Inverse Problems in Ordinary Differential Equations and Applications

Name: Inverse Problems in Ordinary Differential Equations and Applications
SKU: 24110413
Price: 318.99 AUD
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Hardback

Series:

Progress in Mathematics

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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.

Release date Australia

March 22nd, 2016

Author

Audience

Professional & Vocational

Edition

1st ed. 2016

Illustrations

8 Illustrations, color; 1 Illustrations, black and white; XII, 266 p. 9 illus., 8 illus. in color.

Pages

266

Series

Progress in Mathematics

Dimensions

155x235x18

ISBN-13

9783319263373

Product ID

24110413

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