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On the local analytic integrability at the singular point of a class of Liénard analytic differential systems
Author(s):
Jaume
Llibre;
Clàudia
Valls
Journal:
Proc. Amer. Math. Soc.
138
(2010),
253-261.
MSC (2000):
Primary 34C05, 34A34, 34C14
Posted:
August 19, 2009
MathSciNet review:
2550190
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Abstract:
We consider the Liénard analytic differential systems  ,  , with  and  an analytic function. Then for such systems we characterize the existence of local analytic first integrals in a neighborhood of the singular point located at the origin.
References:
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Additional Information:
Jaume
Llibre
Affiliation:
Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Catalonia, Spain
Email:
jllibre@mat.uab.cat
Clàudia
Valls
Affiliation:
Departamento de Matemática, Instituto Superior Técnico, 1049-001 Lisboa, Portugal
Email:
cvalls@math.ist.utl.pt
DOI:
10.1090/S0002-9939-09-10036-9
PII:
S 0002-9939(09)10036-9
Keywords:
Analytic integrability,
local analytic integrability,
Li\'{e}nard differential system
Received by editor(s):
February 21, 2009,
Received by editor(s) in revised form:
April 30, 2009
Posted:
August 19, 2009
Communicated by:
Yingfei Yi
Copyright of article:
Copyright
2009,
American Mathematical Society
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