Using a computational algebra approach, this comprehensive text addresses the center and cyclicity problems as behaviors of dynamical systems and families of polynomial systems. The book gives the main properties of ideals in polynomial rings and their affine varieties followed by a discussion on the theory of normal forms and stability of differential equations. It contains numerous examples, pseudocode displays of all the computational algorithms, historical notes, nearly two hundred exercises, and an extensive bibliography, making it a suitable graduate textbook as well as research reference.
Table des matières
Polynomial Ideals and Their Varieties.- Stability and Normal Forms.- The Center Problem.- The Isochronicity and Linearizability Problems.- Invariants of the Rotation Group.- Bifurcations of Limit Cycles and Critical Periods.
Langue Anglais ● Format PDF ● Pages 330 ● ISBN 9780817647278 ● Taille du fichier 4.0 MB ● Maison d’édition Birkhäuser Boston ● Lieu MA ● Pays US ● Publié 2009 ● Téléchargeable 24 mois ● Devise EUR ● ID 2146791 ● Protection contre la copie Adobe DRM
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