Controlling the standard map

被引:9
作者
Liu, ZH
Chen, SG
机构
[1] CHINESE ACAD ENGN PHYS,GRAD SCH,BEIJING 100088,PEOPLES R CHINA
[2] GUANGXI UNIV,DEPT PHYS,NANNING 530004,PEOPLES R CHINA
[3] INST APPL PHYS & COMPUTAT MATH,BEIJING 100088,PEOPLES R CHINA
关键词
D O I
10.1016/S0375-9601(97)00343-5
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this work a recently introduced chaos suppression method [M.A. Matias and J. Guemez, Phys. Rev. Lett. 72 (1994) 1455] through proportional perturbations in the system variables is extended to conservative maps. Four kinds of periodic pulses added are discussed. The performance of the method is shown by application to the two-dimensional standard map. The periodic windows controlled by periodic pulses are stable in the presence of weak external noise. (C) 1997 Elsevier Science B.V.
引用
收藏
页码:55 / 62
页数:8
相关论文
共 18 条
[1]  
[Anonymous], 1986, NUMERICAL RECIPES C
[2]   TAMING CHAOTIC DYNAMICS WITH WEAK PERIODIC PERTURBATIONS [J].
BRAIMAN, Y ;
GOLDHIRSCH, I .
PHYSICAL REVIEW LETTERS, 1991, 66 (20) :2545-2548
[3]   SUPPRESSION OF CHAOS THROUGH CHANGES IN THE SYSTEM VARIABLES - TRANSIENT CHAOS AND CRISES [J].
GUEMEZ, J ;
GUTIERREZ, JM ;
IGLESIAS, A ;
MATIAS, MA .
PHYSICA D, 1994, 79 (2-4) :164-173
[4]   STABILIZATION OF PERIODIC AND QUASI-PERIODIC MOTION IN CHAOTIC SYSTEMS THROUGH CHANGES IN THE SYSTEM VARIABLES [J].
GUEMEZ, J ;
GUTIERREZ, JM ;
IGLESIAS, A ;
MATIAS, MA .
PHYSICS LETTERS A, 1994, 190 (5-6) :429-433
[5]   CONTROL OF CHAOS IN UNIDIMENSIONAL MAPS [J].
GUEMEZ, J ;
MATIAS, MA .
PHYSICS LETTERS A, 1993, 181 (01) :29-32
[6]  
GUTIERREZ JM, 1996, J BIF CHAOS, V6, P1351
[7]   STABILIZING HIGH-PERIOD ORBITS IN A CHAOTIC SYSTEM - THE DIODE RESONATOR [J].
HUNT, ER .
PHYSICAL REVIEW LETTERS, 1991, 67 (15) :1953-1955
[8]  
JACKSON EA, 1990, PHYS LETT A, V151, P478, DOI 10.1016/0375-9601(90)90465-Z
[9]  
JACKSON EA, 1991, PHYSICA D, V50, P341, DOI 10.1016/0167-2789(91)90004-S
[10]   CONTROLLING HAMILTONIAN CHAOS [J].
LAI, YC ;
DING, MZ ;
GREBOGI, C .
PHYSICAL REVIEW E, 1993, 47 (01) :86-92