Resonances of the cusp family

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.

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

References in corpus (1)

• Eigenvalue spectrum of the Frobenius-Perron operator near intermittency

Cited by in corpus (1)

• The resonance spectrum of the cusp map in the space of analytic functions