16-29 Yi-Chiuan Chen

A PROOF OF DEVANEY-NITECKI REGION FOR THE HENON MAPPING USING THE ANTI-INTEGRABLE LIMIT (432K, PDF) Mar 23, 16

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Abstract. We present in this note an alternative yet simple approach to obtain the Devaney-Nitecki horseshoe region for the Henon maps. Our approach is based on the anti-integrable limit and the implicit function theorem. We also highlight an application to the logistic maps.

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