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On connections of the Liénard equation with some equations of Painlevé-Gambier type - MaRDI portal

On connections of the Liénard equation with some equations of Painlevé-Gambier type (Q509005)

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English	On connections of the Liénard equation with some equations of Painlevé-Gambier type	scientific article

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scholarly article

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On connections of the Liénard equation with some equations of Painlevé-Gambier type (English)

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Nikolay A. Kudryashov

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Dmitry I. Sinelshchikov

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Journal of Mathematical Analysis and Applications

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publication date

8 February 2017

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full work available at URL

https://arxiv.org/abs/1701.08379

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zbMATH Keywords

Liénard equation

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analytical solution

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Sundman transformation

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Painlevé-Gambier classification

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MaRDI profile type

MaRDI publication profile

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Nonlinear oscillations, dynamical systems, and bifurcations of vector fields

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On the qualitative behaviour of solutions of Liénard equation

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A note on existence and uniqueness of limit cycles for Liénard systems

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Solution and asymptotic/blow-up behaviour of a class of nonlinear dissipative systems

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A group theoretical identification of integrable cases of the Liénard-type equation ẍ+f(x)ẋ+g(x)=. I. Equations having nonmaximal number of Lie point symmetries

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A group theoretical identification of integrable equations in the Liénard-type equation ẍ+f(x)ẋ+g(x)=. II. Equations having maximal Lie point symmetries

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On the complete integrability and linearization of certain second-order nonlinear ordinary differential equations

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Linearization of third-order ordinary differential equations by generalized Sundman transformations: the case

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Application of the Generalised Sundman Transformation to the Linearisation of Two Second-Order Ordinary Differential Equations

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On the criteria for integrability of the Liénard equation

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Integrable dissipative nonlinear second order differential equations via factorizations and Abel equations

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A class of exact solutions of the Liénard-type ordinary nonlinear differential equation

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Analytical solutions of the Rayleigh equation for empty and gas-filled bubble

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On the connection of the quadratic Liénard equation with an equation for the elliptic functions

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On the period function of \(x^{\prime\prime}+f(x)x^{\prime2}+g(x)=0\)

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Quantization of quadratic Liénard-type equations by preserving Noether symmetries

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Identifiers

zbMATH Open document ID

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10.1016/j.jmaa.2016.12.068

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:509005

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