Boundary-preserving mappings of a manifold with intermingling basins of components of the attractor, one of which is open
N. A. Solodovnikov
National Research University "Higher School of Economics", Moscow
We construct an open set of $ C^2$-diffeomorphisms which preserve the boundary of some manifold, and which have the following property: for each mapping, the basin of attraction of one component of the attractor is open and everywhere dense, but the basin of attraction of the second component is nowhere dense, though its measure is positive.
PDF file (275 kB)
Transactions of the Moscow Mathematical Society, 2014, 75, 69–76
N. A. Solodovnikov, “Boundary-preserving mappings of a manifold with intermingling basins of components of the attractor, one of which is open”, Tr. Mosk. Mat. Obs., 75, no. 1, MCCME, M., 2014, 15–24; Trans. Moscow Math. Soc., 75 (2014), 69–76
Citation in format AMSBIB
\paper Boundary-preserving mappings of a manifold with intermingling basins of components of the attractor, one of which is open
\serial Tr. Mosk. Mat. Obs.
\jour Trans. Moscow Math. Soc.
Citing articles on Google Scholar:
Related articles on Google Scholar:
|Number of views:|