Summing up the Dynamics of Quadratic Hamiltonian Systems With a Center

Pal, Janos ; Schlomiuk, Dana

Canadian journal of mathematics, Tome 49 (1997) no. 3, pp. 582-599

Résumé

In this work we study the global geometry of planar quadratic Hamiltonian systems with a center and we sum up the dynamics of these systems in geometrical terms. For this we use the algebro-geometric concept of multiplicity of intersection Ip (P,Q) of two complex projective curves P(x, y, z) = 0, Q(x,y,z) = 0 at a point p of the plane. This is a convenient concept when studying polynomial systems and it could be applied for the analysis of other classes of nonlinear systems.

Détail

DOI : 10.4153/CJM-1997-027-0

Mots-clés : 34C, 58F

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