On the C^1 non-integrability of differential systems via periodic orbits

dc.contributor.author
Llibre, Jaume
dc.contributor.author
Valls, Clàudia
dc.date.issued
2011
dc.identifier
https://ddd.uab.cat/record/150452
dc.identifier
urn:10.1017/S0956792511000143
dc.identifier
urn:oai:ddd.uab.cat:150452
dc.identifier
urn:gsduab:2761
dc.identifier
urn:recercauab:ARE-51894
dc.identifier
urn:scopus_id:79960109519
dc.identifier
urn:wos_id:000292052600006
dc.identifier
urn:oai:egreta.uab.cat:publications/8148144c-f8d4-4daf-9b00-687a18fb2fe8
dc.identifier
urn:articleid:09567925v22p381
dc.description.abstract
We go back to the results of Poincaré [Poincare, H (1891) Sur lintegration des equations differentielles du premier ordre et du premier degre I and II, Rendiconti del circolo matematico di Palermo5, 161-191] on the multipliers of a periodic orbit for proving the C1 non-integrability of differential systems. We apply these results to Lorenz, Rossler and Michelson systems, among others.
dc.format
application/pdf
dc.language
eng
dc.publisher
dc.relation
Ministerio de Economía y Competitividad MTM2008-03437
dc.relation
Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410
dc.relation
European Journal of Applied Mathematics ; Vol. 22 (2011), p. 381-391
dc.rights
open access
dc.rights
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dc.rights
https://rightsstatements.org/vocab/InC/1.0/
dc.title
On the C^1 non-integrability of differential systems via periodic orbits
dc.type
Article


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