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Inverse problems in ordinary differe...

Llibre, Jaume.

Inverse problems in ordinary differential equations and applications[electronic resource] /

レコード種別:	言語・文字資料 (印刷物) : 単行資料
[NT 15000414] null:	515.357
タイトル / 著者:	Inverse problems in ordinary differential equations and applications/ by Jaume Llibre, Rafael Ramirez.
著者:	Llibre, Jaume.
その他の著者:	Ramirez, Rafael.
出版された:	Cham : : Springer International Publishing :, 2016.
記述:	xii, 266 p. : : ill. (some col.), digital ;; 24 cm.
含まれています:	Springer eBooks
主題:	Inverse problems (Differential equations) - Congresses.
主題:	Mathematics.
主題:	Ordinary Differential Equations.
国際標準図書番号 (ISBN) :	9783319263397
国際標準図書番号 (ISBN) :	9783319263373
[NT 15000228] null:	Preface -- 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.
[NT 15000229] null:	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.
電子資源:	http://dx.doi.org/10.1007/978-3-319-26339-7

Inverse problems in ordinary differential equations and applications[electronic resource] /
Llibre, Jaume.

Inverse problems in ordinary differential equations and applications[electronic resource] /by Jaume Llibre, Rafael Ramirez. - Cham :Springer International Publishing :2016. - xii, 266 p. :ill. (some col.), digital ;24 cm. - Progress in mathematics,v.3130743-1643 ;. - Progress in mathematics ;v.295..

Preface -- 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.

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.

ISBN: 9783319263397

Standard No.: 10.1007/978-3-319-26339-7doiSubjects--Topical Terms:

486545
Inverse problems (Differential equations)
--Congresses.

LC Class. No.: QA378.5

Dewey Class. No.: 515.357

Inverse problems in ordinary differential equations and applications[electronic resource] /
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100 1 $a Llibre, Jaume. $3 612288
245 1 0 $a Inverse problems in ordinary differential equations and applications $h [electronic resource] / $c by Jaume Llibre, Rafael Ramirez.
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2016.
300 $a xii, 266 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Progress in mathematics, $x 0743-1643 ; $v v.313
505 0 $a Preface -- 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.
520 $a 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.
650 0 $a Inverse problems (Differential equations) $v Congresses. $3 486545
650 1 4 $a Mathematics. $3 172349
650 2 4 $a Ordinary Differential Equations. $3 465742
700 1 $a Ramirez, Rafael. $3 639805
710 2 $a SpringerLink (Online service) $3 463450
773 0 $t Springer eBooks
830 0 $a Progress in mathematics ; $v v.295. $3 464947
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-26339-7
950 $a Mathematics and Statistics (Springer-11649)

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