Hamiltonian mechanics II

13 novembro 2020, 09:00 • José António Maciel Natário

Lie derivative. Integration on manifolds. Liouville's theorem. Poicaré recurrence. Poisson brackets.

Hamiltonian mechanics I

11 novembro 2020, 09:00 • José António Maciel Natário

Legendre transformation induced by a hyper-regular Lagrangian. Hamilton's equations, canonical symplectic form and Hamiltonian vector fields.

Lagrangian mechanics II

6 novembro 2020, 09:00 • José António Maciel Natário

Noether's theorem. Examples.

Lagrangian mechanics I

4 novembro 2020, 09:00 • José António Maciel Natário

Action determined by a Lagrangian function. Euler-Lagrange equations. Hamiltonian function. Action of a Lie group on a differentiable manifold. Infinitesimal action.

Non-holonomic constraints II

30 outubro 2020, 09:00 • José António Maciel Natário