FOURIER-ANALYSIS OF MULTI-FREQUENCY DYNAMICAL-SYSTEMS

被引:13
作者
KIM, S [1 ]
OSTLUND, S [1 ]
YU, G [1 ]
机构
[1] UNIV PENN,DEPT PHYS,PHILADELPHIA,PA 19104
来源
PHYSICA D | 1988年 / 31卷 / 01期
关键词
D O I
10.1016/0167-2789(88)90017-6
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
引用
收藏
页码:117 / 126
页数:10
相关论文
共 12 条
[1]   SCALING LAWS FOR MODE LOCKINGS IN CIRCLE MAPS [J].
CVITANOVIC, P ;
SHRAIMAN, B ;
SODERBERG, B .
PHYSICA SCRIPTA, 1985, 32 (04) :263-270
[2]   QUASI-PERIODICITY IN DISSIPATIVE SYSTEMS - A RENORMALIZATION-GROUP ANALYSIS [J].
FEIGENBAUM, MJ ;
KADANOFF, LP ;
SHENKER, SJ .
PHYSICA D, 1982, 5 (2-3) :370-386
[3]   MANY ROUTES TO TURBULENT CONVECTION [J].
GOLLUB, JP ;
BENSON, SV .
JOURNAL OF FLUID MECHANICS, 1980, 100 (OCT) :449-470
[4]   ATTRACTORS ON AN N-TORUS - QUASIPERIODICITY VERSUS CHAOS [J].
GREBOGI, C ;
OTT, E ;
YORKE, JA .
PHYSICA D, 1985, 15 (03) :354-373
[5]   QUASI-PERIODIC TRANSITIONS TO CHAOS OF INSTABILITIES IN AN ELECTRON-HOLE PLASMA EXCITED BY AC PERTURBATIONS AT ONE AND AT 2 FREQUENCIES [J].
HELD, GA ;
JEFFRIES, C .
PHYSICAL REVIEW LETTERS, 1986, 56 (11) :1183-1186
[6]  
HERMAN M, 1979, PUBL MATH IHES, V49, P1
[7]   SIMULTANEOUS RATIONAL-APPROXIMATIONS IN THE STUDY OF DYNAMIC-SYSTEMS [J].
KIM, SH ;
OSTLUND, S .
PHYSICAL REVIEW A, 1986, 34 (04) :3426-3434
[8]   RENORMALIZATION OF MAPPINGS OF THE 2-TORUS [J].
KIM, SH ;
OSTLUND, S .
PHYSICAL REVIEW LETTERS, 1985, 55 (11) :1165-1168
[9]   EBK QUANTIZATION OF NONSEPARABLE SYSTEMS - A FOURIER-TRANSFORM METHOD [J].
MARTENS, CC ;
EZRA, GS .
JOURNAL OF CHEMICAL PHYSICS, 1985, 83 (06) :2990-3001
[10]   UNIVERSAL PROPERTIES OF THE TRANSITION FROM QUASI-PERIODICITY TO CHAOS IN DISSIPATIVE SYSTEMS [J].
OSTLUND, S ;
RAND, D ;
SETHNA, J ;
SIGGIA, E .
PHYSICA D, 1983, 8 (03) :303-342