Inverse problem for Lagrangian mechanics

Known as: Helmholtz condition, Douglas theorem, Douglas' theorem

In mathematics, the inverse problem for Lagrangian mechanics is the problem of determining whether a given system of ordinary differential equations…

Papers overview

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2017

The inverse problem of the calculus of variations addresses the question of whether or not a system of second order ordinary…

2016

Virtual Holonomic Constraints for Euler-Lagrange Control Systems Alireza Mohammadi Doctor of Philosophy Graduate Department of…

2014

In this paper we provide generalized Helmholtz conditions, in terms of a semi-basic 1-form, which characterize when a given…

2012

The inverse problem of the calculus of variations in a nonholonomic setting is studied. The concept of constraint variationality…

2012

Based on the Helmholtz conditions for the existence of a Lagrangian, we discuss a new approach to constants of the motion…

2010

We treat the problem of metrizability of a linear connection in the context of the inverse problem of the calculus of variations…

2009

2007

2005

We show that a special form of the Furuta inequality is equivalent to an operator equation p—2rn p+2r p—2rn H2mJT (H n+i T)«#2…

2002

Variational properties of first order mechanical systems with general non-holonomic constraints are studied. The concept of…