Inverse Problems in Ordinary Differential Equations and Applications (Progress in Mathematics) - Llibre, Jaume

Inverse Problems in Ordinary Differential Equations and Applications (Progress in Mathematics)

Jaume Llibre

Yayınevi: Springer

Yayın tarihi: 03/2016

ISBN: 9783319263373

Yazar : Rafael Ramírez

Ciltli | İngilizce | 280 Sayfa | 16,89x24,79x2,31 cm.

Tür: Matematik-İstatistik

  • Temin Süresi 49 - 63 iş günü

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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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