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Global Phase Portraits for the Abel Quadratic Polynomial Differential Equations of the Second Kind With Z2-symmetries

Published online by Cambridge University Press:  20 November 2018

Jaume Llibre  and
Claudia Valls
Jaume Llibre
Affiliation:
Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Catalonia, Spain, e-mail: jllibre@mat.uab.cat
Claudia Valls
Affiliation:
Departamento de Matemática, Instituto Superior Técnico, Universidade Técnica de Lisboa, Av. Rovisco Pais 1049–001, Lisboa, Portugal, e-mail: cvalls@math.ist.utl.pt
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Abstract

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We provide normal forms and the global phase portraits on the Poincaré disk for all Abel quadratic polynomial diòerential equations of the second kind with ${{\mathbb{Z}}_{2}}$-symmetries.

Keywords

37J3537K10Abel polynomial differential system of the second kindvector fieldphase portrait
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 61 , Issue 1 , 01 March 2018 , pp. 149 - 165
Copyright
Copyright © Canadian Mathematical Society 2018

References

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