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Inverse Problems in Ordinary Differential Equations and Applications (Progress in Mathematics, 313, Band 313) - Hardcover

Buch 141 von 170: Progress in Mathematics

Llibre, Jaume; Ramírez, Rafael

 
9783319263373: Inverse Problems in Ordinary Differential Equations and Applications (Progress in Mathematics, 313, Band 313)
Hardcover
ISBN 10: 3319263374 ISBN 13: 9783319263373
Verlag: Birkhäuser, 2016

Inhaltsangabe

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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Über die Autorin bzw. den Autor

Jaume Llibre is full professor at the Autonomous University of Barcelona (Spain) and a member of the Royal Academy of Sciences and Arts of Barcelona. He was a long-term visitor at different important universities and research institutes and is the author of many papers and some books. His main results deal with the periodic orbits either of different kinds of self-maps, or of vector fields, Hamiltonian systems and celestial mechanics. Antonio E. Teruel is associated professor at the University of the Balear Islands (Spain). He is the author of some papers about piecewise linear differential systems. His main results deal with piecewise linear models of differential behaviors.

Von der hinteren Coverseite

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.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Birkhäuser
Erscheinungsdatum
2016
Sprache
Englisch
ISBN 10 
3319263374
ISBN 13 
9783319263373
Einband
Gebundene Ausgabe
Auflage
1
Anzahl der Seiten
278
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
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