Periodic Solutions Generated by Impulses for State-Dependent Impulsive Differential Equation
We study the existence of periodic solutions for a class of state-dependent impulsive differential systems via geometrical analysis methods. Our results show that these periodic solutions are generated by impulses. Moreover, numerical simulations are used to examine the existence of the periodic sol...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2015/816325 |
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| _version_ | 1832548983256383488 |
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| author | Qizhen Xiao Binxiang Dai |
| author_facet | Qizhen Xiao Binxiang Dai |
| author_sort | Qizhen Xiao |
| collection | DOAJ |
| description | We study the existence of periodic solutions for a class of state-dependent impulsive differential systems via geometrical analysis methods. Our results show that these periodic solutions are generated by impulses. Moreover, numerical simulations are used to examine the existence of the periodic solutions. |
| format | Article |
| id | doaj-art-e86475263f304c43b28dd3c5f3850b60 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-e86475263f304c43b28dd3c5f3850b602025-02-03T06:12:39ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/816325816325Periodic Solutions Generated by Impulses for State-Dependent Impulsive Differential EquationQizhen Xiao0Binxiang Dai1School of Mathematics and Statistics, Central South University, Changsha, Hunan 410083, ChinaSchool of Mathematics and Statistics, Central South University, Changsha, Hunan 410083, ChinaWe study the existence of periodic solutions for a class of state-dependent impulsive differential systems via geometrical analysis methods. Our results show that these periodic solutions are generated by impulses. Moreover, numerical simulations are used to examine the existence of the periodic solutions.http://dx.doi.org/10.1155/2015/816325 |
| spellingShingle | Qizhen Xiao Binxiang Dai Periodic Solutions Generated by Impulses for State-Dependent Impulsive Differential Equation Discrete Dynamics in Nature and Society |
| title | Periodic Solutions Generated by Impulses for State-Dependent Impulsive Differential Equation |
| title_full | Periodic Solutions Generated by Impulses for State-Dependent Impulsive Differential Equation |
| title_fullStr | Periodic Solutions Generated by Impulses for State-Dependent Impulsive Differential Equation |
| title_full_unstemmed | Periodic Solutions Generated by Impulses for State-Dependent Impulsive Differential Equation |
| title_short | Periodic Solutions Generated by Impulses for State-Dependent Impulsive Differential Equation |
| title_sort | periodic solutions generated by impulses for state dependent impulsive differential equation |
| url | http://dx.doi.org/10.1155/2015/816325 |
| work_keys_str_mv | AT qizhenxiao periodicsolutionsgeneratedbyimpulsesforstatedependentimpulsivedifferentialequation AT binxiangdai periodicsolutionsgeneratedbyimpulsesforstatedependentimpulsivedifferentialequation |