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Results tagged with ds.dynamical-systems
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user 86065
Dynamics of flows and maps (continuous and discrete time), including infinite-dimensional dynamics, Hamiltonian dynamics, ergodic theory.
3
votes
0
answers
191
views
If the sum of everywhere linearly independent vector fields are periodic, are the component ...
I feel like the above must be true but embarrassingly cannot seem to prove it. Take linearly independent, commuting vector fields $X$ and $Y$ on a manifold and corresponding flows $\Phi^t_X$, $\Phi^t_ …
- 979
8
votes
0
answers
285
views
Connection between integrable systems and group actions
An integrable system can be defined as a symplectic manifold together with the maxiumum possible number of Poisson commuting functions on the manifold which are almost everywhere independent. By the L …
- 979
2
votes
0
answers
117
views
Embeddings of the configuration space into the phase space of integrable systems
As always, I'm not sure if I'm about to ask a very stupid question, and I apologise if that is the case.
Most systems from physics come from classical Hamiltonians, defined on the phase space of som …
- 979
4
votes
1
answer
230
views
Contradiction between fixed points of a hamiltonian diffeomorphism of a torus and quasi-peri...
Again a very simple question. I currently hold two contradictory ideas in my head
1) A hamiltonian diffeomorphism of a torus necessarily has fixed points
2) most hamiltonian actions on a torus in an …
- 979