A new characterization of periodic oscillations in periodic difference equations
In this paper, we characterize periodic solutions of p-periodic difference equations. We classify the periods into multiples of p and nonmultiples of p. We show that the elements of the set of multiples of p follow the well-known Sharkovsky's ordering multiplied by p. On the other hand, we show...
محفوظ في:
| المؤلف الرئيسي: | |
|---|---|
| مؤلفون آخرون: | |
| التنسيق: | article |
| منشور في: |
2011
|
| الموضوعات: | |
| الوصول للمادة أونلاين: | http://hdl.handle.net/11073/16694 |
| الوسوم: |
إضافة وسم
لا توجد وسوم, كن أول من يضع وسما على هذه التسجيلة!
|
| _version_ | 1864513434836533248 |
|---|---|
| author | Al-Salman, Ahmad |
| author2 | Al-Sharawi, Ziyad |
| author2_role | author |
| author_facet | Al-Salman, Ahmad Al-Sharawi, Ziyad |
| author_role | author |
| dc.creator.none.fl_str_mv | Al-Salman, Ahmad Al-Sharawi, Ziyad |
| dc.date.none.fl_str_mv | 2011-11 2020-06-11T10:41:35Z 2020-06-11T10:41:35Z |
| dc.format.none.fl_str_mv | application/pdf |
| dc.identifier.none.fl_str_mv | Al-Salman, A., & AlSharawi, Z. (2011). A new characterization of periodic oscillations in periodic difference equations. Chaos, Solitons and Fractals, 44(11), 921–928. https://doi.org/10.1016/j.chaos.2011.07.011 1873-2887 http://hdl.handle.net/11073/16694 10.1016/j.chaos.2011.07.011 |
| dc.language.none.fl_str_mv | en_US |
| dc.publisher.none.fl_str_mv | Elsevier |
| dc.relation.none.fl_str_mv | https://doi.org/10.1016/j.chaos.2011.07.011 |
| dc.subject.none.fl_str_mv | Periodic difference equations Periodic orbits Sharkovsky's theorem |
| dc.title.none.fl_str_mv | A new characterization of periodic oscillations in periodic difference equations |
| dc.type.none.fl_str_mv | Peer-Reviewed Preprint info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article |
| description | In this paper, we characterize periodic solutions of p-periodic difference equations. We classify the periods into multiples of p and nonmultiples of p. We show that the elements of the set of multiples of p follow the well-known Sharkovsky's ordering multiplied by p. On the other hand, we show that the elements of the set Γp of nonmultiples of p are independent in their existence. Moreover, we show the existence of a p-periodic difference equation with infinite Γp-set in which the maps are defined on a compact domain and agree exactly on a countable set. Based on the proposed classification, we give a refinement of Sharkovsky's theorem for periodic difference equations. |
| format | article |
| id | aus_fedcf5a7bc64e9e050d4269ca8cd28be |
| identifier_str_mv | Al-Salman, A., & AlSharawi, Z. (2011). A new characterization of periodic oscillations in periodic difference equations. Chaos, Solitons and Fractals, 44(11), 921–928. https://doi.org/10.1016/j.chaos.2011.07.011 1873-2887 10.1016/j.chaos.2011.07.011 |
| language_invalid_str_mv | en_US |
| network_acronym_str | aus |
| network_name_str | aus |
| oai_identifier_str | oai:repository.aus.edu:11073/16694 |
| publishDate | 2011 |
| publisher.none.fl_str_mv | Elsevier |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| spelling | A new characterization of periodic oscillations in periodic difference equationsAl-Salman, AhmadAl-Sharawi, ZiyadPeriodic difference equationsPeriodic orbitsSharkovsky's theoremIn this paper, we characterize periodic solutions of p-periodic difference equations. We classify the periods into multiples of p and nonmultiples of p. We show that the elements of the set of multiples of p follow the well-known Sharkovsky's ordering multiplied by p. On the other hand, we show that the elements of the set Γp of nonmultiples of p are independent in their existence. Moreover, we show the existence of a p-periodic difference equation with infinite Γp-set in which the maps are defined on a compact domain and agree exactly on a countable set. Based on the proposed classification, we give a refinement of Sharkovsky's theorem for periodic difference equations.Elsevier2020-06-11T10:41:35Z2020-06-11T10:41:35Z2011-11Peer-ReviewedPreprintinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfAl-Salman, A., & AlSharawi, Z. (2011). A new characterization of periodic oscillations in periodic difference equations. Chaos, Solitons and Fractals, 44(11), 921–928. https://doi.org/10.1016/j.chaos.2011.07.0111873-2887http://hdl.handle.net/11073/1669410.1016/j.chaos.2011.07.011en_UShttps://doi.org/10.1016/j.chaos.2011.07.011oai:repository.aus.edu:11073/166942024-08-22T12:02:11Z |
| spellingShingle | A new characterization of periodic oscillations in periodic difference equations Al-Salman, Ahmad Periodic difference equations Periodic orbits Sharkovsky's theorem |
| status_str | publishedVersion |
| title | A new characterization of periodic oscillations in periodic difference equations |
| title_full | A new characterization of periodic oscillations in periodic difference equations |
| title_fullStr | A new characterization of periodic oscillations in periodic difference equations |
| title_full_unstemmed | A new characterization of periodic oscillations in periodic difference equations |
| title_short | A new characterization of periodic oscillations in periodic difference equations |
| title_sort | A new characterization of periodic oscillations in periodic difference equations |
| topic | Periodic difference equations Periodic orbits Sharkovsky's theorem |
| url | http://hdl.handle.net/11073/16694 |