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1 results

  • Summing up the Dynamics of Quadratic Hamiltonian Systems With a Center

  • Janos Pal, Dana Schlomiuk
  • Journal:
    Canadian Journal of Mathematics / Volume 49 / Issue 3 / 01 June 1997
    Published online by Cambridge University Press:
    20 November 2018, pp. 582-599
    Print publication:
    01 June 1997
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  • 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.