On discrete-time laser model with fuzzy environment

被引：1
作者：
Zhang, Qianhong [1 ]
Ouyang, Miao [2 ]
Lin, Fubiao [1 ]
Zhang, Zhongni [1 ]
机构：
[1] Guizhou Univ Finance & Econ, Sch Math & Stat, Guiyang 550025, Guizhou, Peoples R China
[2] Xiamen Univ Technol, Sch Appl Math, Xiamen 361024, Fujian, Peoples R China
来源：
AIMS MATHEMATICS | 2021年 / 6卷 / 04期
基金：
中国国家自然科学基金;
关键词：
discrete-time laser model; boundedness; stability; g-division; DIFFERENCE-EQUATIONS; BEHAVIOR;
D O I：
10.3934/math.2021188
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, dynamical behaviors of discrete time laser model with fuzzy parameters are studied. It provides a flexible model to fit fuzzy uncertainty data. For four different fuzzy parameters and fuzzy initial conditions, using a generalization of division (g-division) of fuzzy number, it can represent dynamical behaviors including boundedness and global asymptotical stability of positive solution. Finally, two examples are given to demonstrate the effectiveness of the results obtained.
引用
收藏
页码：3105 / 3120
页数：16
相关论文
共 28 条
[1]  
[Anonymous], 1983, Synergetics
[2]  
[Anonymous], 1998, Possibility Theory: An Approach to Computerized Processing of Uncertainty
[3]   On the fuzzy difference equations of finance [J].
Chrysafis, Konstantinos A. ;
Papadopoulos, Basil K. ;
Papaschinopoulos, G. .
FUZZY SETS AND SYSTEMS, 2008, 159 (24) :3259-3270
[4]   Analysis by fuzzy difference equations of a model of CO2 level in the blood [J].
Deeba, EY ;
de Korvin, A .
APPLIED MATHEMATICS LETTERS, 1999, 12 (03) :33-40
[5]  
Din Q., 2015, J Discrete Math, V2015, DOI [10.1155/2015/524931, DOI 10.1155/2015/524931]
[6]   Lasers, stability, and numbers [J].
Gallas, Jason A. C. .
PHYSICA SCRIPTA, 2019, 94 (01)
[7]   Discrete-ordinates solution of short-pulsed laser transport in two-dimensional turbid media [J].
Guo, ZX ;
Kumar, S .
APPLIED OPTICS, 2001, 40 (19) :3156-3163
[8]  
Haken H., 2012, LASER THEORY
[9]  
Ion JC, 2005, LASER PROCESSING OF ENGINEERING MATERIALS: PRINCIPLES, PROCEDURE AND INDUSTRIAL APPLICATION, P1
[10]  
Jha A. R., 2000, INFRARED, V11, P1944
123