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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 …
gmvh's user avatar
  • 3,065
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 …
Patrick I-Z's user avatar
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