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Inverse Problems in Ordinary Differential Equations and Applications: 313 (Progress in Mathematics, 313) - Softcover
Synopsis
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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From the Back Cover
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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- PublisherBirkhäuser
- Publication date2018
- ISBN 10 3319799355
- ISBN 13 9783319799353
- BindingPaperback
- LanguageEnglish
- Number of pages278
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Inverse Problems in Ordinary Differential Equations and Applications
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Inverse Problems in Ordinary Differential Equations and Applications (Progress in Mathematics, 313)
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Inverse Problems in Ordinary Differential Equations and Applications
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 280 pp. Englisch. Seller Inventory # 9783319799353
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Inverse Problems in Ordinary Differential Equations and Applications
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ISBN 10: 3319799355
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Solves the 16th Hilbert problem (restricted to algebraic limit cycles) based on generic assumptions Presents a detailed analysis of transpositional relations, a generalization of the Hamiltonian principleFeatures the Nambu bracket as centr. Seller Inventory # 448755190
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Inverse Problems in Ordinary Differential Equations and Applications
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Seller Inventory # 9783319799353
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Inverse Problems in Ordinary Differential Equations and Applications
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Inverse Problems in Ordinary Differential Equations and Applications (Progress in Mathematics, 313)
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Inverse Problems in Ordinary Differential Equations and Applications (Progress in Mathematics (313))
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Inverse Problems in Ordinary Differential Equations and Applications (Progress in Mathematics (313))
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