| Author | : S. Yakovenko |
| File Size | : 48,9 Mb |
| Publisher | : American Mathematical Soc. |
| Language | : English |
| Release Date | : 18 April 1995 |
| ISBN | : 082180362X |
| Pages | : 244 pages |
Download or read online Concerning the Hilbert 16th Problem written by S. Yakovenko, published by American Mathematical Soc. which was released on 1995. Get Concerning the Hilbert 16th Problem Books now! Available in PDF, ePub and Kindle.
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This book examines qualitative properties of vector fields in the plane, in the spirit of Hilbert's Sixteenth Problem. Two principal topics explored are bifurcations of limit cycles of planar vector fields and desingularization of singular points for individual vector fields and for analytic families of such fields. In addition to
Get BookTranslations of articles on mathematics appearing in various Russian mathematical serials.
Get BookThe 16th Problem of Hilbert is one of the most famous remaining unsolved problems of mathematics. It concerns whether a polynomial vector field on the plane has a finite number of limit cycles. There is a strong connection with divergent solutions of differential equations, where a central role is played
Get BookOn the 8th of August 1900 outstanding German mathematician David Hilbert delivered a talk "Mathematical problems" at the Second Interna tional Congress of Mathematicians in Paris. The talk covered practically all directions of mathematical thought of that time and contained a list of 23 problems which determined the further development of mathema
Get BookIn 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
Get Book
This book examines qualitative properties of vector fields in the plane, in the spirit of Hilbert's Sixteenth Problem. Two principal topics explored are bifurcations of limit cycles of planar vector fields and desingularization of singular points for individual vector fields and for analytic families of such fields. In addition to
Get BookIn 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
Get Book