 Badajoz, Spain
关键词
D O I
10.1103/PhysRevLett.86.1737
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
General results concerning maintenance or enhancement of chaos are presented for dissipative systems subjected to two harmonic perturbations (one chaos inducing and the other chaos enhancing). The connection with previous results on chaos suppression is also discussed in a general setting. It is demonstrated that, in general, a second harmonic perturbation can reliably play an enhancer or inhibitor role by solely adjusting its initial phase. Numerical results indicate that general theoretical findings concerning periodic chaos-inducing perturbations also work for aperiodic chaos-inducing perturbations, and in arrays of identical chaotic coupled oscillators.
引用
收藏
页码:1737 / 1740
页数:4
相关论文
共 23 条
[1]  
ALEIXEEV VV, 1987, SOV PHYS DOKL, V32, P270
[2]   Information processing using dynamical chaos: Neural networks implementation [J].
Andreyev, YV ;
Belsky, YL ;
Dmitriev, AS ;
Kuminov, DA .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 1996, 7 (02) :290-299
[3]   TAMING CHAOTIC DYNAMICS WITH WEAK PERIODIC PERTURBATIONS [J].
BRAIMAN, Y ;
GOLDHIRSCH, I .
PHYSICAL REVIEW LETTERS, 1991, 66 (20) :2545-2548
[4]   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
[5]   General results on chaos suppression for biharmonically driven dissipative systems [J].
Chacón, R .
PHYSICS LETTERS A, 1999, 257 (5-6) :293-300
[6]   CONTROLLING CARDIAC CHAOS [J].
GARFINKEL, A ;
SPANO, ML ;
DITTO, WL ;
WEISS, JN .
SCIENCE, 1992, 257 (5074) :1230-1235
[7]   Resonance phenomena of a solitonlike extended object in a bistable potential [J].
Gonzalez, JA ;
Mello, BA ;
Reyes, LI ;
Guerrero, LE .
PHYSICAL REVIEW LETTERS, 1998, 80 (07) :1361-1364
[8]   EXPERIMENTAL MAINTENANCE OF CHAOS [J].
IN, V ;
MAHAN, SE ;
DITTO, WL ;
SPANO, ML .
PHYSICAL REVIEW LETTERS, 1995, 74 (22) :4420-4423
[9]  
JENSEN RV, 1998, PHYS REV E, V58, P6907
[10]   FRACTAL BASIN BOUNDARIES [J].
MCDONALD, SW ;
GREBOGI, C ;
OTT, E ;
YORKE, JA .
PHYSICA D, 1985, 17 (02) :125-153