2017•Dynamical SystemsOpen access

Phase portraits of Abel quadratic differential systems of the second kind

Antoni Ferragut, Clàudìa Valls

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Abstract

We provide normal forms and the global phase portraits on the Poincaré disk of some Abel quadratic differential equations of the second kind. Moreover, we also provide the bifurcation diagrams for these global phase portraits.

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What this paper is about

We provide normal forms and the global phase portraits on the Poincaré disk of some Abel quadratic differential equations of the second kind. Moreover, we also provide the bifurcation diagrams for these global phase portraits.

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Available abstract

We provide normal forms and the global phase portraits on the Poincaré disk of some Abel quadratic differential equations of the second kind. Moreover, we also provide the bifurcation diagrams for these global phase portraits.

Key concepts: Phase portrait, Quadratic differential, Portrait, Quadratic equation, Bifurcation, Mathematics, Differential (mechanical device), Mathematical analysis

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