IEICE TRANSACTIONS on Fundamentals
Kalman's Recognition of Chaotic Dynamics in Designing Markov Information Sources
Summary :
Recently there have been several attempts to construct a Markov information source based on chaotic dynamics of the PLM (piecewise-linear-monotonic) onto maps. Study, however, soon informs us that Kalman's 1956 embedding of a Markov chain is to be highly appreciated. In this paper Kalman's procedure for embedding a prescribed Markov chain into chaotic dynamics of the PLM onto map is revisited and improved by using the PLM onto map with the minimum number of subintervals.
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- IEICE TRANSACTIONS on Fundamentals Vol.E82-A No.9 pp.1747-1753
- Publication Date
- 1999/09/25
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- Special Section PAPER (Special Section on Nonlinear Theory and Its Applications)
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Tohru KOHDA, Hiroshi FUJISAKI, "Kalman's Recognition of Chaotic Dynamics in Designing Markov Information Sources" in IEICE TRANSACTIONS on Fundamentals,
vol. E82-A, no. 9, pp. 1747-1753, September 1999, doi: .
Abstract: Recently there have been several attempts to construct a Markov information source based on chaotic dynamics of the PLM (piecewise-linear-monotonic) onto maps. Study, however, soon informs us that Kalman's 1956 embedding of a Markov chain is to be highly appreciated. In this paper Kalman's procedure for embedding a prescribed Markov chain into chaotic dynamics of the PLM onto map is revisited and improved by using the PLM onto map with the minimum number of subintervals.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e82-a_9_1747/_p
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@ARTICLE{e82-a_9_1747,
author={Tohru KOHDA, Hiroshi FUJISAKI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Kalman's Recognition of Chaotic Dynamics in Designing Markov Information Sources},
year={1999},
volume={E82-A},
number={9},
pages={1747-1753},
abstract={Recently there have been several attempts to construct a Markov information source based on chaotic dynamics of the PLM (piecewise-linear-monotonic) onto maps. Study, however, soon informs us that Kalman's 1956 embedding of a Markov chain is to be highly appreciated. In this paper Kalman's procedure for embedding a prescribed Markov chain into chaotic dynamics of the PLM onto map is revisited and improved by using the PLM onto map with the minimum number of subintervals.},
keywords={},
doi={},
ISSN={},
month={September},}
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TY - JOUR
TI - Kalman's Recognition of Chaotic Dynamics in Designing Markov Information Sources
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1747
EP - 1753
AU - Tohru KOHDA
AU - Hiroshi FUJISAKI
PY - 1999
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E82-A
IS - 9
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - September 1999
AB - Recently there have been several attempts to construct a Markov information source based on chaotic dynamics of the PLM (piecewise-linear-monotonic) onto maps. Study, however, soon informs us that Kalman's 1956 embedding of a Markov chain is to be highly appreciated. In this paper Kalman's procedure for embedding a prescribed Markov chain into chaotic dynamics of the PLM onto map is revisited and improved by using the PLM onto map with the minimum number of subintervals.
ER -
English
