Invariant Distributions and Stationary Correlation Functions of One-Dimensional Discrete Processes

S. Grossmann 1  and S. Thomae 2
  • 1 Fachbereich Physik, Philipps-Universität, Marburg, Germany
  • 2 Thomae Fachbereich Physik, Philipps-Universität, Marburg, Germany

Abstract

The connection between one-dimensional dynamical laws generating discrete processes and their invariant densities as well as their stationary correlaton functions is discussed. In particular the changes occuring under a special equivalence transformation are considered. Correlation functions are used to describe the gradual transition from periodic states to chaotic states via periodic motions with superimposed nonlinearity noise.

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A Journal of Physical Sciences: Zeitschrift für Naturforschung A (ZNA) is an international scientific journal which publishes original research papers from all areas of experimental and theoretical physics. In accordance with the name of the journal, which means “Journal for Natural Sciences”, manuscripts submitted to ZNA should have a tangible connection to actual physical phenomena.

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