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Jaume Llibre & Rafael Ramírez 
Inverse Problems in Ordinary Differential Equations and Applications [PDF ebook] 

Destek

This book is dedicated to study the inverse problem of ordinary differential equations, that is it focuses in finding all ordinary differential equations that satisfy a given set of properties. The Nambu bracket is the central tool in developing this approach. The authors start characterizing the ordinary differential equations in R^N which have a given set of partial integrals or first integrals. The results obtained are applied first to planar polynomial differential systems with a given set of such integrals, second to solve the 16th Hilbert problem restricted to generic algebraic limit cycles, third for solving the inverse problem for constrained Lagrangian and Hamiltonian mechanical systems, fourth for studying the integrability of a constrained rigid body. Finally the authors conclude with an analysis on nonholonomic mechanics, a generalization of the Hamiltonian principle, and the statement an solution of the inverse problem in vakonomic mechanics.

€90.94
Ödeme metodları

İçerik tablosu

Preface.- 1.Differential Equations with Given Partial and First Integrals.- 2.Polynomial Vector Fields with Given Partial and First Integrals.- 3.16th Hilbert Problem for Algebraic Limit Cycles.- 4.Inverse Problem for Constrained Lagrangian Systems.- 5.Inverse Problem for Constrained Hamiltonian Systems.- 6.Integrability of the Constrained Rigid Body.- 7.Inverse Problem in the Vakonomic Mechanics.- Index.- Bibliography.

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Dil İngilizce ● Biçim PDF ● Sayfalar 266 ● ISBN 9783319263397 ● Dosya boyutu 3.7 MB ● Yayımcı Springer International Publishing ● Kent Cham ● Ülke CH ● Yayınlanan 2016 ● İndirilebilir 24 aylar ● Döviz EUR ● Kimlik 4834120 ● Kopya koruma Sosyal DRM

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