• Corpus ID: 118637059

Stochastic Properties of the Frobenius-Perron Operator

@article{Tzenov2006StochasticPO,
  title={Stochastic Properties of the Frobenius-Perron Operator},
  author={Stephan I. Tzenov},
  journal={arXiv: Chaotic Dynamics},
  year={2006}
}
  • S. Tzenov
  • Published 1 June 2006
  • Physics, Mathematics
  • arXiv: Chaotic Dynamics
In the present paper the Renormalization Group (RG) method is adopted as a tool for a constructive analysis of the properties of the Frobenius-Perron Operator. The renormalization group reduction of a generic symplectic map in the case, where the unperturbed rotation frequency of the map is far from structural resonances driven by the kick perturbation has been performed in detail. It is further shown that if the unperturbed rotation frequency is close to a resonance, the reduced RG map of the… 

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