The spectrum of the Frobenius-Perron operator and its discretization for circle diffeomorphisms

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Erscheinungsjahr:
2002
Medientyp:
Text
Schlagworte:
  • Circle map
  • Dynamical system
  • Frobenius-Perron operator
  • Markov chain
  • Rransition matrix
  • Spectrum
Beschreibung:
  • To investigate the dynamical behaviour of a discrete dynamical system given by a map f, it is nowadays a standard method to look at the discretization of the Frobenius-Perron operator ℘f w.r.t. a box-partition of the state space resulting in a transition matrix Pf,N of a finite Markov chain. We are interested in information about the dynamics of f obtained from the spectrum of Pf,N, especially for circle diffeomorphisms. Therefore the spectra of ℘f and Pf,N are investigated. © 2002 Plenum Publishing Corporation.
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  • info:eu-repo/semantics/closedAccess
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Forschungsinformationssystem der UHH
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oai:www.edit.fis.uni-hamburg.de:publications/3717ce86-0390-44a6-a2a2-5ea878ac5616