Positive Lyapunov exponents for quadratic skew-products over a Misiurewicz–Thurston map

Published 5 October 2009 • 2009 IOP Publishing Ltd and London Mathematical Society
, , Citation Daniel Schnellmann 2009 Nonlinearity 22 2681 DOI 10.1088/0951-7715/22/11/006

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1 Department of Mathematics, Royal Institute of Technology (KTH), S-100 44 Stockholm, Sweden

Dates

  1. Received 1 February 2009
  2. Published

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0951-7715/22/11/2681

Abstract

We study a class of skew-products of quadratic maps—also called Viana maps—where the base dynamics is given by a high enough iteration of a Misiurewicz–Thurston quadratic map. We show that these systems admit two positive Lyapunov exponents.

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10.1088/0951-7715/22/11/006