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Inverse Problems in Ordinary Differential Equations and Applications

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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Series Title
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Call Number
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Publisher
Cham : .,
Collation
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Language
English
ISBN/ISSN
978-3-319-26339-7
Classification
NONE
Content Type
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Media Type
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Carrier Type
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Edition
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Subject(s)
Differential equations
Specific Detail Info
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Statement of Responsibility
Other Information
Cataloger
Kholif Basri
Source
https://link.springer.com/book/10.1007/978-3-319-26339-7
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