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Resonances of the cusp family

I. Antoniou·S. A. Shkarin·E. Yarevsky
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Abstract

We study a family of chaotic maps with limit cases the tent map and the cusp map (the cusp family). We discuss the spectral properties of the corresponding Frobenius--Perron operator in different function spaces including spaces of analytic functions. A numerical study of the eigenvalues and eigenfunctions is performed.

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I. Antoniou, S. A. Shkarin, E. Yarevsky. 2001-06-26. Resonances of the cusp family. https://doi.org/10.1088/0305-4470%2F35%2F12%2F308

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