Stability and Complexity Analysis of Temperature Index Model Considering Stochastic Perturbation
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...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
|
| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2018/2789412 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832560221105422336 |
|---|---|
| author | Jing Wang |
| author_facet | Jing Wang |
| author_sort | Jing Wang |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-fc302414d3844884a42096509b7d0aa5 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-fc302414d3844884a42096509b7d0aa52025-02-03T01:28:12ZengWileyAdvances in Mathematical Physics1687-91201687-91392018-01-01201810.1155/2018/27894122789412Stability and Complexity Analysis of Temperature Index Model Considering Stochastic PerturbationJing Wang0Faculty of Science, Bengbu University, Bengbu 233030, ChinaA 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.http://dx.doi.org/10.1155/2018/2789412 |
| spellingShingle | Jing Wang Stability and Complexity Analysis of Temperature Index Model Considering Stochastic Perturbation Advances in Mathematical Physics |
| title | Stability and Complexity Analysis of Temperature Index Model Considering Stochastic Perturbation |
| title_full | Stability and Complexity Analysis of Temperature Index Model Considering Stochastic Perturbation |
| title_fullStr | Stability and Complexity Analysis of Temperature Index Model Considering Stochastic Perturbation |
| title_full_unstemmed | Stability and Complexity Analysis of Temperature Index Model Considering Stochastic Perturbation |
| title_short | Stability and Complexity Analysis of Temperature Index Model Considering Stochastic Perturbation |
| title_sort | stability and complexity analysis of temperature index model considering stochastic perturbation |
| url | http://dx.doi.org/10.1155/2018/2789412 |
| work_keys_str_mv | AT jingwang stabilityandcomplexityanalysisoftemperatureindexmodelconsideringstochasticperturbation |