Period function and normalizers of vector fields in Rn with n−1 first integrals

Journal of Differential Equations ◽

10.1016/j.jde.2008.01.002 ◽

2008 ◽

Vol 244 (6) ◽

pp. 1287-1303 ◽

Author(s):

D. Peralta-Salas

Keyword(s):

Vector Fields ◽

First Integrals ◽

Period Function

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Comment on “Period function and normalizers of vector fields in Rn with n−1 first integrals” by D. Peralta-Salas [J. Differential Equations 244 (6) (2008) 1287–1303]

Journal of Differential Equations ◽

10.1016/j.jde.2009.02.009 ◽

2009 ◽

Vol 246 (9) ◽

pp. 3750-3753 ◽

Author(s):

G.E. Prince

Keyword(s):

Differential Equations ◽

Vector Fields ◽

First Integrals ◽

Period Function

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Polynomial Vector Fields with Given Partial and First Integrals

Progress in Mathematics - Inverse Problems in Ordinary Differential Equations and Applications ◽

10.1007/978-3-319-26339-7_2 ◽

2016 ◽

pp. 41-85

Author(s):

Jaume Llibre ◽

Rafael Ramírez

Keyword(s):

Vector Fields ◽

First Integrals ◽

Polynomial Vector ◽

Polynomial Vector Fields

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Algebras of first integrals of finitely modal singularities of vector fields

Functional Analysis and Its Applications ◽

10.1007/bf01077269 ◽

1986 ◽

Vol 20 (2) ◽

pp. 130-131

Author(s):

R. I. Bogdanov

Keyword(s):

Vector Fields ◽

First Integrals

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On First Integrals for Holomorphic Vector Fields

Journal of Dynamical and Control Systems ◽

10.1007/s10883-017-9385-4 ◽

2017 ◽

Vol 24 (3) ◽

pp. 439-455

Author(s):

Jonny Ardila

Keyword(s):

Vector Fields ◽

First Integrals ◽

Holomorphic Vector Fields

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On the computation of Darboux first integrals of a class of planar polynomial vector fields

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2019.05.052 ◽

2019 ◽

Vol 478 (2) ◽

pp. 743-763

Author(s):

A. Ferragut ◽

C. Galindo ◽

F. Monserrat

Keyword(s):

Vector Fields ◽

First Integrals ◽

Polynomial Vector ◽

Polynomial Vector Fields ◽

Darboux First Integrals

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Symmetries and first integrals of divergence-free vector fields

International Journal of Non-Linear Mechanics ◽

10.1016/s0020-7462(99)00043-8 ◽

2000 ◽

Vol 35 (4) ◽

pp. 589-596 ◽

Author(s):

F.Gonzalez Gascon ◽

D.Peralta Salas

Keyword(s):

Vector Fields ◽

First Integrals ◽

Divergence Free Vector ◽

Divergence Free

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A note on first integrals of vector fields and endomorphisms

Boletim da Sociedade Brasileira de Matemática ◽

10.1007/bf02584693 ◽

1972 ◽

Vol 3 (2) ◽

pp. 127-132 ◽

Author(s):

Ricardo Mane

Keyword(s):

Vector Fields ◽

First Integrals

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Period function monotonicity of planar vector fields

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2008.05.021 ◽

2009 ◽

Vol 224 (1) ◽

pp. 405-414

Author(s):

Khalil I.T. Al-Dosary

Keyword(s):

Vector Fields ◽

Period Function ◽

Planar Vector Fields ◽

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Planar polynomial vector fields having first integrals and algebraic limit cycles

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2009.09.007 ◽

2010 ◽

Vol 361 (1) ◽

pp. 177-186 ◽

Author(s):

Jinlong Cao ◽

Haixia Jiang

Keyword(s):

Limit Cycles ◽

Vector Fields ◽

First Integrals ◽

Polynomial Vector ◽

Polynomial Vector Fields ◽

Algebraic Limit Cycles ◽

Algebraic Limit

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An efficient method for computing Liouvillian first integrals of planar polynomial vector fields

Journal of Differential Equations ◽

10.1016/j.jde.2021.07.045 ◽

2021 ◽

Vol 300 ◽

pp. 356-385

Author(s):

L.G.S. Duarte ◽

L.A.C.P. da Mota

Keyword(s):

Efficient Method ◽

Vector Fields ◽

First Integrals ◽

Polynomial Vector ◽

Polynomial Vector Fields

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