Integrability and solvability of polynomial Liénard differential systems (Q6089555)

scientific article; zbMATH DE number 7778774

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English	Integrability and solvability of polynomial Liénard differential systems	scientific article; zbMATH DE number 7778774

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instance of

scholarly article

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title

Integrability and solvability of polynomial Liénard differential systems (English)

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author

Maria V. Demina

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published in

Studies in Applied Mathematics

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publication date

15 December 2023

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full work available at URL

https://arxiv.org/abs/2110.14306

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zbMATH Keywords

Darboux integrability

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invariant algebraic curves

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Liénard differential systems

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Liouvillian integrability

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Puiseux series

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MaRDI profile type

MaRDI publication profile

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cites work

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The generalized Liénard polynomial differential systems \(x^\prime = y\), \(y^\prime = - g(x) - f(x) y\) with \(\deg g = \deg f + 1\) are not Liouvillian integrable

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Generalized cofactors and nonlinear superposition principles

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Identifiers

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6089555