On discrete-time laser model with fuzzy environment

Qianhong Zhang; Ouyang Miao; Fubiao Lin; Zhongni Zhang; Qianhong Zhang; Ouyang Miao; Fubiao Lin; Zhongni Zhang

doi:10.3934/math.2021188

AIMS Mathematics

2021, Volume 6, Issue 4: 3105-3120. doi: 10.3934/math.2021188

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Research article

On discrete-time laser model with fuzzy environment

1.
School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang, Guizhou 550025, China
2.
School of Applied Mathematics, Xiamen University of Technology, Xiamen, Fujian 361024, China

Received: 20 September 2020 Accepted: 29 December 2020 Published: 13 January 2021
MSC : 39A10

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.
- discrete-time laser model,
- boundedness,
- stability,
- g-division
Citation: Qianhong Zhang, Ouyang Miao, Fubiao Lin, Zhongni Zhang. On discrete-time laser model with fuzzy environment[J]. AIMS Mathematics, 2021, 6(4): 3105-3120. doi: 10.3934/math.2021188

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Abstract

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.

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