Resonances of the cusp family
I. Antoniou, S. A. Shkarin, E. Yarevsky
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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