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Summing up the dynamics of quadratic Hamiltonian systems with a center |
Canad. J. Math. 49(1997), 583-599
Published:1997-06-01
Printed: Jun 1997
Printed: Jun 1997
- Janos Pal
- Dana Schlomiuk
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
$I_p(P,Q)$ 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.
| MSC Classifications: |
34C - unknown classification 34C 58F - unknown classification 58F |