Suppressing chaos in the duffing oscillator by impulsive actions

被引:27
作者
Osipov, G
Glatz, L
Troger, H
机构
[1] Vienna Tech Univ, A-1040 Vienna, Austria
[2] Nizhny Novgorod Univ, Nizhnii Novgorod 603600, Russia
基金
奥地利科学基金会;
关键词
D O I
10.1016/S0960-0779(97)00069-6
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The method of feedback impulsive suppression of chaos is introduced. Our approach is based on the similarity of return maps of some time continuous systems with one-dimensional cubic maps. The method is illustrated for the Duffing oscillator with positive linear stiffness by making use of its symmetry properties. (C) 1998 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:307 / 321
页数:15
相关论文
共 14 条
[1]   TAMING CHAOTIC DYNAMICS WITH WEAK PERIODIC PERTURBATIONS [J].
BRAIMAN, Y ;
GOLDHIRSCH, I .
PHYSICAL REVIEW LETTERS, 1991, 66 (20) :2545-2548
[2]  
CHUA LO, 1992, AEU-INT J ELECTRON C, V46, P250
[3]   CRISIS CONTROL - PREVENTING CHAOS-INDUCED CAPSIZING OF A SHIP [J].
DING, MZ ;
OTT, E ;
GREBOGI, C .
PHYSICAL REVIEW E, 1994, 50 (05) :4228-4230
[4]   REGULAR WINDOW STRUCTURE OF A DOUBLE-WELL DUFFING OSCILLATOR [J].
ENGLISCH, V ;
LAUTERBORN, W .
PHYSICAL REVIEW A, 1991, 44 (02) :916-924
[5]  
Guckenheimer J., 2013, Nonlinear Oscillations Dynamical Systems and Bifurcations of Vector Fields, DOI DOI 10.1007/978-1-4612-1140-2
[6]   FEEDBACK-CONTROL OF CHAOS IN SPATIOTEMPORAL SYSTEMS [J].
HU, G ;
QU, ZL ;
HE, KF .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1995, 5 (04) :901-936
[7]   CONTROLLING CHAOS WITHOUT FEEDBACK AND CONTROL SIGNALS [J].
Kapitaniak, T. ;
Kocarev, L. J. ;
Chua, L. O. .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1993, 3 (02) :459-468
[8]   SUPPRESSION OF CHAOS BY NONRESONANT PARAMETRIC PERTURBATIONS [J].
KIVSHAR, YS ;
RODELSPERGER, F ;
BENNER, H .
PHYSICAL REVIEW E, 1994, 49 (01) :319-324
[9]   CONTROLLING CHAOS [J].
OTT, E ;
GREBOGI, C ;
YORKE, JA .
PHYSICAL REVIEW LETTERS, 1990, 64 (11) :1196-1199
[10]   COMMON DYNAMICAL FEATURES OF PERIODICALLY DRIVEN STRICTLY DISSIPATIVE OSCILLATORS [J].
Parlitz, Ulrich .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1993, 3 (03) :703-715