Control and stability on chaotic convection in porous media with time delayed fractional orders
Abstract In this paper, we study the effect of time delay and the scaled Rayleigh number on chaotic convection in porous media with fractional order. The stability analysis for different fractional-order cases is investigated and the effective chaotic range of the fractional order is determined by a...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2017-10-01
|
| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13662-017-1372-2 |
| _version_ | 1818419333053808640 |
|---|---|
| author | Khaled Moaddy |
| author_facet | Khaled Moaddy |
| author_sort | Khaled Moaddy |
| collection | DOAJ |
| description | Abstract In this paper, we study the effect of time delay and the scaled Rayleigh number on chaotic convection in porous media with fractional order. The stability analysis for different fractional-order cases is investigated and the effective chaotic range of the fractional order is determined by a general synchronization of nonidentical chaotic systems based on the active control technique. The numerical results demonstrate that the effect of various values of the scaled Rayleigh number R, time delay and fractional orders changes the chaotic convection behavior to limit cycles or stable system in porous media. |
| first_indexed | 2024-12-14T12:36:54Z |
| format | Article |
| id | doaj.art-bd1b352f856443b78ff0e4c702544faf |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-14T12:36:54Z |
| publishDate | 2017-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-bd1b352f856443b78ff0e4c702544faf2022-12-21T23:01:01ZengSpringerOpenAdvances in Difference Equations1687-18472017-10-012017111310.1186/s13662-017-1372-2Control and stability on chaotic convection in porous media with time delayed fractional ordersKhaled Moaddy0Department of Mathematics, Faculty of Science and Arts, Shaqra UniversityAbstract In this paper, we study the effect of time delay and the scaled Rayleigh number on chaotic convection in porous media with fractional order. The stability analysis for different fractional-order cases is investigated and the effective chaotic range of the fractional order is determined by a general synchronization of nonidentical chaotic systems based on the active control technique. The numerical results demonstrate that the effect of various values of the scaled Rayleigh number R, time delay and fractional orders changes the chaotic convection behavior to limit cycles or stable system in porous media.http://link.springer.com/article/10.1186/s13662-017-1372-2chaotic behaviorfractional differential equationssynchronizationinternal heat generationporous media |
| spellingShingle | Khaled Moaddy Control and stability on chaotic convection in porous media with time delayed fractional orders Advances in Difference Equations chaotic behavior fractional differential equations synchronization internal heat generation porous media |
| title | Control and stability on chaotic convection in porous media with time delayed fractional orders |
| title_full | Control and stability on chaotic convection in porous media with time delayed fractional orders |
| title_fullStr | Control and stability on chaotic convection in porous media with time delayed fractional orders |
| title_full_unstemmed | Control and stability on chaotic convection in porous media with time delayed fractional orders |
| title_short | Control and stability on chaotic convection in porous media with time delayed fractional orders |
| title_sort | control and stability on chaotic convection in porous media with time delayed fractional orders |
| topic | chaotic behavior fractional differential equations synchronization internal heat generation porous media |
| url | http://link.springer.com/article/10.1186/s13662-017-1372-2 |
| work_keys_str_mv | AT khaledmoaddy controlandstabilityonchaoticconvectioninporousmediawithtimedelayedfractionalorders |