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Polynomial differential systems with even degree have no global centers

  • Published:2021-11 Issue:1 Volume:503 Page:125281
  • ISSN:0022-247X
  • Container-title:Journal of Mathematical Analysis and Applications
  • language:en
  • Short-container-title:Journal of Mathematical Analysis and Applications

Author:

Llibre JaumeORCID,Valls Claudia

Funder

Foundation for Science and Technology

Ministry of Economic Affairs and Digital Transformation

European Research Council

Government of Catalonia Agency for Administration of University and Research Grants

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference9 articles.

1. Quadratic Hamiltonian vector fields;Artés;J. Differ. Equ.,1994

2. Corrigendum: quadratic Hamiltonian vector fields;Artés;J. Differ. Equ.,1996

3. Classification and analysis of two-dimensional real homogeneous quadratic differential equation systems;Date;J. Differ. Equ.,1979

4. Qualitative Theory of Planar Differential Systems;Dumortier,2006

5. New family of cubic Hamiltonian centers;Frías-Armenta;Bol. Soc. Mat. Mex. (3),2017

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1. Nilpotent global centers of generalized polynomial Kukles system with degree three;Proceedings of the American Mathematical Society;2024-07-31

2. Global nilpotent reversible centers with cubic nonlinearities symmetric with respect to the y-axis;Rendiconti del Circolo Matematico di Palermo Series 2;2024-05-10

3. Global centers of a class of cubic polynomial differential systems;Rendiconti del Circolo Matematico di Palermo Series 2;2024-04-25

4. Global Nilpotent Reversible Centers with Cubic Nonlinearities Symmetric with Respect to the x-Axis;Results in Mathematics;2024-04-13

5. Global centres in a class of quintic polynomial differential systems;Proceedings of the Royal Society of Edinburgh: Section A Mathematics;2024-04-11
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