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Viser: Inverse Problems in Ordinary Differential Equations and Applications
Inverse Problems in Ordinary Differential Equations and Applications Vital Source e-bog
Jaume Llibre og Rafael Ramírez
(2016)
Inverse Problems in Ordinary Differential Equations and Applications
Jaume Llibre og Rafael Ramírez
(2016)
Sprog: Engelsk
om ca. 10 hverdage
Detaljer om varen
- Vital Source searchable e-book (Fixed pages)
- Udgiver: Springer Nature (Marts 2016)
- Forfattere: Jaume Llibre og Rafael Ramírez
- ISBN: 9783319263397
Bookshelf online: 5 år fra købsdato.
Bookshelf appen: ubegrænset dage fra købsdato.
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Detaljer om varen
- 1. Udgave
- Hardback
- Udgiver: Springer International Publishing AG (Marts 2016)
- Forfattere: Jaume Llibre og Rafael Ramírez
- ISBN: 9783319263373
This book focuses on finding all ordinary differential equations that satisfy a given set of properties. It is dedicated to inverse problems of ordinary differential equations, with the Nambu bracket acting as the central tool to the authors approach. The authors start with a characterization of ordinary differential equations in R DEGREESN which have a given set of M N partial and first integrals, before addressing planar polynomial differential systems with a given set of polynomial partial integrals. They continue solving the 16th Hilbert problem (restricted to algebraic limit cycles) based on generic assumptions, followed by a study of the inverse problem for constrained Lagrange mechanics and Hamiltonian systems, as well as the issue of the integrability of a constrained rigid body. And finally they conclude with an analysis of transpositional relations, a generalization of the Hamiltonian principle, as well as the inverse problem in vakonomic mechanics.
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1.Differential Equations with Given Partial and First Integrals.-
2.Polynomial Vector Fields with Given Partial and First Integrals.-
3.16th Hilbert Problem for Algebraic Limit Cycles.-
4.Inverse Problem for Constrained Lagrangian Systems.-
5.Inverse Problem for Constrained Hamiltonian Systems.-
6.Integrability of the Constrained Rigid Body.-
7.Inverse Problem in the Vakonomic Mechanics.- Index.- Bibliography.
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