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Mathematics of classical mechanics, including Hamiltonian mechanics, Lagrangian mechanics, applications of symplectic geometry to mechanics, deterministic chaos, resonance etc.
10
votes
Can the equation of motion with friction be written as Euler-Lagrange equation, and does it ...
There is another way around, starting with Lagrange, but bypassing his variational construction to reach immediately the presymplectic construction. Considering the motion of a point submitted to a fo …
1
vote
Definition of a moment map with physical context
$\def \cG {\cal G}$
$\def \RR {\mathbf R}$
The moment map is one of the most important constructions in symplectic mechanics. There are at least two main reasons for that:
The moment map $\mu : M \to …