Attractors for Invertible Expanding Linear Operators

  • J Org, M Thuswaldner
  • Published 2000

Abstract

Let M be a 2 2 matrix whose eigenvalues have all modulus greater than 1, and let N be a complete residue system of vectors mod M (Z 2). Deene a mapping (z) = M ?1 (z ?), for 2 N, such that (z) has integer coordinates. Then the iterates k (z) give rise to a dynamical system, whose attractor P is a bounded set. In this paper we determine P explicitely for a… (More)

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Cite this paper

@inproceedings{Org2000AttractorsFI, title={Attractors for Invertible Expanding Linear Operators}, author={J Org and M Thuswaldner}, year={2000} }