On the Global Nilpotent Centers of Cubic Polynomial Hamiltonian Systems

A global center for a vector field in the plane is a singular point p having R 2 filled of periodic orbits with the exception of the singular point p . Polynomial differential systems of degree 2 have no global centers. In this paper we classify the global nilpotent centers of planar cubic polynomia...

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Bibliographic Details
Published inDifferential equations and dynamical systems Vol. 32; no. 4; pp. 1001 - 1011
Main Authors Barreira, Luis, Llibre, Jaume, Valls, Clàudia
Format Journal Article
LanguageEnglish
Published New Delhi Springer India 01.10.2024
Springer Nature B.V
Subjects
Computer Science
Engineering
Fields (mathematics)
Hamiltonian functions
Mathematics
Mathematics and Statistics
Orbits
Original Research
Polynomials
34C05
Center
Global center
Symmetry with respect to the
Hamiltonian system
axis
34C08
34C07
Cubic polynomial differential system
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Summary:A global center for a vector field in the plane is a singular point p having R 2 filled of periodic orbits with the exception of the singular point p . Polynomial differential systems of degree 2 have no global centers. In this paper we classify the global nilpotent centers of planar cubic polynomial Hamiltonian systems symmetric with respect to the y -axis.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0971-3514
0974-6870
DOI:10.1007/s12591-022-00606-x