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Dynamics of flows and maps (continuous and discrete time), including infinite-dimensional dynamics, Hamiltonian dynamics, ergodic theory.

3 votes
2 answers
606 views

Structural stability on the circle

How can i proove that on the space of circle diffeomorphisms with the C-r topology, Morse Smale diffeomorphisms and Structurally stable diffeomorphisms are the same set?
John Logan's user avatar
2 votes
1 answer
226 views

Closing lemma on the Interval

Let $f:$ $\mathbb{R}$ $\rightarrow$ $\mathbb{R}$ a $C^1$ diffeomorphism, $x\in\Omega(f)$.$\space$ How do I prove that $\forall\space\epsilon\gt0$, $\exists\space$ $g:$$\mathbb{R}$ $\rightarrow$ $\math …
John Logan's user avatar