SUPERSTRUCTURE IN THE BIFURCATION SET OF THE DUFFING EQUATION X+DX+X+X3=FCOS(W)T)

被引:210
作者
PARLITZ, U
LAUTERBORN, W
机构
关键词
D O I
10.1016/0375-9601(85)90687-5
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
引用
收藏
页码:351 / 355
页数:5
相关论文
共 18 条
[1]   SELF-REPLICATING ATTRACTOR OF A DRIVEN SEMICONDUCTOR OSCILLATOR [J].
BRORSON, SD ;
DEWEY, D ;
LINSAY, PS .
PHYSICAL REVIEW A, 1983, 28 (02) :1201-1203
[2]  
Duffing G., 1918, ERZWUNGENE SCHWINGUN
[3]  
Guckenheimer J., 1984, APPL MATH SCI, V51, P947, DOI 10.1115/1.3167759
[5]   2ND ORDER AVERAGING AND BIFURCATIONS TO SUBHARMONICS IN DUFFING EQUATION [J].
HOLMES, C ;
HOLMES, P .
JOURNAL OF SOUND AND VIBRATION, 1981, 78 (02) :161-174
[6]   NON-LINEAR OSCILLATOR WITH A STRANGE ATTRACTOR [J].
HOLMES, P .
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1979, 292 (1394) :419-448
[7]   ON THE ATTRACTING SET FOR DUFFING EQUATION .2. A GEOMETRICAL MODEL FOR MODERATE FORCE AND DAMPING [J].
HOLMES, P ;
WHITLEY, D .
PHYSICA D, 1983, 7 (1-3) :111-123
[8]   BIFURCATIONS OF DUFFINGS EQUATION - APPLICATION OF CATASTROPHE THEORY [J].
HOLMES, PJ ;
RAND, DA .
JOURNAL OF SOUND AND VIBRATION, 1976, 44 (02) :237-253
[9]   CHAOTIC STATES OF ANHARMONIC SYSTEMS IN PERIODIC FIELDS [J].
HUBERMAN, BA ;
CRUTCHFIELD, JP .
PHYSICAL REVIEW LETTERS, 1979, 43 (23) :1743-1747
[10]   PERIOD DOUBLING AND CHAOTIC BEHAVIOR IN A DRIVEN TODA OSCILLATOR [J].
KLINKER, T ;
MEYERILSE, W ;
LAUTERBORN, W .
PHYSICS LETTERS A, 1984, 101 (08) :371-375