Below you will find pages that utilize the taxonomy term “Applications”
Problem 132
$\dot X = Q(X) $ on $\mathbb{R}^3$, where $Q$ is quadratic. Is there a condition on the coefficients which guarantees a homoclinic point (a complicated attractor)? E.g. like for Reynolds numbers?
Problem 92
Among degree $n$ polynomial maps of $[0,1]$ to itself, are Axiom A open and dense. Do bad ones form a stratified set? …
Problem 85
codon frequencies via equilibrium states for ``some potential’'?
Problem 84
Invariant or approximatively invariant finite dimensional subspaces for Navier-Stokes equation
Problem 78
Calculate $h$ for O.D.E. systems on $\mathbb{R}^n$, e.g. linear equations first
Problem 68
Electric circuits Analogue computer for finding Axiom A examples Is noise sometimes due to hyperbolicity in the dynamics?
Problem 67
Correspondence principle of quantum mechanics. Investigate for some simple mechanical systems. Is h-expansiveness related to quantum ….?
Problem 59
Computer programs for Axiom A attractor.
Problem 58
Is Gutzwiller’s example an Anosov flow?
Problem 46
Equilibrium states for 1-dimensional quantum lattice systems without finite range
Problem 42
Is $h(\varphi_t | E)$ differentiable in $E$ for Hamiltonian flows? Any relation to classical or quantum statistical mechanics?
Problem 29
Find Axiom A infinite attractor in some O.D.E. on $\mathbb{R}^3$ (quadratic).
Problem 26
Entropy in Hamiltonian case; for P.D.E.’s? Relation to O.D.E.’s?