AN ANALYTICAL AND NUMERICAL STUDY OF THE BIFURCATIONS IN A SYSTEM OF LINEARLY-COUPLED OSCILLATORS

被引：96
作者：
ARONSON, DG
DOEDEL, EJ
OTHMER, HG
机构：
[1] CONCORDIA UNIV,DEPT COMP SCI,MONTREAL H3G 1M8,QUEBEC,CANADA
[2] UNIV UTAH,DEPT MATH,SALT LAKE CITY,UT 84112
来源：
PHYSICA D | 1987年 / 25卷 / 1-3期
关键词：
D O I：
10.1016/0167-2789(87)90095-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
引用
收藏
页码：20 / 104
页数：85
相关论文
共 33 条
[1]  
Arnold V. I., 1972, RUSS MATH SURV, V27, P54
[2]  
ARNOLD VA, 1976, FUNCT ANAL APPL, V11, P85
[3]   BIFURCATIONS FROM AN INVARIANT CIRCLE FOR 2-PARAMETER FAMILIES OF MAPS OF THE PLANE - A COMPUTER-ASSISTED STUDY [J].
ARONSON, DG ;
CHORY, MA ;
HALL, GR ;
MCGEHEE, RP .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1982, 83 (03) :303-354
[4]  
ASHKENAZI M, 1978, J MATH BIOL, V5, P305
[5]   GENERALIZATION OF METHOD OF AVERAGING FOR SYSTEMS WITH 2 TIME SCALES [J].
BALACHANDRA, M ;
SETHNA, PR .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1975, 58 (03) :261-283
[6]  
Bushard L. B., 1973, International Journal of Non-Linear Mechanics, V8, P129, DOI 10.1016/0020-7462(73)90030-9
[7]  
CODDINGTON EA, 1955, ORDINARY DIFFERENTIA
[8]   THE NATURE OF THE COUPLING BETWEEN SEGMENTAL OSCILLATORS OF THE LAMPREY SPINAL GENERATOR FOR LOCOMOTION - A MATHEMATICAL-MODEL [J].
COHEN, AH ;
HOLMES, PJ ;
RAND, RH .
JOURNAL OF MATHEMATICAL BIOLOGY, 1982, 13 (03) :345-369
[9]   LARGE TIME BEHAVIOR OF SOLUTIONS OF SYSTEMS OF NON-LINEAR REACTION-DIFFUSION EQUATIONS [J].
CONWAY, E ;
HOFF, D ;
SMOLLER, J .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1978, 35 (01) :1-16
[10]  
DIALECKII JL, 1974, TRANSLATIONS MATH MO, V43
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