NONLINEAR DYNAMICS IN A LASER WITH A NEGATIVE DELAYED FEEDBACK

被引:28
作者
GRIGORIEVA, EV [1 ]
KASHCHENKO, SA [1 ]
LOIKO, NA [1 ]
SAMSON, AM [1 ]
机构
[1] ACAD SCI,INST PHYS,MINSK 220602,BELORUSSIA,USSR
来源
PHYSICA D | 1992年 / 59卷 / 04期
关键词
D O I
10.1016/0167-2789(92)90072-U
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Asymptotic solutions of nonlinear differential-difference equations describing the lasing dynamics with a negative feedback are obtained. Periodic lasing regimes with a complex relaxational structure are shown to be possible in such lasers. The phenomenon of multistability, i.e., the co-existence of a great number of structurally different and structurally similar attractors, is analytically described. Asymptotic characteristics of lasing regimes (pulse shape and radiation pulsation frequency) are found and the domains in the parameter space and the initial conditions for their realization are determined for all types of solution. The chaotic dynamics following the sequence of period-doubling bifurcations is also numerically determined.
引用
收藏
页码:297 / 319
页数:23
相关论文
共 25 条
[1]  
DMITRIEV AS, 1989, RADIOTEKH ELEKTRON, P2569
[2]  
EDWARDS RE, 1965, FUNCTIONAL ANAL
[3]  
ELSGOLTS LE, 1971, INTRO THEORY APPLICA
[4]  
FARMER JD, 1982, PHYSICA D, V4, P366, DOI 10.1016/0167-2789(82)90042-2
[5]  
GAO JY, 1984, PHYS REV A, V38, P901
[6]   MEASURING THE STRANGENESS OF STRANGE ATTRACTORS [J].
GRASSBERGER, P ;
PROCACCIA, I .
PHYSICA D, 1983, 9 (1-2) :189-208
[7]  
GRIGORIEVA EV, 1989, BSSR548 AC SCI I PHY
[8]  
GRIGORIEVA EV, 1989, BSSR556 AC SCI I PHY
[9]   HIGH-DIMENSIONAL CHAOTIC BEHAVIOR IN SYSTEMS WITH TIME-DELAYED FEEDBACK [J].
IKEDA, K ;
MATSUMOTO, K .
PHYSICA D, 1987, 29 (1-2) :223-235
[10]  
KASHCHENKO SA, 1987, DOKL AKAD NAUK SSSR+, V292, P327