Topology of Attractors from Two-Piece Expanding Maps

Authors

Youngna Choi, Montclair State UniversityFollow

Document Type

Article

Publication Date

12-1-2006

Journal / Book Title

Dynamical Systems

Abstract

In this paper we study the topology of the invariant sets derived from two-piece expanding maps. We classify the conditions under which the invariant sets are topological attractors, and show that the set of attractors is open and dense in the set of invariant sets derived by two-piece expanding maps.

DOI

10.1080/14689360600682097

MSU Digital Commons Citation

Choi, Youngna, "Topology of Attractors from Two-Piece Expanding Maps" (2006). Department of Applied Mathematics and Statistics Faculty Scholarship and Creative Works. 133.
https://digitalcommons.montclair.edu/appliedmath-stats-facpubs/133

Published Citation

Choi, Y. (2006). Topology of attractors from two-piece expanding maps. Dynamical Systems, 21(4), 385-398.