Collective escape and homoclinic bifurcation phenomena in a nonlinear oscillators chain
The phenomenon of deterministic collective escape of particles from the cubic on-site potential well in the presence of both uniform damping and a periodic force is studied. Using analytical techniques such as the separation of time and space as well as the Melnikov theorem, the condition on the per...
| Autores principales: | , , , |
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| Formato: | Journal Article |
| Lenguaje: | Inglés |
| Publicado: |
Elsevier
2022
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| Materias: | |
| Acceso en línea: | https://hdl.handle.net/10568/126706 |
| _version_ | 1855517692515057664 |
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| author | Foudjio, Michael Mekontchou Ndjomatchoua, Frank T. Gninzanlong, Carlos Lawrence Tchawoua, Clément |
| author_browse | Foudjio, Michael Mekontchou Gninzanlong, Carlos Lawrence Ndjomatchoua, Frank T. Tchawoua, Clément |
| author_facet | Foudjio, Michael Mekontchou Ndjomatchoua, Frank T. Gninzanlong, Carlos Lawrence Tchawoua, Clément |
| author_sort | Foudjio, Michael Mekontchou |
| collection | Repository of Agricultural Research Outputs (CGSpace) |
| description | The phenomenon of deterministic collective escape of particles from the cubic on-site potential well in the presence of both uniform damping and a periodic force is studied. Using analytical techniques such as the separation of time and space as well as the Melnikov theorem, the condition on the periodic force for which a single particle exhibits an irregular motion induced by the homoclinic bifurcation (HB) is derived. Numerical simulation showed that this irregular motion can lead to a strong localization of energy on all the coupled particles allowing them to collectively cross the energy barrier. Moreover, the critical value of the driving force inducing collective escape increases as the potential energy barrier increases and decreases as its frequency increases. Depending on the frequency range of the driving frequency, the collective escape and HB can occur simultaneously; otherwise, the HB prevails. |
| format | Journal Article |
| id | CGSpace126706 |
| institution | CGIAR Consortium |
| language | Inglés |
| publishDate | 2022 |
| publishDateRange | 2022 |
| publishDateSort | 2022 |
| publisher | Elsevier |
| publisherStr | Elsevier |
| record_format | dspace |
| spelling | CGSpace1267062025-10-26T13:01:23Z Collective escape and homoclinic bifurcation phenomena in a nonlinear oscillators chain Foudjio, Michael Mekontchou Ndjomatchoua, Frank T. Gninzanlong, Carlos Lawrence Tchawoua, Clément mathematical models rice numerical analysis The phenomenon of deterministic collective escape of particles from the cubic on-site potential well in the presence of both uniform damping and a periodic force is studied. Using analytical techniques such as the separation of time and space as well as the Melnikov theorem, the condition on the periodic force for which a single particle exhibits an irregular motion induced by the homoclinic bifurcation (HB) is derived. Numerical simulation showed that this irregular motion can lead to a strong localization of energy on all the coupled particles allowing them to collectively cross the energy barrier. Moreover, the critical value of the driving force inducing collective escape increases as the potential energy barrier increases and decreases as its frequency increases. Depending on the frequency range of the driving frequency, the collective escape and HB can occur simultaneously; otherwise, the HB prevails. 2022-11 2023-01-09T10:10:34Z 2023-01-09T10:10:34Z Journal Article https://hdl.handle.net/10568/126706 en Limited Access Elsevier Foudjio, Michael Mekontchou, Ndjomatchoua, Frank Thomas, Gninzanlong, Carlos Lawrence and Tchawoua, Clément. 2022. Collective escape and homoclinic bifurcation phenomena in a nonlinear oscillators chain. Communications in Nonlinear Science and Numerical Simulation 114:106690. |
| spellingShingle | mathematical models rice numerical analysis Foudjio, Michael Mekontchou Ndjomatchoua, Frank T. Gninzanlong, Carlos Lawrence Tchawoua, Clément Collective escape and homoclinic bifurcation phenomena in a nonlinear oscillators chain |
| title | Collective escape and homoclinic bifurcation phenomena in a nonlinear oscillators chain |
| title_full | Collective escape and homoclinic bifurcation phenomena in a nonlinear oscillators chain |
| title_fullStr | Collective escape and homoclinic bifurcation phenomena in a nonlinear oscillators chain |
| title_full_unstemmed | Collective escape and homoclinic bifurcation phenomena in a nonlinear oscillators chain |
| title_short | Collective escape and homoclinic bifurcation phenomena in a nonlinear oscillators chain |
| title_sort | collective escape and homoclinic bifurcation phenomena in a nonlinear oscillators chain |
| topic | mathematical models rice numerical analysis |
| url | https://hdl.handle.net/10568/126706 |
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