2013  2014
Geomtery of Mechanics and Control Theory
January 02  10, 2014

Considering mechanics
from a variational point of view goes back to Euler, Lagrange
and Hamilton. The form of the variational principle most important
for continuous mechanics is due to Hamilton, and is often called
Hamilton’s principle or the least action principle. Modern geometric mechanics
stimulated from the work of Arnold, Marsden and their coworkers. This application
of geometrically based ideas to a concrete physical problem is very much in the spirit
of Poincare's work in classical mechanics.
Despite its maturity, geometric mechanics
continuous to grow and find application in various areas. In particular, it finds application
in the study of complex materials, nonholonomic mechanics, discrete and stochastic mechanics.
They playskip a significant role in the theory of integrable systems and symmetry analysis of physics.
Topics covered during the programme:
Complex materials and dissipative systems
Nonholonomic dynamics
Control theory
EulerPoincare formalism of integrable systems
Astrodynamics
Summary and Rationale
