Add to ORKGIn this paper the determination of the 1-th and 2-th order correlation functions of chaotic sequences is considered. A calculus for N-dimensional fully stretching piecewise linear markov systems is given where the spectral decomposition of the Frobenius-Perron-Operator is used. It is shown that the reduction of the operator to finite dimensional subspaces is the core of the calculation method. (orig.)Published of Proceedings ISCAS'97, v. II, p. 1049-1052, Hong Kong (HK), 1997SIGLEAvailable from TIB Hannover: RR 7265(97,5) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekDEGerman
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Let S : [0, 1] --\u3e [0, 1] be a mapping and let P : L-1 (0, 1) --\u3e L-1 (0, 1) be the correspond...
The problem of computing any-order expectations of trajectories generated by discrete-time one-dimen...
We show that for one-dimensional piecewise linear Markov maps the Frobenius-Perron operator evolving...
In the first part of the paper we present a systematic method for the eigensystem analysis on polyno...
The general approach developed in the companion paper for the statistical analysis of trajectories ...
Spectral decompositions of the evolution operator for probability densities are obtained for the mos...
A theory of systems with long-range correlations based on the consideration of binary N-step Markov ...
AbstractA simple one-dimensional chaotic map, whose spectral decomposition of the Frobenius-Perron o...
The application of chaotic dynamics to signal processing tasks stems from the realization that its c...
I illustrate a unified approach to the study of the decay of correlations in hyperbolic dynamical sy...
A theory of symbolic dynamic systems with long-range correlations based on the consideration of the ...
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With the aim of explaining the formal development behind the chaos-based modeling of network traffic...
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The statistical properties of chaotic Markov analytic maps and equivalent repellers are investigated...
Let S : [0, 1] --\u3e [0, 1] be a mapping and let P : L-1 (0, 1) --\u3e L-1 (0, 1) be the correspond...
The problem of computing any-order expectations of trajectories generated by discrete-time one-dimen...
We show that for one-dimensional piecewise linear Markov maps the Frobenius-Perron operator evolving...