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Results tagged with ds.dynamical-systems
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user 39339
Dynamics of flows and maps (continuous and discrete time), including infinite-dimensional dynamics, Hamiltonian dynamics, ergodic theory.
3
votes
1
answer
370
views
On the $\omega$-limit set of a trajectory converging to a submanifold
Let $X$ be a $C^1$ vector field on $\mathbb{R}^n$. Let $S$ be a compact submanifold of dimension $s(<n)$. Suppose $S$ is invariant under the flow of $X$ and that we know everything about the dynamics …
- 231
1
vote
0
answers
179
views
Smooth normal forms of vector fields (the path method)
I start by considering a polynomial vector field $$F=\varepsilon\frac{\partial}{\partial x}-(z^2+x)\frac{\partial}{\partial z}+0\frac{\partial}{\partial \varepsilon}.$$ Next I define a perturbation of …
- 231