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A characterization of hyperbolic toral automorphisms

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Abstract

LetL :C ! C be a hyperbolic automorphism. Thenthe hyperbolic toral automorphism LA :T2 ! T2, induced by L,is a chaotic map ([2] pg.192). We characterize hyperbolic toralautomorphisms by proving the converse of the above statement.

참고문헌 (4)

  1. "On Devany's definition of chaos", pp.332~334 (1992)
  2. "An Introduction to Chaotic Dynamical Systems" (1987)
  3. "Regular branched coveringspaces and chaotic maps on the Riemann sphere", 3, pp.507~517 (2004)
  4. "Yet another definition of chaos", pp.411~414 (1997)

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