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arXiv · 2312.00906

Building Expansion for Generalizations of Viana Maps

Vanderlei Horita·Nivaldo Muniz·Olivier Sester
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Abstract

In a seminal paper, Viana built examples of maps presenting two positive Lyapunov exponents exploring skew-products of a (uniformly) expanding map and a quadratic map (order 2 critical point) perturbed by some level of noise. Here we extend that construction replacing the quadratic underlying dynamics by maps with a more degenerated critical point.

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Vanderlei Horita, Nivaldo Muniz, Olivier Sester. 2023-12-01. Building Expansion for Generalizations of Viana Maps. https://arxiv.org/abs/2312.00906

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