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Analytic integrability of quadratic–linear polynomial differential systems

Published online by Cambridge University Press:  04 November 2009

JAUME LLIBRE  and
CLÀUDIA VALLS
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, Av. Rovisco Pais 1049-001, Lisboa, Portugal (email: cvalls@math.ist.utl.pt)
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Abstract

For the quadratic–linear polynomial differential systems with a finite singular point, we classify the ones which have a global analytic first integral, and provide the explicit expression of their first integrals.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 31 , Issue 1 , February 2011 , pp. 245 - 258
Copyright
Copyright © Cambridge University Press 2009

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