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2007 On Hyperbolic Plateaus of the Hénon Map
Zin Arai
Experiment. Math. 16(2): 181-188 (2007).

Abstract

We propose a rigorous computational method to prove the uniform hyperbolicity of discrete dynamical systems. Applying the method to the real Hénon family, we prove the existence of many regions of hyperbolic parameters in the parameter plane of the family.

Citation

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Zin Arai. "On Hyperbolic Plateaus of the Hénon Map." Experiment. Math. 16 (2) 181 - 188, 2007.

Information

Published: 2007
First available in Project Euclid: 7 March 2008

zbMATH: 1145.37023
MathSciNet: MR2339274

Subjects:
Primary: computer-assisted proof
Secondary: 37E30 , 37M20

Keywords: computer-assisted proof , Hénon map , uniform hyperbolicity

Rights: Copyright © 2007 A K Peters, Ltd.

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