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Qualitative Theory of Planar Differential Systems

2006. Buch. xvi, 302 S.: 10 s/w-Tabelle, Bibliographien. Softcover
Springer ISBN 978-3-540-32893-3
Format (B x L): 15,5 x 23,5 cm
Gewicht: 1010 g
In englischer Sprache
Das Werk ist Teil der Reihe:
This book deals with systems of polynomial autonomous ordinary differential equations in two real variables. The emphasis is mainly qualitative, although attention is also given to more algebraic aspects as a thorough study of the center/focus problem and recent results on integrability. In the last two chapters the performant software tool P4 is introduced. From the start, differential systems are represented by vector fields enabling, in full strength, a dynamical systems approach. All essential notions, including invariant manifolds, normal forms, desingularization of singularities, index theory and limit cycles, are introduced and the main results are proved for smooth systems with the necessary specifications for analytic and polynomial systems.
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Webcode: beck-shop.de/huxg
Authors are among the leaders in their field and well-known expositors Includes instruction manual and examples for the free software P4 (for numerical experiments on differential equations) available online Very different treatment, at somewhat higher level, from numerous other textbooks on the subject