Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
The Generalized Lagrangian Mechanical Systems
Authors: Radu Miron
Keywords: Generalized Lagrangian system, Lagrange equations, generalized kinetic energy.
– 0.11 Mb
Keywords: Generalized Lagrangian system, Lagrange equations, generalized kinetic energy.
Abstract
A generalized Lagrangian mechanics is a triple ΣGL = (M, ε, Fe) formed by a real n-dimensional manifold M, the generalized kinetic energy ε and the external forces Fe. The Lagrange equations (or fundamental equations) can be defined for a generalized Lagrangian mechanical system ΣGL. We get a straightforward extension of the notions of Riemannian, or Finslerian, or Lagrangian mechanical systems studied in the recent book [7]. The applications of this systems in Mechanics, Physical Fields or Relativistic Optics are pointed out. Much more information can be found in the books or papers from References [1-10]."Al. Ioan Cuza" University, Iaşi, România
E-mail:
E-mail:
Fulltext
– 0.11 Mb
Contents
- Basic cohomology attached to a basic function of foliated manifolds
- Isohedral tilings on Riemann surfaces of genus 2
- Method of construction of topologies on any finite set
- Generators of the algebras of invariants for differential system with homogeneous nonlinearities of odd degree
- On partial inverse operations in the lattice of submodules
- The Generalized Lagrangian Mechanical Systems
- Cubic systems with seven invariant straight lines of configuration (3,3,1)
- The Ricci-flat spaces related to the Navier-Stokes equations
