Inverse Problems in Ordinary Differential Equations and Applications

• Main Authors: Llibre, Jaume (Author), Ramírez, Rafael (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2016.
• Edition: 1st ed. 2016.
• Series: Progress in Mathematics, 313
• Subjects: Mathematics.; Differential equations.; Ordinary Differential Equations.

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 or...

Table of Contents:

• 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.