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Item Details
Title: INVERSE PROBLEMS IN ORDINARY DIFFERENTIAL EQUATIONS AND APPLICATIONS
Volume: 2016
By: Jaume Llibre
Format: Hardback

List price: £109.99
Our price: £33.00
Discount:
70% off
You save: £76.99
ISBN 10: 3319263374
ISBN 13: 9783319263373
Availability: Usually dispatched within 1-2 days.
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Stock: Currently 6 available
Publisher: BIRKHAUSER VERLAG AG
Pub. date: 10 March, 2016
Series: Progress in Mathematics 313
Pages: 266
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.
Illustrations: 1 black & white illustrations, 8 colour illustrations, biography
Publication: Switzerland
Imprint: Birkhauser Verlag AG
Returns: Non-returnable
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