On the analytic integrability of the Liénard analytic differential systems | Zendy

Clàudìa Valls | Zendy; Jaume Llibre | Zendy

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On the analytic integrability of the Liénard analytic differential systems

Author(s) -

Clàudìa Valls,

Jaume Llibre

Publication year - 2015

Publication title -

discrete and continuous dynamical systems - b

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.864

H-Index - 53

eISSN - 1553-524X

pISSN - 1531-3492

DOI - 10.3934/dcdsb.2016.21.557

Subject(s) - differential (mechanical device) , analytic function , mathematics , singular point of a curve , analytic element method , pure mathematics , point (geometry) , mathematical analysis , mathematical physics , physics , geometry , thermodynamics , finite element method

Agraïments: The second author is supported by Portuguese National Funds through FCT - Fundaçâo para a Ciência e a Tecnologia trough UID/MAT/04459/20We consider the Liénard analytic differential systems x = y, y =-g(x) -f(x)y, where f,g: R R are analytic functions and the origin is an isolated singular point. Then for such systems we characterize the existence of local analytic first integrals in a neighborhood of the origin and the existence of global analytic first integrals

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