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Mathematics of classical mechanics, including Hamiltonian mechanics, Lagrangian mechanics, applications of symplectic geometry to mechanics, deterministic chaos, resonance etc.
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 …
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 …