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Titlebook: Bifurcations of Planar Vector Fields and Hilbert‘s Sixteenth Problem; Robert Roussarie Book 1998 Springer Basel 1998 bifurcation diagrams.

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發(fā)表于 2025-3-21 20:04:44 | 只看該作者 |倒序瀏覽 |閱讀模式
期刊全稱Bifurcations of Planar Vector Fields and Hilbert‘s Sixteenth Problem
影響因子2023Robert Roussarie
視頻videohttp://file.papertrans.cn/186/185546/185546.mp4
發(fā)行地址Presents tools for studying local bifurcations of limit cycles in families of planar vector fields.Provides systematic introduction to classical analytic geometric methods applied to regular limit per
學(xué)科分類Modern Birkh?user Classics
圖書封面Titlebook: Bifurcations of Planar Vector Fields and Hilbert‘s Sixteenth Problem;  Robert Roussarie Book 1998 Springer Basel 1998 bifurcation diagrams.
影響因子.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. The exposition moves from classical analytic geometric methods applied to regular limit periodic sets to more recent tools for singular limit sets..The methods can be applied to theoretical problems such as Hilbert‘s 16th problem, but also for the purpose of establishing bifurcation diagrams of specific families as well as explicit computations..- - -.The book as a whole is a?well-balanced exposition that can be recommended to all those who want to gain a thorough understanding and proficiency in the?recently developed methods. The book, reflecting the current?state of the art, can also be used for teaching special courses.. .(Mathematical Reviews).
Pindex Book 1998
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Modern Birkh?user Classicshttp://image.papertrans.cn/b/image/185546.jpg
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https://doi.org/10.1007/978-3-0348-8798-4bifurcation diagrams; desingularization theory; differential equations; dynamical systems; limit cycles;
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Laser angioplasty—technical aspectsIn the study of the Bogdanov-Takens unfolding, we introduced in 4.3.5.2 the following formulas of rescaling in the phase-space and in the parameter space:
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Bifurcations of Elementary Graphics,After the regular limit periodic sets, the simplest limit periodic sets are the .
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