A DIFFERENTIAL-DELAY EQUATION ARISING IN OPTICS AND PHYSIOLOGY

被引:90
作者
MALLETPARET, J [1 ]
NUSSBAUM, RD [1 ]
机构
[1] RUTGERS STATE UNIV,DEPT MATH,NEW BRUNSWICK,NJ 08903
关键词
D O I
10.1137/0520019
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
引用
收藏
页码:249 / 292
页数:44
相关论文
共 27 条
[1]   HYPERGRAPHIC FUNCTIONS AND BIFURCATIONS IN RECURRENCE RELATIONS [J].
ALLWRIGHT, DJ .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1978, 34 (04) :687-691
[2]   THE DYNAMICS OF PRODUCTION AND DESTRUCTION - ANALYTIC INSIGHT INTO COMPLEX BEHAVIOR [J].
ANDERHEIDEN, U ;
MACKEY, MC .
JOURNAL OF MATHEMATICAL BIOLOGY, 1982, 16 (01) :75-101
[3]   EXISTENCE OF CHAOS IN CONTROL-SYSTEMS WITH DELAYED FEEDBACK [J].
ANDERHEIDEN, U ;
WALTHER, HO .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1983, 47 (02) :273-295
[4]  
ANDERHEIDEN U, 1981, LECT APPL MATH, V19, P355
[5]   INSTABILITY AND COMPLEX DYNAMIC BEHAVIOR IN POPULATION-MODELS WITH LONG-TIME DELAYS [J].
BLYTHE, SP ;
NISBET, RM ;
GURNEY, WSC .
THEORETICAL POPULATION BIOLOGY, 1982, 22 (02) :147-176
[6]  
CHAPIN SA, 1984, MICH MATH J, V31, P215
[7]  
Chow S. N., 1983, N HOLLAND MATH STUDI, V80, P7
[8]  
CHOW SN, 1985, CHAOS FRACTALS DYNAM, V1, P161
[9]  
Collet P., 1980, ITERATED MAPS INTERV
[10]   ALTERNATE PATHS TO CHAOS IN OPTICAL BISTABILITY [J].
DERSTINE, MW ;
GIBBS, HM ;
HOPF, FA ;
KAPLAN, DL .
PHYSICAL REVIEW A, 1983, 27 (06) :3200-3208