T-comitants and the Problem of a Center for Quadratic Differential Systems

Details T-comitants and the Problem of a Center for Quadratic Differential Systems T-comitants and the Problem of a Center for Quadratic Differential Systems

1999-03-22

arxiv.org/abs/math/9903125v1

Mathematics

Dynamical Systems

38 pages, no figures

Scientific paper

The new necessary and sufficient affine invariant conditions for the
existence and for determining the number of centers for general quadratic
system are pointed out. These conditions correspond to the partition of
12-dimensional coefficient space of indicated system with respect to the number
and the multiplicity of its finite critical points.

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