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Results tagged with ds.dynamical-systems
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user 91341
Dynamics of flows and maps (continuous and discrete time), including infinite-dimensional dynamics, Hamiltonian dynamics, ergodic theory.
1
vote
Accepted
Finding a two point scrambled set for the function $g:[0,1] \rightarrow [0,1], x \mapsto \mi...
Having digested your definitions... Any number which has an aperiodic orbit (not a fixed point), and any number which has a periodic orbit (possibly a fixed point), will between them constitute a two- …
- 308
-1
votes
1
answer
299
views
Is this submonoid of the isometry group on $\Bbb Q_2$ closed to inverses? [closed]
Let $\textrm{aff}(ax+b)$ be the affine group on $\Bbb Z_2^\times$
i.e. the set of linear polynomials over 2-adic numbers with $a\in\Bbb Z_2^\times, b\in\Bbb Z_2$
Now let $X$ be the restriction of its …
- 308
2
votes
A Collatz-like function that bifurcates on primes
The full detail of this is of course a complex matter but I can build out some structure and connect the problem to some powerful tools for you; namely that, like the Collatz conjecture, this structur …
- 308
0
votes
Identification of Invariant Sets for Discrete Dynamical Systems on the Positive Integers
This is a fairly substantial rewriting of my original answer.
Sharkovski's theorem, which unfortunately only applies to $\mathbb{R}$ is the definitive theorem in this field and one thing it states is …
- 308
1
vote
Dropping three bodies
I believe your first proof is trivial since any 3 points may always be placed on a plane and since their gravity will attract along the plane they will remain on it in perpetuity. Then any 2 points sa …
- 308