A DEVILS STAIRCASE INTO CHAOTIC SCATTERING

被引:22
作者
TROLL, G
机构
[1] Department of Nuclear Physics, The Weizmann Institute of Science
来源
PHYSICA D | 1991年 / 50卷 / 02期
关键词
D O I
10.1016/0167-2789(91)90180-H
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We discuss analytically the transition from a regular to a chaotic classical dynamics of a simple scattering model introduced earlier. The transition arises as a homoclinic bifurcation of an atypical type in phase space, as a discontinuity for the gammatical complexity and as an onset of a devil's staircase for the topological entropy.
引用
收藏
页码:276 / 296
页数:21
相关论文
共 21 条
[1]  
Aubry S., 1978, Solitons and Condensed Matter Physics, P264
[2]  
AUERBACH D, IN PRESS PHYS REV A
[3]   BIFURCATION TO CHAOTIC SCATTERING [J].
BLEHER, S ;
GREBOGI, C ;
OTT, E .
PHYSICA D, 1990, 46 (01) :87-121
[4]   ROUTES TO CHAOTIC SCATTERING [J].
BLEHER, S ;
OTT, E ;
GREBOGI, C .
PHYSICAL REVIEW LETTERS, 1989, 63 (09) :919-922
[5]   A SIMPLE-MODEL FOR CHAOTIC SCATTERING .2. QUANTUM-MECHANICAL THEORY [J].
BLUMEL, R ;
SMILANSKY, U .
PHYSICA D, 1989, 36 (1-2) :111-136
[6]   RESONANCES AND TRANSPORT IN THE SAWTOOTH MAP [J].
CHEN, Q ;
DANA, I ;
MEISS, JD ;
MURRAY, NW ;
PERCIVAL, IC .
PHYSICA D, 1990, 46 (02) :217-240
[7]  
Collet P., 1980, ITERATED MAPS INTERV
[8]  
Coullet P., 1978, J PHYSIQUE C, VC5, P25
[9]   TOPOLOGICAL AND METRIC PROPERTIES OF HENON-TYPE STRANGE ATTRACTORS [J].
CVITANOVIC, P ;
GUNARATNE, GH ;
PROCACCIA, I .
PHYSICAL REVIEW A, 1988, 38 (03) :1503-1520
[10]   INVARIANT MEASUREMENT OF STRANGE SETS IN TERMS OF CYCLES [J].
CVITANOVIC, P .
PHYSICAL REVIEW LETTERS, 1988, 61 (24) :2729-2732