Symmetric S-unimodal mappings and positive Liapunov exponents

Tomasz Nowicki

doi:10.1017/S0143385700003199

Abstract

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Symmetric S-unimodal functions with positive Liapunov exponent of the critical value have an invariant measure absolutely continuous with respect to Lebesgue measure.

References

REFERENCES

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Crossref Citations

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Nowicki, Tomasz 1988. A positive Liapunov exponent for the critical value of an S-unimodal mapping implies uniform hyperbolicity. Ergodic Theory and Dynamical Systems, Vol. 8, Issue. 3, p. 425.

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Nowicki, T. and Przytycki, F. 1989. The conjugacy of Collet–Eckmann's map of the interval with the tent map is Holder continuous. Ergodic Theory and Dynamical Systems, Vol. 9, Issue. 2, p. 379.

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Gao, Rui and Shen, Weixiao 2014. Analytic skew-products of quadratic polynomials over Misiurewicz-Thurston maps. Discrete & Continuous Dynamical Systems - A, Vol. 34, Issue. 5, p. 2013.

Li, Huaibin 2017. Topological invariance of the Collet–Eckmann condition for one-dimensional maps. Nonlinearity, Vol. 30, Issue. 5, p. 2010.

Article contents

Symmetric S-unimodal mappings and positive Liapunov exponents

Abstract

References

REFERENCES

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