Homoclinicity in the dynamics of forced fluidized bed catalytic reactors
The dynamic behaviour of the non-isothermal oscillating fluidized bed catalytic reactor subjected to high and low frequency forcing is investigated. Resonance horns and period doubling loci inside the horns are constructed, using efficient algorithms, for different positions of the centre of forcing...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English English |
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Elsevier Science
1997
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| Online Access: | http://psasir.upm.edu.my/id/eprint/51032/ http://psasir.upm.edu.my/id/eprint/51032/1/51032.pdf http://psasir.upm.edu.my/id/eprint/51032/7/1-s2.0-S0960077996001403-main.pdf |
| _version_ | 1848851722432151552 |
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| author | Abashar, Mohamed E. E. Elnashaie, Said Salah Eldin Hamed Hughes, R. |
| author_facet | Abashar, Mohamed E. E. Elnashaie, Said Salah Eldin Hamed Hughes, R. |
| author_sort | Abashar, Mohamed E. E. |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The dynamic behaviour of the non-isothermal oscillating fluidized bed catalytic reactor subjected to high and low frequency forcing is investigated. Resonance horns and period doubling loci inside the horns are constructed, using efficient algorithms, for different positions of the centre of forcing relative to the homoclinical orbit (infinite period orbit) of the autonomous (unforced) system. The analysis shows that the reactor behaviour is very sensitive to the position of the centre of forcing relative to the homoclinical orbit. For high frequency forcing (ω/ω0 = 5/1) with centre of forcing close to the homoclinical orbit, the system shows period doubling to chaos at very small amplitudes. For low frequency forcing (ω/ω0 = 2/1), incomplete period doubling not leading to chaos is observed in some cases and the new period adding bifurcation is also uncovered for other cases. The interactions between different resonance horns are investigated and the resulting bistabilities are elucidated. Quantitative methods proved that the strange attractors encountered are chaotic with one positive Lyapunov exponent and a Lyapunov fractal dimension between 1 and 2. |
| first_indexed | 2025-11-15T10:26:42Z |
| format | Article |
| id | upm-51032 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T10:26:42Z |
| publishDate | 1997 |
| publisher | Elsevier Science |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-510322024-08-08T04:05:36Z http://psasir.upm.edu.my/id/eprint/51032/ Homoclinicity in the dynamics of forced fluidized bed catalytic reactors Abashar, Mohamed E. E. Elnashaie, Said Salah Eldin Hamed Hughes, R. The dynamic behaviour of the non-isothermal oscillating fluidized bed catalytic reactor subjected to high and low frequency forcing is investigated. Resonance horns and period doubling loci inside the horns are constructed, using efficient algorithms, for different positions of the centre of forcing relative to the homoclinical orbit (infinite period orbit) of the autonomous (unforced) system. The analysis shows that the reactor behaviour is very sensitive to the position of the centre of forcing relative to the homoclinical orbit. For high frequency forcing (ω/ω0 = 5/1) with centre of forcing close to the homoclinical orbit, the system shows period doubling to chaos at very small amplitudes. For low frequency forcing (ω/ω0 = 2/1), incomplete period doubling not leading to chaos is observed in some cases and the new period adding bifurcation is also uncovered for other cases. The interactions between different resonance horns are investigated and the resulting bistabilities are elucidated. Quantitative methods proved that the strange attractors encountered are chaotic with one positive Lyapunov exponent and a Lyapunov fractal dimension between 1 and 2. Elsevier Science 1997 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/51032/1/51032.pdf text en http://psasir.upm.edu.my/id/eprint/51032/7/1-s2.0-S0960077996001403-main.pdf Abashar, Mohamed E. E. and Elnashaie, Said Salah Eldin Hamed and Hughes, R. (1997) Homoclinicity in the dynamics of forced fluidized bed catalytic reactors. Chaos, Solitons & Fractals, 8 (10). pp. 1655-1684. ISSN 0960-0779; ESSN: 1873-2887 http://www.sciencedirect.com/science/article/pii/S0960077996001403?via%3Dihub 10.1016/S0960-0779(96)00140-3 |
| spellingShingle | Abashar, Mohamed E. E. Elnashaie, Said Salah Eldin Hamed Hughes, R. Homoclinicity in the dynamics of forced fluidized bed catalytic reactors |
| title | Homoclinicity in the dynamics of forced fluidized bed catalytic reactors |
| title_full | Homoclinicity in the dynamics of forced fluidized bed catalytic reactors |
| title_fullStr | Homoclinicity in the dynamics of forced fluidized bed catalytic reactors |
| title_full_unstemmed | Homoclinicity in the dynamics of forced fluidized bed catalytic reactors |
| title_short | Homoclinicity in the dynamics of forced fluidized bed catalytic reactors |
| title_sort | homoclinicity in the dynamics of forced fluidized bed catalytic reactors |
| url | http://psasir.upm.edu.my/id/eprint/51032/ http://psasir.upm.edu.my/id/eprint/51032/ http://psasir.upm.edu.my/id/eprint/51032/ http://psasir.upm.edu.my/id/eprint/51032/1/51032.pdf http://psasir.upm.edu.my/id/eprint/51032/7/1-s2.0-S0960077996001403-main.pdf |