Normal Forms, Bifurcations and Finiteness Problems in Differential Equations
Normal Forms, Bifurcations and Finiteness Problems in Differential Equations
复制标题
微分方程中的范式、分岔和有限性问题
DOI：
10.1007/978-94-007-1025-2
复制
发表时间：
2004
影响因子：
0.9
通讯作者：
G. Sabidussi
中科院分区：
文献类型：
--
作者：
Y. Ilyashenko;C. Rousseau;G. Sabidussi
序言。组合图片键。参与者贡献者。Abel积分与极限环的关系。考贝格河你好向量场的奇异性与分叉。Dumortier，P. de Maesschalck.发散和奇点分析的最新进展。极限环的局部分支，Abel方程和Lienard系统J. -弗朗索瓦丝计算的复杂性与Pfweian和诺特函数A。Gabrielov，N.沃罗布约夫哈密尔顿分支和局部解析分类。奇点与斯托克斯现象的汇合。格劳克弛豫振荡的分叉。真实的和复时微分方程专题。伊利亚申科周期点数的增长率V. Yu。卡洛申向量场C的规范形、分支和有限性。卢梭平面多项式向量场的几个方面：整体与局部，真实的与复数，解析与代数和几何D。Schlomiuk。指数.
Preface. Key to group picture. Participants. Contributors. Relations between Abelian integrals and limit cycles M. Caubergh, R. Roussarie. Topics on singularities and bifurcations of vector fields F. Dumortier, P. de Maesschalck. Recent advances in the analysis of divergence and singularities J. Ecalle. Local bifurcations of limit cycles, Abel equations and Lienard systems J.-P. Francoise. Complexity of computations with Pfaffian and Noetherian functions A. Gabrielov, N. Vorobjov. Hamiltonian bifurcations and local analytic classification V. Gelfreich. Confluence of singular points and Stokes phenomena A. Glutsyuk. Bifurcations of relaxation oscillations J. Guckenheimer. Selected topics in differential equations with real and complex time Y. Ilyashenko. Growth rate of the number of periodic points V.Yu. Kaloshin. Normal forms, bifurcations and finiteness properties of vector fields C. Rousseau. Aspects of planar polynomial vector fields: global versus local, real versus complex, analytic versus algebraic and geometric D. Schlomiuk. Index.