I have the system (took very basic example on purpose, to understand the idea):
$$\begin{cases} \dot{x} = x \\ \dot{y} = 2x -y \end{cases}$$
so I have plot phase plane. what have been done so far:
$$A = \begin{pmatrix} 1 && 0 \\ 2 && -1 \end{pmatrix}$$
$$\det A = \begin{vmatrix}1 - \lambda &&...
How do we prove the similarity dimension equals the Hausdorff dimension if the self-similar set satisfies the open set condition? Which article contains this proof?
@ArcticChar Indeed. I could, perhaps, see the use for a "self-similar-fractals" tag, but my guess is that the set of questions with that tag and the "fractals" tag would be nearly identical.