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

Buch 141 von 170: Progress in Mathematics

Llibre, Jaume; Ramírez, Rafael

 
9783319799353: Inverse Problems in Ordinary Differential Equations and Applications (Progress in Mathematics, Band 313)
Softcover
ISBN 10: 3319799355 ISBN 13: 9783319799353
Verlag: Birkhäuser, 2018

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

FREDDY DUMORTIER is full professor at Hasselt University (Belgium), and a member of the Royal Flemish Academy of Belgium for Science and the Arts. He was a long-term visitor at different important universities and research institutes. He is the author of many papers and his main results deal with singularities and their unfolding, singular perturbations, Lienard equations and Hilbert's 16th problem. JAUME LLIBRE is full professor at the Autonomous University of Barcelona (Spain), he is 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. He is the author of many papers and had a large number of Ph. D. students. His main results deal with periodic orbits, topological entropy, polynomial vector fields, Hamiltonian systems and celestial mechanics. JOAN C. ARTES is professor at the Autonomous University of Barcelona (Spain). His main results deal with polynomial vector fields, more concretely quadratic ones. He programmed, some 20 years ago, the first version of P4 (only for quadratic systems) from which the program P4 was developed with the help of Chris Herssens and Peter De Maesschalck.

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.

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Verlag
Birkhäuser
Erscheinungsdatum
2018
Sprache
Englisch
ISBN 10 
3319799355
ISBN 13 
9783319799353
Einband
Taschenbuch
Anzahl der Seiten
280
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Weitere beliebte Ausgaben desselben Titels

9783319263373: Inverse Problems in Ordinary Differential Equations and Applications (Progress in Mathematics, 313, Band 313)

Vorgestellte Ausgabe

ISBN 10:  3319263374 ISBN 13:  9783319263373
Verlag: Birkhäuser, 2016
Hardcover