Summing up the Dynamics of Quadratic Hamiltonian Systems With a Center
- 1 June 1997
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 49 (3), 582-599
- https://doi.org/10.4153/cjm-1997-027-0
Abstract
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.Keywords
This publication has 1 reference indexed in Scilit:
- Complex Algebraic CurvesPublished by Cambridge University Press (CUP) ,1992