BIFURCATION SEQUENCES IN HORSESHOE MAPS - INFINITELY MANY ROUTES TO CHAOS

被引:19
作者
HOLMES, P [1 ]
机构
[1] CORNELL UNIV,CTR APPL MATH,ITHACA,NY 14853
关键词
D O I
10.1016/0375-9601(84)90800-4
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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页码:299 / 302
页数:4
相关论文
共 29 条
[1]   ON THE OBSERVATION OF AN UNCOMPLETED CASCADE IN A RAYLEIGH-BENARD EXPERIMENT [J].
ARNEODO, A ;
COULLET, P ;
TRESSER, C ;
LIBCHABER, A ;
MAURER, J ;
DHUMIERES, D .
PHYSICA D, 1983, 6 (03) :385-392
[2]  
Birman J., 1983, CONT MATH, V20, P1, DOI DOI 10.1090/CONM/020/718132
[3]   KNOTTED PERIODIC-ORBITS IN DYNAMICAL-SYSTEMS .1. LORENZ EQUATIONS [J].
BIRMAN, JS ;
WILLIAMS, RF .
TOPOLOGY, 1983, 22 (01) :47-82
[4]  
Collet P., 1980, ITERATED MAPS INTERV
[5]   SHIFT AUTOMORPHISMS IN THE HENON MAPPING [J].
DEVANEY, R ;
NITECKI, Z .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1979, 67 (02) :137-146
[6]  
ELHAMOULY H, 1981, CR ACAD SCI I-MATH, V293, P525
[7]  
Gavrilov N.K., 1973, MATH USSR SB, V19, P139, DOI [10.1070/SM1973v019n01ABEH001741, DOI 10.1070/SM1973V019N01ABEH001741]
[8]  
GAVRILOV NK, 1972, MATH USSR SBORNIK, V88, P465
[9]   BIFURCATION OF MAPS OF INTERVAL [J].
GUCKENHEIMER, J .
INVENTIONES MATHEMATICAE, 1977, 39 (02) :165-178
[10]   SENSITIVE DEPENDENCE TO INITIAL CONDITIONS FOR ONE DIMENSIONAL MAPS [J].
GUCKENHEIMER, J .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1979, 70 (02) :133-160