Analytic integrability of certain resonant saddle
dc.contributor.author | Christopher, Colin | |
dc.contributor.author | Giné, J | |
dc.date.accessioned | 2022-02-15T10:13:29Z | |
dc.date.available | 2022-02-15T10:13:29Z | |
dc.date.issued | 2021-05 | |
dc.identifier.issn | 0960-0779 | |
dc.identifier.other | 110821 | |
dc.identifier.uri | http://hdl.handle.net/10026.1/18775 | |
dc.description.abstract |
We provide sufficient conditions of analytic integrability for a family of planar differential system with a p:−q resonant saddle at the origin. The conditions are then shown to be necessary in several finite dimensional families where the calculations can be performed explicitly. It is conjectured that the conditions are in fact complete for all families. Though the form of the equations is quite simple, their study merits further attention as they exhibit an interesting dichotomy between finite and arbitrary dimensional components of the center variety. | |
dc.format.extent | 110821-110821 | |
dc.language | en | |
dc.language.iso | en | |
dc.publisher | Elsevier | |
dc.title | Analytic integrability of certain resonant saddle | |
dc.type | journal-article | |
dc.type | Journal Article | |
plymouth.volume | 146 | |
plymouth.publication-status | Published | |
plymouth.journal | Chaos, Solitons and Fractals | |
dc.identifier.doi | 10.1016/j.chaos.2021.110821 | |
plymouth.organisational-group | /Plymouth | |
plymouth.organisational-group | /Plymouth/Faculty of Science and Engineering | |
plymouth.organisational-group | /Plymouth/Faculty of Science and Engineering/School of Engineering, Computing and Mathematics | |
plymouth.organisational-group | /Plymouth/REF 2021 Researchers by UoA | |
plymouth.organisational-group | /Plymouth/REF 2021 Researchers by UoA/EXTENDED UoA 10 - Mathematical Sciences | |
plymouth.organisational-group | /Plymouth/REF 2021 Researchers by UoA/UoA10 Mathematical Sciences | |
plymouth.organisational-group | /Plymouth/Users by role | |
plymouth.organisational-group | /Plymouth/Users by role/Academics | |
dcterms.dateAccepted | 2021-02-24 | |
dc.rights.embargodate | 2022-2-16 | |
dc.rights.embargoperiod | Not known | |
rioxxterms.versionofrecord | 10.1016/j.chaos.2021.110821 | |
rioxxterms.licenseref.uri | http://www.rioxx.net/licenses/all-rights-reserved | |
rioxxterms.licenseref.startdate | 2021-05 | |
rioxxterms.type | Journal Article/Review |