Inverse Problems in Ordinary Differential Equations and Applications Paperback / softback
by JAUME LLIBRE, Rafael Ramirez
Part of the Progress in Mathematics series
Paperback / softback
Description
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.
Information
-
Out of stock
- Format:Paperback / softback
- Pages:266 pages, 8 Illustrations, color; 1 Illustrations, black and white; XII, 266 p. 9 illus., 8 illus.
- Publisher:Birkhauser Verlag AG
- Publication Date:24/04/2018
- Category:
- ISBN:9783319799353
Other Formats
- Hardback from £91.59
- PDF from £63.33
Information
-
Out of stock
- Format:Paperback / softback
- Pages:266 pages, 8 Illustrations, color; 1 Illustrations, black and white; XII, 266 p. 9 illus., 8 illus.
- Publisher:Birkhauser Verlag AG
- Publication Date:24/04/2018
- Category:
- ISBN:9783319799353