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 analytical functions and study numerically the eigenvalues and eigenfunctions.

Original languageEnglish
Pages (from-to)2833-2844
Number of pages12
JournalJournal of Physics A: Mathematical and General
Volume35
Issue number12
DOIs
StatePublished - 29 Mar 2002

    Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)

ID: 36796698