Resonances of the cusp family

Details Resonances of the cusp family Resonances of the cusp family

2001-06-26

arxiv.org/abs/nlin/0106039v1

Nonlinear Sciences

Chaotic Dynamics

14 pages, 3 figures. Submitted to J.Phys.A

Scientific paper

10.1088/0305-4470/35/12/308

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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