Double Delayed Feedback Control of a Nonlinear Finance System
In this paper, a class of chaotic finance system with double delayed feedback control is investigated. Firstly, the stability of equilibrium and the existence of periodic solutions are discussed when delays change and cross some threshold value. Then the properties of the branching periodic solution...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2019/7254121 |
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| _version_ | 1850223073474641920 |
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| author | Zhichao Jiang Yanfen Guo Tongqian Zhang |
| author_facet | Zhichao Jiang Yanfen Guo Tongqian Zhang |
| author_sort | Zhichao Jiang |
| collection | DOAJ |
| description | In this paper, a class of chaotic finance system with double delayed feedback control is investigated. Firstly, the stability of equilibrium and the existence of periodic solutions are discussed when delays change and cross some threshold value. Then the properties of the branching periodic solutions are given by using center manifold theory. Further, we give an example and numerical simulation, which implies that chaotic behavior can be transformed into a stable equilibrium or a stable periodic solution. Also, we give the local sensitivity analysis of parameters on equilibrium. |
| format | Article |
| id | doaj-art-6aa0c9f8a909435cbe6568cd227bf2ca |
| institution | OA Journals |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-6aa0c9f8a909435cbe6568cd227bf2ca2025-08-20T02:06:06ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2019-01-01201910.1155/2019/72541217254121Double Delayed Feedback Control of a Nonlinear Finance SystemZhichao Jiang0Yanfen Guo1Tongqian Zhang2Fundamental Science Department, North China Institute of Aerospace Engineering, Langfang 065000, ChinaFundamental Education Department, Beijing Polytechnic College, Beijing 100042, ChinaCollege of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, ChinaIn this paper, a class of chaotic finance system with double delayed feedback control is investigated. Firstly, the stability of equilibrium and the existence of periodic solutions are discussed when delays change and cross some threshold value. Then the properties of the branching periodic solutions are given by using center manifold theory. Further, we give an example and numerical simulation, which implies that chaotic behavior can be transformed into a stable equilibrium or a stable periodic solution. Also, we give the local sensitivity analysis of parameters on equilibrium.http://dx.doi.org/10.1155/2019/7254121 |
| spellingShingle | Zhichao Jiang Yanfen Guo Tongqian Zhang Double Delayed Feedback Control of a Nonlinear Finance System Discrete Dynamics in Nature and Society |
| title | Double Delayed Feedback Control of a Nonlinear Finance System |
| title_full | Double Delayed Feedback Control of a Nonlinear Finance System |
| title_fullStr | Double Delayed Feedback Control of a Nonlinear Finance System |
| title_full_unstemmed | Double Delayed Feedback Control of a Nonlinear Finance System |
| title_short | Double Delayed Feedback Control of a Nonlinear Finance System |
| title_sort | double delayed feedback control of a nonlinear finance system |
| url | http://dx.doi.org/10.1155/2019/7254121 |
| work_keys_str_mv | AT zhichaojiang doubledelayedfeedbackcontrolofanonlinearfinancesystem AT yanfenguo doubledelayedfeedbackcontrolofanonlinearfinancesystem AT tongqianzhang doubledelayedfeedbackcontrolofanonlinearfinancesystem |