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Algebraic integrability of nilpotent planar vector fields (Q2131697)

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Language	Label	Description	Also known as
English	Algebraic integrability of nilpotent planar vector fields	scientific article

Statements

scholarly article

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Algebraic integrability of nilpotent planar vector fields (English)

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Chaos, Solitons and Fractals

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publication date

26 April 2022

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full work available at URL

http://hdl.handle.net/10272/20445

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Cristóbal García

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MaRDI profile type

MaRDI publication profile

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The integrability problem for a class of planar systems

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Analytic integrability around a nilpotent singularity: the non-generic case

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Analytic integrability around a nilpotent singularity

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The center problem for \(\mathbb{Z}_2\)-symmetric nilpotent vector fields

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Quasi-homogeneous linearization of degenerate vector fields

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Invariant curves and analytic integrability of a planar vector field

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Integrability of two dimensional quasi-homogeneous polynomial differential systems

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Nilpotent systems admitting an algebraic inverse integrating factor over \(\mathbb{C}((x,y))\)

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Nilpotent centers of cubic systems

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The center-focus problem for a system with homogeneous nonlinearities in the case of zero eigenvalues of the linear part

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Reversibility and classification of nilpotent centers

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Local analytic integrability for nilpotent centers

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Generalized rational first integrals of analytic differential systems

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Nilpotent centers of a cubic system reducible to a nonlinear vibration system

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On non-integrability of general systems of differential equations

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Analytic nilpotent centers with analytic first integral

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Analytic nilpotent centers as limits of nondegenerate centers revisited

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The problem of distinguishing between a center and a focus for nilpotent and degenerate analytic systems

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Integrability, partial integrability, and nonintegrability for systems of ordinary differential equations

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NEW STUDY ON THE CENTER PROBLEM AND BIFURCATIONS OF LIMIT CYCLES FOR THE LYAPUNOV SYSTEM (II)

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Planar analytic vector fields with generalized rational first integrals

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Local Darboux first integrals of analytic differential systems

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Stability of motion

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On the nonexistence of rational first integrals for systems of linear differential equations

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Elementary First Integrals of Differential Equations

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Center-focus problem for analytic systems with nonzero linear part

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On the nonexistence of rational first integrals for nonlinear systems and semiquasihomogeneous systems

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Necessary condition for the existence of algebraic first integrals

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.CHAOS.2021.110765

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Sitelinks

Mathematics(1 entry)

mardi Publication:2131697

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