Collective escape and homoclinic bifurcation phenomena in a nonlinear oscillators chain

cg.authorship.typesCGIAR and developing country instituteen
cg.contributor.affiliationUniversité de Yaoundé Ien
cg.contributor.affiliationInternational Rice Research Instituteen
cg.contributor.donorCGIAR Trust Funden
cg.contributor.initiativeAccelerated Breeding
cg.creator.identifierMichael MEKONTCHOU FOUDJIO: 0000-0002-0580-1152
cg.creator.identifierFrank Ndjomatchoua: 0000-0001-8435-6167
cg.howPublishedFormally Publisheden
cg.identifier.doihttps://doi.org/10.1016/j.cnsns.2022.106690en
cg.isijournalISI Journalen
cg.issn1878-7274en
cg.journalCommunications in Nonlinear Science and Numerical Simulationen
cg.reviewStatusPeer Reviewen
cg.subject.actionAreaGenetic Innovation
cg.subject.impactAreaNutrition, health and food security
cg.volume114en
dc.contributor.authorFoudjio, Michael Mekontchouen
dc.contributor.authorNdjomatchoua, Frank T.en
dc.contributor.authorGninzanlong, Carlos Lawrenceen
dc.contributor.authorTchawoua, Clémenten
dc.date.accessioned2023-01-09T10:10:34Zen
dc.date.available2023-01-09T10:10:34Zen
dc.identifier.urihttps://hdl.handle.net/10568/126706
dc.titleCollective escape and homoclinic bifurcation phenomena in a nonlinear oscillators chainen
dcterms.abstractThe 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.en
dcterms.accessRightsLimited Access
dcterms.audienceAcademicsen
dcterms.audienceCGIARen
dcterms.audienceDevelopment Practitionersen
dcterms.audienceDonorsen
dcterms.audienceExtensionen
dcterms.audienceFarmersen
dcterms.audienceGeneral Publicen
dcterms.audienceNGOsen
dcterms.audiencePolicy Makersen
dcterms.audienceScientistsen
dcterms.bibliographicCitationFoudjio, 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.en
dcterms.extent106690en
dcterms.issued2022-11
dcterms.languageen
dcterms.licenseCopyrighted; Non-commercial educational use only
dcterms.publisherElsevieren
dcterms.subjectmathematical modelsen
dcterms.subjectriceen
dcterms.subjectnumerical analysisen
dcterms.typeJournal Article

Files

License bundle

Now showing 1 - 1 of 1
Loading...
Thumbnail Image
Name:
license.txt
Size:
1.75 KB
Format:
Item-specific license agreed upon to submission
Description: