Inverse Problems in Ordinary Differential Equations and Applications
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The work Inverse Problems in Ordinary Differential Equations and Applications represents a distinct intellectual or artistic creation found in Boston University Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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Inverse Problems in Ordinary Differential Equations and Applications
Resource Information
The work Inverse Problems in Ordinary Differential Equations and Applications represents a distinct intellectual or artistic creation found in Boston University Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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 Inverse Problems in Ordinary Differential Equations and Applications
 Statement of responsibility
 by Jaume Llibre, Rafael Ramírez
 Language
 eng
 Summary
 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
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 Image bit depth
 0
 LC call number
 QA372
 Literary form
 non fiction
 Series statement
 Progress in Mathematics,
 Series volume
 313
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Context of Inverse Problems in Ordinary Differential Equations and ApplicationsWork of
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