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Inverse Problems in Ordinary Differential Equations and Applications: 313 (Progress in Mathematics) - Hardcover
Inhaltsangabe
<P>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.</P>
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Críticas
“The book presents a new approach to ... inverse problems, where the authors mainly use as an essential tool the Nambu bracket. They deduce new properties of this bracket, which plays a fundamental role in the proof of all the results and in their applications throughout the book. ... The book is well written and contains new and valuable results in the development of the inverse problem in ordinary differential equations and its applications.” (Leonardo Colombo, Mathematical Reviews, January, 2017)
Reseña del editor
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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- VerlagBirkhäuser
- Erscheinungsdatum2016
- ISBN 10 3319263374
- ISBN 13 9783319263373
- EinbandTapa dura
- SpracheEnglisch
- Auflage1
- Anzahl der Seiten280
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Inverse problems in ordinary differential equations and applications. Progress in mathematics; Bd. volume 313.
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Hardcover. 1st ed. 2016. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-03946 9783319263373 Sprache: Englisch Gewicht in Gramm: 550. Artikel-Nr. 2489880
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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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XII, 266 p. Hardcover. Versand aus Deutschland / We dispatch from Germany via Air Mail. Einband bestoßen, daher Mängelexemplar gestempelt, sonst sehr guter Zustand. Imperfect copy due to slightly bumped cover, apart from this in very good condition. Stamped. Progress in Mathematics ; 313. Sprache: Englisch. Artikel-Nr. 6699EB
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Inverse Problems in Ordinary Differential Equations and Applications
Verlag:
Springer International Publishing, 2016
ISBN 10: 3319263374
ISBN 13: 9783319263373
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Zustand: New. 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. Artikel-Nr. 81169231
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Inverse Problems in Ordinary Differential Equations and Applications
Verlag:
Springer International Publishing, 2016
ISBN 10: 3319263374
ISBN 13: 9783319263373
Neu
Hardcover
Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland
Verkäuferbewertung 5 von 5 Sternen
Buch. Zustand: 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. Artikel-Nr. 9783319263373
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