平面的
差速器(机械装置)
计算机科学
物理
计算机图形学(图像)
热力学
作者
Freddy Dumortier,Joan Carles Artés Ferragud,Jaume Llibre
出处
期刊:Springer eBooks
[Springer Nature]
日期:2006-01-01
被引量:150
标识
DOI:10.1007/978-3-540-32902-2
摘要
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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