Dynamics of a Discretization Physiological Control System
We study the dynamics of solutions of discrete physiological control system obtained by Midpoint rule. It is shown that a sequence of Hopf bifurcations occurs at the positive equilibrium as the delay increases and we analyze the stability of the solution of the discrete system and calculate the dire...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2007-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2007/51406 |
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| _version_ | 1832552203474173952 |
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| author | Xiaohua Ding Huan Su |
| author_facet | Xiaohua Ding Huan Su |
| author_sort | Xiaohua Ding |
| collection | DOAJ |
| description | We study the dynamics of solutions of discrete
physiological control system obtained by Midpoint rule. It is shown
that a sequence of Hopf bifurcations occurs at the positive
equilibrium as the delay increases and we analyze the stability of
the solution of the discrete system and calculate the direction of
the Hopf bifurcations. The numerical results are presented. |
| format | Article |
| id | doaj-art-0f9b924000a6425eb6d2628e948e33f2 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2007-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-0f9b924000a6425eb6d2628e948e33f22025-02-03T05:59:16ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2007-01-01200710.1155/2007/5140651406Dynamics of a Discretization Physiological Control SystemXiaohua Ding0Huan Su1Department of Mathematics, Harbin Institute of Technology, Weihai 264209, ChinaDepartment of Mathematics, Harbin Institute of Technology, Weihai 264209, ChinaWe study the dynamics of solutions of discrete physiological control system obtained by Midpoint rule. It is shown that a sequence of Hopf bifurcations occurs at the positive equilibrium as the delay increases and we analyze the stability of the solution of the discrete system and calculate the direction of the Hopf bifurcations. The numerical results are presented.http://dx.doi.org/10.1155/2007/51406 |
| spellingShingle | Xiaohua Ding Huan Su Dynamics of a Discretization Physiological Control System Discrete Dynamics in Nature and Society |
| title | Dynamics of a Discretization Physiological Control System |
| title_full | Dynamics of a Discretization Physiological Control System |
| title_fullStr | Dynamics of a Discretization Physiological Control System |
| title_full_unstemmed | Dynamics of a Discretization Physiological Control System |
| title_short | Dynamics of a Discretization Physiological Control System |
| title_sort | dynamics of a discretization physiological control system |
| url | http://dx.doi.org/10.1155/2007/51406 |
| work_keys_str_mv | AT xiaohuading dynamicsofadiscretizationphysiologicalcontrolsystem AT huansu dynamicsofadiscretizationphysiologicalcontrolsystem |