FREQUENCY ENTRAINMENT OF A PHASE COHERENT ATTRACTOR

被引:88
作者
STONE, EF
机构
[1] Mathematics Department, Colorado State University, Fort Collins
关键词
D O I
10.1016/0375-9601(92)90841-9
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this paper the frequency entrainment of the Rossler system to a periodic pulse is discussed. It was found that a periodic orbit will entrain to weak periodic pulses with frequency near the natural frequency of oscillation, but rather more surprisingly, the phase coherent strange attractor can also be entrained, on average, to small pulses near the peak frequency in the broad band power spectra of the attractor.
引用
收藏
页码:367 / 374
页数:8
相关论文
共 15 条
[1]  
ABRAHAM R, 1991, CHAOTIC HIERARCHY
[2]  
ABRAHAM R, 1985, COMMUNICATION
[3]  
FARMER JD, 1981, PHYS REV LETT, V147, P179
[4]   RESONANT STIMULATION AND CONTROL OF NONLINEAR OSCILLATORS [J].
HUBLER, A ;
LUSCHER, E .
NATURWISSENSCHAFTEN, 1989, 76 (02) :67-69
[5]  
JACKSON EA, 1990, PHYSICA D, V44, P407, DOI 10.1016/0167-2789(90)90155-I
[6]  
JACKSON EA, 1991, PHYSICA D, V50, P341, DOI 10.1016/0167-2789(91)90004-S
[7]   SPATIOTEMPORAL CHAOS IN ONE-DIMENSIONAL AND TWO-DIMENSIONAL COUPLED MAP LATTICES [J].
KANEKO, K .
PHYSICA D, 1989, 37 (1-3) :60-82
[8]   PHASE-DIAGRAM FOR THE COLLECTIVE BEHAVIOR OF LIMIT-CYCLE OSCILLATORS [J].
MATTHEWS, PC ;
STROGATZ, SH .
PHYSICAL REVIEW LETTERS, 1990, 65 (14) :1701-1704
[9]   SYNCHRONIZATION OF PULSE-COUPLED BIOLOGICAL OSCILLATORS [J].
MIROLLO, RE ;
STROGATZ, SH .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1990, 50 (06) :1645-1662
[10]  
Pereira J. V., 1982, Dynamical Systems and Microphysics, Geometry and Mechanics. Proceedings of the 2nd International Seminar on Mathematical Theory of Dynamical Systems and Microphysics, P343