Synchronization of a Supply Chain Model with Four Chaotic Attractors
In this article, we construct a three-stage supply chain model using a system of differential equations to reveal the interplay among producers, distributors, and end customers. On the one hand, information about the products and production is exchanged between each stage in the supply chain system....
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2022/6390456 |
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| _version_ | 1832549556517076992 |
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| author | Jing Zheng Qiongxin Zhang Qi Xu Fei Xu Victor Shi |
| author_facet | Jing Zheng Qiongxin Zhang Qi Xu Fei Xu Victor Shi |
| author_sort | Jing Zheng |
| collection | DOAJ |
| description | In this article, we construct a three-stage supply chain model using a system of differential equations to reveal the interplay among producers, distributors, and end customers. On the one hand, information about the products and production is exchanged between each stage in the supply chain system. Such information affects the behaviors of each stage. On the other hand, the transport of products between the stages of the supply chain affects the behavior of the system. Our findings are summarized as follows: First, we find that the supply chain model is a system with four chaotic attractors. Second, we explore the synchronization of such a chaotic system. Third, according to the characteristics of the chaotic system, we design a variety of simple control laws to realize the synchronization of two chaotic systems with the same structure. These control laws for the chaotic system are proved to realize local asymptotic synchronization or global exponential synchronization. Numerical simulations are conducted to confirm that the designed controls work well. |
| format | Article |
| id | doaj-art-0421e6d9aa604b68bc9bf0d546da7afa |
| institution | Kabale University |
| issn | 1607-887X |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-0421e6d9aa604b68bc9bf0d546da7afa2025-02-03T06:10:55ZengWileyDiscrete Dynamics in Nature and Society1607-887X2022-01-01202210.1155/2022/6390456Synchronization of a Supply Chain Model with Four Chaotic AttractorsJing Zheng0Qiongxin Zhang1Qi Xu2Fei Xu3Victor Shi4Glorious Sun School of Business and ManagementSchool of International StudiesGlorious Sun School of Business and ManagementLazaridis School of Businesa and EconomicsLazaridis School of Businesa and EconomicsIn this article, we construct a three-stage supply chain model using a system of differential equations to reveal the interplay among producers, distributors, and end customers. On the one hand, information about the products and production is exchanged between each stage in the supply chain system. Such information affects the behaviors of each stage. On the other hand, the transport of products between the stages of the supply chain affects the behavior of the system. Our findings are summarized as follows: First, we find that the supply chain model is a system with four chaotic attractors. Second, we explore the synchronization of such a chaotic system. Third, according to the characteristics of the chaotic system, we design a variety of simple control laws to realize the synchronization of two chaotic systems with the same structure. These control laws for the chaotic system are proved to realize local asymptotic synchronization or global exponential synchronization. Numerical simulations are conducted to confirm that the designed controls work well.http://dx.doi.org/10.1155/2022/6390456 |
| spellingShingle | Jing Zheng Qiongxin Zhang Qi Xu Fei Xu Victor Shi Synchronization of a Supply Chain Model with Four Chaotic Attractors Discrete Dynamics in Nature and Society |
| title | Synchronization of a Supply Chain Model with Four Chaotic Attractors |
| title_full | Synchronization of a Supply Chain Model with Four Chaotic Attractors |
| title_fullStr | Synchronization of a Supply Chain Model with Four Chaotic Attractors |
| title_full_unstemmed | Synchronization of a Supply Chain Model with Four Chaotic Attractors |
| title_short | Synchronization of a Supply Chain Model with Four Chaotic Attractors |
| title_sort | synchronization of a supply chain model with four chaotic attractors |
| url | http://dx.doi.org/10.1155/2022/6390456 |
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