Normal Forms, Bifurcations and Finiteness Problems in Differential Equations (Hardcover)

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.