Geometric Structure of the Classical Lagrange-d’Alambert Principle and Its Application to Integrable Nonlinear Dynamical Systems

Geometric Structure of the Classical Lagrange-d’Alambert Principle and Its Application to Integrable Nonlinear Dynamical Systems

The classical Lagrange-d’Alembert principle had a decisive influence on formation of modern analytical mechanics which culminated in modern Hamilton and Poisson mechanics. Being mainly interested in the geometric interpretation of this principle, we devoted our review to its deep relationships to mo...

Full description

Bibliographic Details
Main Authors: Anatolij K. Prykarpatski, Oksana E. Hentosh, Yarema A. Prykarpatsky
Format: Article
Language:English
Published: MDPI AG 2017-12-01
Series:Mathematics
Subjects:
Lagrange-d’Alembert principle
M. Buhl vector field symmetry problem
Lax–Sato equations
heavenly equations
Lax integrability
Hamiltonian system
torus diffeomorphisms
loop Lie algebra
Lie-algebraic scheme
Casimir invariants
ℜ-structure
Lie-Poisson structure
Online Access:https://www.mdpi.com/2227-7390/5/4/75

Internet

https://www.mdpi.com/2227-7390/5/4/75

Similar Items