On a class of variational problems defined by polynomial Lagrangians
Demeter Krupka (1976)
Archivum Mathematicum
Similarity:
Displaying similar documents to “Variational characterization of equations of motion in bundles of embeddings.”
On a class of variational problems defined by polynomial Lagrangians
Geometry of the free-sliding Bernoulli beam
Giovanni Moreno, Monika Ewa Stypa (2016)
Communications in Mathematics
Similarity:
If a variational problem comes with no boundary conditions prescribed beforehand, and yet these arise as a consequence of the variation process itself, we speak of the free boundary values variational problem. Such is, for instance, the problem of finding the shortest curve whose endpoints can slide along two prescribed curves. There exists a rigorous geometric way to formulate this sort of problems on smooth manifolds with boundary, which we review here in a friendly self-contained...
Variational calculus in several variables : a hamiltonian approach
A. Echeverría Enríquez, M. C. Muñoz Lecanda (1992)
Annales de l'I.H.P. Physique théorique
Similarity:
A unified approach to constrained mechanical systems as implicit differential equations
F. Barone, R. Grassini, G. Mendella (1999)
Annales de l'I.H.P. Physique théorique
Similarity:
On the Principle of Stationary Isoenergetic Action
Božidar Jovanović (2012)
Publications de l'Institut Mathématique
Similarity:
A variational construction of chaotic trajectories for a Hamiltonian system on a torus
S. V. Bolotin, P. H. Rabinowitz (1998)
Bollettino dell'Unione Matematica Italiana
Similarity:
A geometric criterion for the existence of chaotic trajectories of a Hamiltonian system with two degrees of freedom and the configuration space a torus is given. As an application, positive topological entropy is established for a double pendulum problem.