Stability Analysis of Complex-Valued Nonlinear Differential System
This paper studies the stability of complex-valued nonlinear differential system. The stability criteria of complex-valued nonlinear autonomous system are established. For the general complex-valued nonlinear non-autonomous system, the comparison principle in the context of complex fields is given....
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/621957 |
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| _version_ | 1832562988590039040 |
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| author | Tao Fang Jitao Sun |
| author_facet | Tao Fang Jitao Sun |
| author_sort | Tao Fang |
| collection | DOAJ |
| description | This paper studies the stability of complex-valued nonlinear differential system. The stability criteria of complex-valued nonlinear autonomous system are established. For the general complex-valued nonlinear non-autonomous system, the comparison principle in the context of complex fields is given. Those derived stability criteria not only provide a new method to analyze complex-valued differential system, but also greatly reduce the complexity of analysis and computation. |
| format | Article |
| id | doaj-art-f94bc61ce16e4383a0cc9703f7392700 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-f94bc61ce16e4383a0cc9703f73927002025-02-03T01:21:18ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/621957621957Stability Analysis of Complex-Valued Nonlinear Differential SystemTao Fang0Jitao Sun1Department of Mathematics, Tongji University, Shanghai 200092, ChinaDepartment of Mathematics, Tongji University, Shanghai 200092, ChinaThis paper studies the stability of complex-valued nonlinear differential system. The stability criteria of complex-valued nonlinear autonomous system are established. For the general complex-valued nonlinear non-autonomous system, the comparison principle in the context of complex fields is given. Those derived stability criteria not only provide a new method to analyze complex-valued differential system, but also greatly reduce the complexity of analysis and computation.http://dx.doi.org/10.1155/2013/621957 |
| spellingShingle | Tao Fang Jitao Sun Stability Analysis of Complex-Valued Nonlinear Differential System Journal of Applied Mathematics |
| title | Stability Analysis of Complex-Valued Nonlinear Differential System |
| title_full | Stability Analysis of Complex-Valued Nonlinear Differential System |
| title_fullStr | Stability Analysis of Complex-Valued Nonlinear Differential System |
| title_full_unstemmed | Stability Analysis of Complex-Valued Nonlinear Differential System |
| title_short | Stability Analysis of Complex-Valued Nonlinear Differential System |
| title_sort | stability analysis of complex valued nonlinear differential system |
| url | http://dx.doi.org/10.1155/2013/621957 |
| work_keys_str_mv | AT taofang stabilityanalysisofcomplexvaluednonlineardifferentialsystem AT jitaosun stabilityanalysisofcomplexvaluednonlineardifferentialsystem |