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Stability and Complexity Analysis of Temperature Index Model Considering Stochastic Perturbation
Author
Source
Advances in Mathematical Physics
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-01-01
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
A temperature index model with delay and stochastic perturbation is constructed in this paper.
It explores the influence of parameters and stochastic factors on the stability and complexity of the model.
Based on historical temperature data of four cities of Anhui Province in China, the temperature periodic variation trends of approximately sinusoidal curves of four cities are given, respectively.
In addition, we analyze the existence conditions of the local stability of the temperature index model without stochastic term and estimate its parameters by using the same historical data of the four cities, respectively.
The numerical simulation results of the four cities are basically consistent with the descriptions of their historical temperature data, which proves that the temperature index model constructed has good fitting degree.
It also shows that unreasonable delay parameter can make the model lose stability and improve the complexity.
Stochastic factors do not usually change the trend in temperature, but they can cause high frequency fluctuations in the process of temperature evolution.
Stability control is successfully realized for unstable systems by the variable feedback control method.
The trend of temperature changes in Anhui Province is deduced by analyzing four typical cities.
American Psychological Association (APA)
Wang, Jing. 2018. Stability and Complexity Analysis of Temperature Index Model Considering Stochastic Perturbation. Advances in Mathematical Physics،Vol. 2018, no. 2018, pp.1-18.
https://search.emarefa.net/detail/BIM-1119108
Modern Language Association (MLA)
Wang, Jing. Stability and Complexity Analysis of Temperature Index Model Considering Stochastic Perturbation. Advances in Mathematical Physics No. 2018 (2018), pp.1-18.
https://search.emarefa.net/detail/BIM-1119108
American Medical Association (AMA)
Wang, Jing. Stability and Complexity Analysis of Temperature Index Model Considering Stochastic Perturbation. Advances in Mathematical Physics. 2018. Vol. 2018, no. 2018, pp.1-18.
https://search.emarefa.net/detail/BIM-1119108
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1119108