Qualitative Theory of Planar Differential Systems is popular PDF and ePub book, written by Freddy Dumortier in 2006-10-13, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Qualitative Theory of Planar Differential Systems can be Read Online from any device for your convenience.
Qualitative Theory of Planar Differential Systems Book PDF Summary
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.
Detail Book of Qualitative Theory of Planar Differential Systems PDF
- Author : Freddy Dumortier
- Release : 13 October 2006
- Publisher : Springer Science & Business Media
- ISBN : 9783540329022
- Genre : Mathematics
- Total Page : 302 pages
- Language : English
- PDF File Size : 13,5 Mb
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