A CHARACTERIZATION OF HYPERBOLIC TORAL AUTOMORPHISMS

Title & Authors
A CHARACTERIZATION OF HYPERBOLIC TORAL AUTOMORPHISMS
Lee, Joo-Sung;

Abstract
Let L : $\small{C\;\rightarrow\;C}$ be a hyperbolic automorphism. Then the hyperbolic toral automorphism $\small{L_A\;T^2\;\rightarrow\;T^2}$, induced by L, is a chaotic map ([2] pg.192). We characterize hyperbolic toral automorphisms by proving the converse of the above statement.
Keywords
chaotic map;hyperbolic toral automorphism;Weierstrass P function and the Riemann sphere;
Language
English
Cited by
References
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