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Titlebook: Global Bifurcation Theory and Hilbert’s Sixteenth Problem; Valery A. Gaiko Book 2003 Springer Science+Business Media New York 2003 differe

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Radiation Experimental Results,rko for two-dimensional analytic systems, to the study of global bifurcations of multiple limit cycles in polynomial systems. There is a quite definite number of field-rotation parameters determining the bifurcations of multiple limit cycles in the polynomial systems, and in some cases, for example,
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Book 2003ss 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 tics in many respects (1, 119]. Hilbert‘s Sixteenth Problem (the second part) was stated as follows
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Radiation Experimental Results, obtained results and applying the Wintner-Perko termination principle for multiple limit cycles, we suggest a new (global) approach to the solution of Hilbert’s Sixteenth Problem in the case of quadratic systems. This approach can be applied also to cubic and more general polynomial systems.
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