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Inverse Problems in Ordinary Differential Equations and Applications

Af: Jaume Llibre, Rafael Ramirez Engelsk Hardback

Inverse Problems in Ordinary Differential Equations and Applications

Af: Jaume Llibre, Rafael Ramirez Engelsk Hardback
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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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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.

Produktdetaljer
Sprog: Engelsk
Sider: 266
ISBN-13: 9783319263373
Indbinding: Hardback
Udgave:
ISBN-10: 3319263374
Udg. Dato: 22 mar 2016
Længde: 22mm
Bredde: 241mm
Højde: 166mm
Forlag: Birkhauser Verlag AG
Oplagsdato: 22 mar 2016
Forfatter(e): Jaume Llibre, Rafael Ramirez
Forfatter(e) Jaume Llibre, Rafael Ramirez


Kategori Differentialregning & ligninger


ISBN-13 9783319263373


Sprog Engelsk


Indbinding Hardback


Sider 266


Udgave


Længde 22mm


Bredde 241mm


Højde 166mm


Udg. Dato 22 mar 2016


Oplagsdato 22 mar 2016


Forlag Birkhauser Verlag AG

Kategori sammenhænge