Poincaré Map and Periodic Solutions of First-Order Impulsive Differential Equations on Moebius Stripe
This paper is mainly concerned with the existence, stability, and bifurcations of periodic solutions of a certain scalar impulsive differential equations on Moebius stripe. Some sufficient conditions are obtained to ensure the existence and stability of one-side periodic orbit and two-side periodic...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/382592 |
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| _version_ | 1832557054893490176 |
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| author | Yefeng He Yepeng Xing |
| author_facet | Yefeng He Yepeng Xing |
| author_sort | Yefeng He |
| collection | DOAJ |
| description | This paper is mainly concerned with the existence, stability, and bifurcations of periodic solutions of a certain scalar impulsive differential equations on Moebius stripe. Some sufficient conditions are obtained to ensure the existence and stability of one-side periodic orbit and two-side periodic orbit of impulsive differential equations on Moebius stripe by employing displacement functions. Furthermore, double-periodic bifurcation is also studied by using Poincaré map. |
| format | Article |
| id | doaj-art-cb3cd88362d54a7fa7ec1f61417632e8 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-cb3cd88362d54a7fa7ec1f61417632e82025-02-03T05:43:52ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/382592382592Poincaré Map and Periodic Solutions of First-Order Impulsive Differential Equations on Moebius StripeYefeng He0Yepeng Xing1Department of Mathematics, Shanghai Normal University, Shanghai 200234, ChinaDepartment of Mathematics, Shanghai Normal University, Shanghai 200234, ChinaThis paper is mainly concerned with the existence, stability, and bifurcations of periodic solutions of a certain scalar impulsive differential equations on Moebius stripe. Some sufficient conditions are obtained to ensure the existence and stability of one-side periodic orbit and two-side periodic orbit of impulsive differential equations on Moebius stripe by employing displacement functions. Furthermore, double-periodic bifurcation is also studied by using Poincaré map.http://dx.doi.org/10.1155/2013/382592 |
| spellingShingle | Yefeng He Yepeng Xing Poincaré Map and Periodic Solutions of First-Order Impulsive Differential Equations on Moebius Stripe Abstract and Applied Analysis |
| title | Poincaré Map and Periodic Solutions of First-Order Impulsive Differential Equations on Moebius Stripe |
| title_full | Poincaré Map and Periodic Solutions of First-Order Impulsive Differential Equations on Moebius Stripe |
| title_fullStr | Poincaré Map and Periodic Solutions of First-Order Impulsive Differential Equations on Moebius Stripe |
| title_full_unstemmed | Poincaré Map and Periodic Solutions of First-Order Impulsive Differential Equations on Moebius Stripe |
| title_short | Poincaré Map and Periodic Solutions of First-Order Impulsive Differential Equations on Moebius Stripe |
| title_sort | poincare map and periodic solutions of first order impulsive differential equations on moebius stripe |
| url | http://dx.doi.org/10.1155/2013/382592 |
| work_keys_str_mv | AT yefenghe poincaremapandperiodicsolutionsoffirstorderimpulsivedifferentialequationsonmoebiusstripe AT yepengxing poincaremapandperiodicsolutionsoffirstorderimpulsivedifferentialequationsonmoebiusstripe |