Beschreibung
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^N 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.
Herstellerkennzeichnung:
Springer Basel AG in Springer Science + Business Media
Heidelberger Platz 3
14197 Berlin
DE
E-Mail: juergen.hartmann@springer.com
