On the Global Nilpotent Centers of Cubic Polynomial Hamiltonian Systems

Author:

Barreira LuisORCID,Llibre Jaume,Valls Clàudia

Funder

Fundação para a Ciência e a Tecnologia

Agencia Estatal de Investigación

H2020 Excellent Science

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Reference17 articles.

1. Artés, J.C., Llibre, J., Vulpe, N.: Complete geometric invariant study of two classes of quadratic systems. Electron. J. Differ. Equ. 2012(9), 1–35 (2012)

2. Barreira, L., Llibre, J., Valls, C.: Linear type global centers of cubic Hamiltonian systems symmetric with respect to the x-axis Electron. J. Different. Equ. 57, 14 (2020)

3. Cima, A., Llibre, J.: Algebraic and topological classification of the homogeneous cubic vector fields in the plane. J. Math. Anal. Appl. 147, 420–448 (1990)

4. Colak, I.E., Llibre, J., Valls, C.: Hamiltonian nilpotent centers of linear plus cubic homogeneous polynomial vector fields. Adv. Math. 259, 655–687 (2014)

5. Dias, F.S., Llibre, J., Valls, C.: Polynomial Hamiltonian systems of degree $$3$$ with symmetric nilpotent centers. Math. Comput. Simul. 144, 60–77 (2018)

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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 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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