Concerning the Hilbert 16th Problem (ADVANCES IN THE MATHEMATICAL SCIENCES, 23) - Hardcover

Inhaltsangabe

Six papers consider qualitative properties of vector fields on the plane, particularly bifurcations of limit cycles of planar vector fields and the desingularization of singular points for individual vector fields and for analytic families of such fields. An introduction to Hilbert's sixteenth problem is followed by discussions of the finite cyclicity of elementary polycycles in generic families, desingularization in families of analytic differential equations, the order of the topologically sufficient jet of a smooth vector field on the real plane at a singular point of finite multiplicity, few-parameter generic families of vector fields on the two-dimensional sphere, and geometric proof of the Bautin theorem. No index. Annotation copyright Book News, Inc. Portland, Or.

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