Resonances of the cusp family
Chaotic Dynamics
2009-11-07 v1
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.
Keywords
Cite
@article{arxiv.nlin/0106039,
title = {Resonances of the cusp family},
author = {I. Antoniou and S. A. Shkarin and E. Yarevsky},
journal= {arXiv preprint arXiv:nlin/0106039},
year = {2009}
}
Comments
14 pages, 3 figures. Submitted to J.Phys.A