Find a homeomorphism from \mathbf{R}^n to S^n-\{(0, \ldots, 0,1... | Filo

SOLVED: 20. Hartman-Grobman Theorem: Finding Homeomorphism H in neighborhood that establishes an isochronous flow equivalence between the flow of the differential system and the flow of the linearized system; i.e., H(Φ(t, x0)) = e^(At)H(x0), where A = Df(0) and Φ(t, x0) is the solution of ẋ = f(x), the nonlinear system given by ẋ = -tx.