Chaos and Periodic Oscillation of a Multirate Sampled-Data Dynamical System

Tadashi TSUBONE; Noriyoshi KAMBAYASHI

doi:10.1093/ietfec/e90-a.9.1924

Chaos and Periodic Oscillation of a Multirate Sampled-Data Dynamical System

Tadashi TSUBONE, Noriyoshi KAMBAYASHI

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In this paper, we consider a simple nonlinear system which consists of a chaotic system and multirate sample-hold controllers. The proposed system exhibits some stabilized Unstable Periodic Orbits which are embedded on the chaos attractor of the original chaotic system. We provide a condition to stabilize Unstable Periodic Orbits and its domain of attraction. Some theoretical results are verified in the experimental circuit.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E90-A No.9 pp.1924-1931

Publication Date: 2007/09/01

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Online ISSN: 1745-1337

DOI: 10.1093/ietfec/e90-a.9.1924

Type of Manuscript: PAPER

Category: Nonlinear Problems

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Tadashi TSUBONE, Noriyoshi KAMBAYASHI, "Chaos and Periodic Oscillation of a Multirate Sampled-Data Dynamical System" in IEICE TRANSACTIONS on Fundamentals, vol. E90-A, no. 9, pp. 1924-1931, September 2007, doi: 10.1093/ietfec/e90-a.9.1924.
Abstract: In this paper, we consider a simple nonlinear system which consists of a chaotic system and multirate sample-hold controllers. The proposed system exhibits some stabilized Unstable Periodic Orbits which are embedded on the chaos attractor of the original chaotic system. We provide a condition to stabilize Unstable Periodic Orbits and its domain of attraction. Some theoretical results are verified in the experimental circuit.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e90-a.9.1924/_p

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@ARTICLE{e90-a_9_1924,
author={Tadashi TSUBONE, Noriyoshi KAMBAYASHI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Chaos and Periodic Oscillation of a Multirate Sampled-Data Dynamical System},
year={2007},
volume={E90-A},
number={9},
pages={1924-1931},
abstract={In this paper, we consider a simple nonlinear system which consists of a chaotic system and multirate sample-hold controllers. The proposed system exhibits some stabilized Unstable Periodic Orbits which are embedded on the chaos attractor of the original chaotic system. We provide a condition to stabilize Unstable Periodic Orbits and its domain of attraction. Some theoretical results are verified in the experimental circuit.},
keywords={},
doi={10.1093/ietfec/e90-a.9.1924},
ISSN={1745-1337},
month={September},}

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TY - JOUR
TI - Chaos and Periodic Oscillation of a Multirate Sampled-Data Dynamical System
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1924
EP - 1931
AU - Tadashi TSUBONE
AU - Noriyoshi KAMBAYASHI
PY - 2007
DO - 10.1093/ietfec/e90-a.9.1924
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E90-A
IS - 9
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - September 2007
AB - In this paper, we consider a simple nonlinear system which consists of a chaotic system and multirate sample-hold controllers. The proposed system exhibits some stabilized Unstable Periodic Orbits which are embedded on the chaos attractor of the original chaotic system. We provide a condition to stabilize Unstable Periodic Orbits and its domain of attraction. Some theoretical results are verified in the experimental circuit.
ER -