Validated computations for connecting orbits in polynomial vector fields

Indagationes Mathematicae ◽

10.1016/j.indag.2020.01.007 ◽

2020 ◽

Vol 31 (2) ◽

pp. 310-373

Author(s):

Jan Bouwe van den Berg ◽

Ray Sheombarsing

Keyword(s):

Vector Fields ◽

Polynomial Vector ◽

Polynomial Vector Fields ◽

Connecting Orbits

Download Full-text

Limit cycles of three-dimensional polynomial vector fields

Nonlinearity ◽

10.1088/0951-7715/18/1/010 ◽

2004 ◽

Vol 18 (1) ◽

pp. 175-209 ◽

Author(s):

Marcin Bobie ski ◽

Henryk o a dek

Keyword(s):

Limit Cycles ◽

Vector Fields ◽

Three Dimensional ◽

Polynomial Vector ◽

Polynomial Vector Fields

Download Full-text

Configurations of limit cycles and planar polynomial vector fields

Journal of Differential Equations ◽

10.1016/j.jde.2003.10.008 ◽

2004 ◽

Vol 198 (2) ◽

pp. 374-380 ◽

Author(s):

Jaume Llibre ◽

Gerardo Rodrı́guez

Keyword(s):

Limit Cycles ◽

Vector Fields ◽

Polynomial Vector ◽

Polynomial Vector Fields

Download Full-text

Centers for a 6-parameter family of polynomial vector fields of arbitrary degree

Bulletin des Sciences Mathématiques ◽

10.1016/j.bulsci.2007.06.002 ◽

2008 ◽

Vol 132 (1) ◽

pp. 40-53

Author(s):

Jaume Llibre ◽

Clàudia Valls

Keyword(s):

Vector Fields ◽

Parameter Family ◽

Polynomial Vector ◽

Polynomial Vector Fields ◽

Arbitrary Degree

Download Full-text

On polynomial vector fields having a given affine variety as attractive and invariant set: application to robotics

International Journal of Control ◽

10.1080/00207179.2014.991941 ◽

2015 ◽

pp. 1-25 ◽

Author(s):

Corrado Possieri ◽

Antonio Tornambè

Keyword(s):

Vector Fields ◽

Invariant Set ◽

Affine Variety ◽

Polynomial Vector ◽

Polynomial Vector Fields

Download Full-text

Essential perturbations of polynomial vector fields with a period annulus

Communications on Pure and Applied Analysis ◽

10.3934/cpaa.2015.14.1073 ◽

2015 ◽

Vol 14 (3) ◽

pp. 1073-1095 ◽

Author(s):

Adriana Buică ◽

Jaume Giné ◽

Maite Grau

Keyword(s):

Vector Fields ◽

Polynomial Vector ◽

Polynomial Vector Fields ◽

Download Full-text

Multiplicity of polynomials on trajectories of polynomial vector fields in $C^3$

Banach Center Publications ◽

10.4064/-44-1-109-121 ◽

1998 ◽

Vol 44 (1) ◽

pp. 109-121 ◽

Author(s):

Andrei Gabrielov ◽

Frédéric Jean ◽

Jean-Jacques Risler

Keyword(s):

Vector Fields ◽

Polynomial Vector ◽

Polynomial Vector Fields

Download Full-text

Algebraic and Geometric Aspects of the Theory of Polynomial Vector Fields

Bifurcations and Periodic Orbits of Vector Fields ◽

10.1007/978-94-015-8238-4_10 ◽

1993 ◽

pp. 429-467 ◽

Author(s):

Dana Schlomiuk

Keyword(s):

Vector Fields ◽

Polynomial Vector ◽

Polynomial Vector Fields

Download Full-text

Invariant theory of planar polynomial vector fields

Geometric Configurations of Singularities of Planar Polynomial Differential Systems ◽

10.1007/978-3-030-50570-7_5 ◽

2021 ◽

pp. 99-132

Author(s):

Joan C. Artés ◽

Jaume Llibre ◽

Dana Schlomiuk ◽

Nicolae Vulpe

Keyword(s):

Invariant Theory ◽

Vector Fields ◽

Polynomial Vector ◽

Polynomial Vector Fields

Download Full-text

On the inverse problems of the polynomial vector fields in ℝ3

Journal of Interdisciplinary Mathematics ◽

10.1080/09720502.2020.1781885 ◽

2020 ◽

Vol 23 (8) ◽

pp. 1585-1599

Author(s):

Najmeh Khajoei ◽

Mohammad Reza Molaei

Keyword(s):

Inverse Problems ◽

Vector Fields ◽

Polynomial Vector ◽

Polynomial Vector Fields

Download Full-text

On the Center Problem for $p:-q$ Resonant Polynomial Vector Fields

Bulletin of the Belgian Mathematical Society - Simon Stevin ◽

10.36045/bbms/1228486413 ◽

2008 ◽

Vol 15 (5) ◽

pp. 871-887 ◽

Author(s):

Valery G. Romanovski ◽

Douglas S. Shafer

Keyword(s):

Vector Fields ◽

Center Problem ◽

Polynomial Vector ◽

Polynomial Vector Fields

Download Full-text