DELAY-INDUCED EFFECTS ON ISOLA TYPE OF STEADY-STATE PATTERN IN A COUPLED OPTICAL BISTABLE CHAIN

被引:2
作者
CHERN, JL [1 ]
MCIVER, JK [1 ]
OTSUKA, K [1 ]
机构
[1] UNIV NEW MEXICO, DEPT PHYS & ASTRON, ALBUQUERQUE, NM 87131 USA
关键词
D O I
10.1016/0375-9601(91)91002-U
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
This study shows thai delay may not destabilize a steady state which is surrounded by unstable steady states. This is in a sharp contrast to a well-known concept, i.e. "delay will induce instability". An example is shown within the isolas' bifurcation structure and three types of steady state patterns are classified. Type I and II patterns form the isolas while type III pattern is the symmetrical solution. It is shown that the unstable type I pattern survives delay. This is the basic requirement for further development of isola chaos. However, type II and III patterns are not recovered by delay. Isola chaos will be terminated via crisis and merge to full-scale chaos. We investigate the origin of this full-scale chaos. A phenomenon related to "sensitivity of parameters" is shown. Finally we discuss the possibility of observation.
引用
收藏
页码:209 / 215
页数:7
相关论文
共 23 条
[1]   A NETWORK OF OSCILLATORS [J].
ABBOTT, LF .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (16) :3835-3859
[2]  
[Anonymous], 1983, COMPUTATIONAL METHOD
[3]   3 IDENTICAL OSCILLATORS WITH SYMMETRICAL COUPLING [J].
ASHWIN, P ;
KING, GP ;
SWIFT, JW .
NONLINEARITY, 1990, 3 (03) :585-601
[4]  
Bauer L., 1973, International Journal of Non-Linear Mechanics, V8, P31, DOI 10.1016/0020-7462(73)90012-7
[5]  
BEDDINGTON J R, 1975, Mathematical Biosciences, V27, P109, DOI 10.1016/0025-5564(75)90028-0
[6]  
BERRE ML, 1990, PHYS REV A, V41, P6635
[7]   EFFECT OF DELAY IN A BISTABLE OPTICAL-SYSTEM WITH DISTRIBUTED NONLINEAR ELEMENTS [J].
CHERN, JL ;
MCIVER, JK ;
SHY, JT .
OPTICS COMMUNICATIONS, 1990, 76 (01) :63-68
[8]   FREQUENCY RELATION IN AN OPTICAL RING CAVITY WITH DISTRIBUTED NONLINEAR ELEMENTS [J].
CHERN, JL ;
MCIVER, JK ;
WU, HL .
OPTICS COMMUNICATIONS, 1990, 75 (02) :145-148
[9]  
CHERN JL, 1991, THESIS U NEW MEXICO
[10]  
CHERN JL, UNPUB