ATTRACTORS ON AN N-TORUS - QUASIPERIODICITY VERSUS CHAOS

被引:114
作者
GREBOGI, C
OTT, E
YORKE, JA
机构
[1] UNIV MARYLAND,DEPT PHYS & ASTRON,COLLEGE PK,MD 20742
[2] UNIV MARYLAND,DEPT ELECT ENGN,COLLEGE PK,MD 20742
[3] UNIV MARYLAND,DEPT MATH,COLLEGE PK,MD 20742
[4] UNIV MARYLAND,INST PHYS SCI & TECHNOL,COLLEGE PK,MD 20742
来源
PHYSICA D | 1985年 / 15卷 / 03期
关键词
D O I
10.1016/S0167-2789(85)80004-X
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
引用
收藏
页码:354 / 373
页数:20
相关论文
共 15 条
[1]  
Arnold V.I., 1965, AM MATH SOC TRANSL, V46, P213, DOI 10.1090/trans2/046/11
[2]   THE DIMENSION OF CHAOTIC ATTRACTORS [J].
FARMER, JD ;
OTT, E ;
YORKE, JA .
PHYSICA D-NONLINEAR PHENOMENA, 1983, 7 (1-3) :153-180
[3]   MANY ROUTES TO TURBULENT CONVECTION [J].
GOLLUB, JP ;
BENSON, SV .
JOURNAL OF FLUID MECHANICS, 1980, 100 (OCT) :449-470
[4]  
GORMAN M, 1980, ANN NY ACAD SCI, V357, P10
[5]   ARE 3-FREQUENCY QUASI-PERIODIC ORBITS TO BE EXPECTED IN TYPICAL NON-LINEAR DYNAMICAL-SYSTEMS [J].
GREBOGI, C ;
OTT, E ;
YORKE, JA .
PHYSICAL REVIEW LETTERS, 1983, 51 (05) :339-342
[6]   STRANGE ATTRACTORS THAT ARE NOT CHAOTIC [J].
GREBOGI, C ;
OTT, E ;
PELIKAN, S ;
YORKE, JA .
PHYSICA D, 1984, 13 (1-2) :261-268
[7]   2-DIMENSIONAL MAPPING WITH A STRANGE ATTRACTOR [J].
HENON, M .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1976, 50 (01) :69-77
[8]  
HERMAN MR, 1976, THESIS U PARIS ORSAY
[9]  
KANEKO K, 1984, PROG THEOR PHYS, V71, P1
[10]   OCCURRENCE OF STRANGE AXIOM A ATTRACTORS NEAR QUASI PERIODIC FLOWS ON TM, M IS GREATER THAN OR EQUAL TO 3 [J].
NEWHOUSE, S ;
RUELLE, D ;
TAKENS, F .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1978, 64 (01) :35-40