Bifurcations of Planar Vector Fields and Hilbert's Sixteenth Problem

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Bifurcations of Planar Vector Fields and Hilbert's Sixteenth Problem

Bifurcations of Planar Vector Fields and Hilbert's Sixteenth Problem by Robert Roussarie
English | 19 May 1998 | ISBN: 3764359005 | 216 Pages | PDF | 15 MB

In a coherent, exhaustive and progressive way, this book presents the tools for studying local bifurcations of limit cycles in families of planar vector fields.




A systematic introduction is given to such methods as division of an analytic family of functions in its ideal of coefficients, and asymptotic expansion of non-differentiable return maps and desingularisation.

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Tags: Bifurcations, Planar, Vector, Fields, Hilbert, Sixteenth, Problem

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