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Results tagged with ds.dynamical-systems
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user 38468
Dynamics of flows and maps (continuous and discrete time), including infinite-dimensional dynamics, Hamiltonian dynamics, ergodic theory.
3
votes
Accepted
Is the following conjecture regarding rotational iterates of collection of points on a circl...
Yes, the conjecture is true.
You can assume without loss of generality that $\varphi(1)=\rho(1)$ is smaller than the other angles. Pick $\alpha>0$ so that for all $i>1$ you have $\varphi_i>\pi\alpha+ …
- 5,186
3
votes
Accepted
Polynomial vector field tangent to a given analytic simple closed curve
I see this as very unlikely. A polynomial vector field would have a slope function that is a rational function of two variables with a finite number of coefficients.
As a consequence, if you take th …
- 5,186