Numerical studies of reaction–diffusion systems which consist of chaotic oscillators are carried out. The Rössler oscillators are used, which are arranged two–dimensionally and coupled by diffusion. Pacemakers where the average periods of the oscillators are artificially changed are set to produce target patterns. It is found that target patterns emerge from pacemakers and grow up as if they were in a regular oscillatory medium. The wavelength of the pattern can be varied and controlled by changing the parameters (size and frequency) of the pacemaker. The behavior of the coupled system depends on the size of the system and the strength of the pacemaker. When the system size is large, the Poincar
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Hiroyuki NAGASHIMA, "Numerical Studies of Pattern Formation and Lyapunov Exponents in Chaotic Reaction–Diffusion Systems" in IEICE TRANSACTIONS on Fundamentals,
vol. E77-A, no. 11, pp. 1806-1810, November 1994, doi: .
Abstract: Numerical studies of reaction–diffusion systems which consist of chaotic oscillators are carried out. The Rössler oscillators are used, which are arranged two–dimensionally and coupled by diffusion. Pacemakers where the average periods of the oscillators are artificially changed are set to produce target patterns. It is found that target patterns emerge from pacemakers and grow up as if they were in a regular oscillatory medium. The wavelength of the pattern can be varied and controlled by changing the parameters (size and frequency) of the pacemaker. The behavior of the coupled system depends on the size of the system and the strength of the pacemaker. When the system size is large, the Poincar
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e77-a_11_1806/_p
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@ARTICLE{e77-a_11_1806,
author={Hiroyuki NAGASHIMA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Numerical Studies of Pattern Formation and Lyapunov Exponents in Chaotic Reaction–Diffusion Systems},
year={1994},
volume={E77-A},
number={11},
pages={1806-1810},
abstract={Numerical studies of reaction–diffusion systems which consist of chaotic oscillators are carried out. The Rössler oscillators are used, which are arranged two–dimensionally and coupled by diffusion. Pacemakers where the average periods of the oscillators are artificially changed are set to produce target patterns. It is found that target patterns emerge from pacemakers and grow up as if they were in a regular oscillatory medium. The wavelength of the pattern can be varied and controlled by changing the parameters (size and frequency) of the pacemaker. The behavior of the coupled system depends on the size of the system and the strength of the pacemaker. When the system size is large, the Poincar
keywords={},
doi={},
ISSN={},
month={November},}
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TY - JOUR
TI - Numerical Studies of Pattern Formation and Lyapunov Exponents in Chaotic Reaction–Diffusion Systems
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1806
EP - 1810
AU - Hiroyuki NAGASHIMA
PY - 1994
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E77-A
IS - 11
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - November 1994
AB - Numerical studies of reaction–diffusion systems which consist of chaotic oscillators are carried out. The Rössler oscillators are used, which are arranged two–dimensionally and coupled by diffusion. Pacemakers where the average periods of the oscillators are artificially changed are set to produce target patterns. It is found that target patterns emerge from pacemakers and grow up as if they were in a regular oscillatory medium. The wavelength of the pattern can be varied and controlled by changing the parameters (size and frequency) of the pacemaker. The behavior of the coupled system depends on the size of the system and the strength of the pacemaker. When the system size is large, the Poincar
ER -