Linear type global centers of cubic Hamiltonian systems symmetric with respect to the x-axis

Author:

Barreira Luis,Llibre Jaume,Valls Claudia

Abstract

A polynomial differential system of degree 2 has no global centers (that is, centers defined in all the plane except the fixed point). In this paper we characterize the global centers of cubic Hamiltonian systems symmetric with respect to the x-axis, and such that the center has purely imaginary eigenvalues. For more information see https://ejde.math.txstate.edu/Volumes/2020/57/abstr.html

Publisher

Texas State University

Subject

Analysis

Reference11 articles.

1. J. C. Artés, J. Llibre. N. Vulpe; Complete geometric invariant study of two classes of quadratic systems, Electronic J. Differential Equations 2012 (2012), No. 9, pp. 1-35.

2. F. Dumortier, J. Llibre, J.C. Art'es; Qualitative Theory of Planar Differential Systems, Springer Verlag, New York, 2006.

3. A. Cima, J. Llibre; Algebraic and topological classification of the homogeneous cubic vector fields in the plane, J. Math. Anal. and Appl. 147 (1990), 420-448. https://doi.org/10.1016/0022-247X(90)90359-N

4. H. Dulac; Détermination et integartion d'une certaine classe d'équations différentielle ayant par point singulier un centre, Bull. Sci. Math. 32 (1908), 230-252.

5. W. P. Li, J. Llibre, J. Yang, Z. Zhang; Limit cycles bifurcating from the period annulus of quasihomogeneous centers, J. Dynam. Differential Equations 21 (2009), 133-152. https://doi.org/10.1007/s10884-008-9126-1

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