Marcin Kulczycki, Magdalena Nowak
Published 2012-03-05Version 1
This paper presents a sufficient condition for a continuum in $R^n$ to be embeddable in $R^n$ in such a way that its image is not an attractor of any iterated function system. An example of a continuum in $R^2$ that is not an attractor of any weakly contracting iterated function system is also given.
A sufficient condition for bifurcation in random dynamical systems
A sufficient condition for $k$-contraction of the series connection of two systems
Necessary and sufficient condition for $\cM_2$-convergence to a Lévy process for billiards with cusps at flat points
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