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Results tagged with ds.dynamical-systems
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user 80950
Dynamics of flows and maps (continuous and discrete time), including infinite-dimensional dynamics, Hamiltonian dynamics, ergodic theory.
3
votes
0
answers
73
views
What is known about discrete versions of the spatially homogenous Boltzmann equation with fi...
Consider a discrete version of spatially homogenous Boltzmann equation with finitely many (but arbitrarily many) velocities $v_i \in \mathbb R^n$ with $i \in I$. Equivalently, consider a system of cou …
- 111
1
vote
0
answers
65
views
What *piecewise* smooth curves/surfaces/hypersurfaces give rise to forward-invariant regions...
Consider a set $\mathcal{B}\subset \mathbb{R}^n$ that is homeomorphic to a closed n-dimensional ball, and denote its boundary by $\mathcal{H}$. Assume that $\mathcal{H}$ is a "piecewise smooth" hypers …
- 111
3
votes
0
answers
140
views
What is known about topological equivalence of polynomial dynamical systems on two different...
The question is mainly about $\it flows$, not maps (i.e., continuous time, not discrete time).
Is it known if the study of polynomial dynamical systems on $\mathbb R^n$ can be reduced to the study o …
- 111