Construction of a Piecewise Linear One-Dimensional Map Generating an Arbitrary Prescribed Tree Source

Yasutada OOHAMA; Mariko SUEMITSU; Tohru KOHDA

Construction of a Piecewise Linear One-Dimensional Map Generating an Arbitrary Prescribed Tree Source

Yasutada OOHAMA, Mariko SUEMITSU, Tohru KOHDA

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We consider the problem of constructing nonlinear dynamical systems that realize an arbitrary prescribed tree sources. We give a construction of dynamical systems by using piecewise-linear maps. Furthermore, we examine the obtained dynamical system to show that the structure of the memory of tree sources is characterized with some geometrical property of the constructed dynamical systems. Using a similar method, we also construct a dynamical system generating an arbitrary prescribed reverse tree source and show that the obtained dynamical system has some interesting geometrical property explicitly reflecting the tree structure of the memory of the reverse tree source.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E86-A No.9 pp.2251-2255

Publication Date: 2003/09/01

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Type of Manuscript: Special Section LETTER (Special Section on Nonlinear Theory and its Applications)

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Yasutada OOHAMA, Mariko SUEMITSU, Tohru KOHDA, "Construction of a Piecewise Linear One-Dimensional Map Generating an Arbitrary Prescribed Tree Source" in IEICE TRANSACTIONS on Fundamentals, vol. E86-A, no. 9, pp. 2251-2255, September 2003, doi: .
Abstract: We consider the problem of constructing nonlinear dynamical systems that realize an arbitrary prescribed tree sources. We give a construction of dynamical systems by using piecewise-linear maps. Furthermore, we examine the obtained dynamical system to show that the structure of the memory of tree sources is characterized with some geometrical property of the constructed dynamical systems. Using a similar method, we also construct a dynamical system generating an arbitrary prescribed reverse tree source and show that the obtained dynamical system has some interesting geometrical property explicitly reflecting the tree structure of the memory of the reverse tree source.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1587/e86-a_9_2251/_p

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@ARTICLE{e86-a_9_2251,
author={Yasutada OOHAMA, Mariko SUEMITSU, Tohru KOHDA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Construction of a Piecewise Linear One-Dimensional Map Generating an Arbitrary Prescribed Tree Source},
year={2003},
volume={E86-A},
number={9},
pages={2251-2255},
abstract={We consider the problem of constructing nonlinear dynamical systems that realize an arbitrary prescribed tree sources. We give a construction of dynamical systems by using piecewise-linear maps. Furthermore, we examine the obtained dynamical system to show that the structure of the memory of tree sources is characterized with some geometrical property of the constructed dynamical systems. Using a similar method, we also construct a dynamical system generating an arbitrary prescribed reverse tree source and show that the obtained dynamical system has some interesting geometrical property explicitly reflecting the tree structure of the memory of the reverse tree source.},
keywords={},
doi={},
ISSN={},
month={September},}

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TY - JOUR
TI - Construction of a Piecewise Linear One-Dimensional Map Generating an Arbitrary Prescribed Tree Source
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2251
EP - 2255
AU - Yasutada OOHAMA
AU - Mariko SUEMITSU
AU - Tohru KOHDA
PY - 2003
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E86-A
IS - 9
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - September 2003
AB - We consider the problem of constructing nonlinear dynamical systems that realize an arbitrary prescribed tree sources. We give a construction of dynamical systems by using piecewise-linear maps. Furthermore, we examine the obtained dynamical system to show that the structure of the memory of tree sources is characterized with some geometrical property of the constructed dynamical systems. Using a similar method, we also construct a dynamical system generating an arbitrary prescribed reverse tree source and show that the obtained dynamical system has some interesting geometrical property explicitly reflecting the tree structure of the memory of the reverse tree source.
ER -