Extinction of Oscillation in a Reaction-Diffusion System

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概要

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• We have nttrnerically sttrdied a phenomenon, "the extinction of oscillation", in a reaction-diffusion systern; all the oscillators stop together in a [inaited region of the system size. Inthe ntrrnerical experiunezats, xve adopted a rnodel of tlae van der Pot oscillator with or withotrtpacetnakers. We fotund that the extinction of' oscillation OCCLIIS when the size of' the systetn N iscomparatively sunall. In order to explain tlae nttmerical restrlts fox' tlae case of no pacenuakers, wehave developed a theory for the systezn xvith the van der Pot oscillators, in which the Dirichletboundary condition is satisfied. The theory predicts that the systerrt breaks otzt, extincting trueoscillation as expected, when the size of the systetn N corresponds to a critical size ,V. and tlneoscillators never oscillate for a size N srnaller than Y.. The theory also successftrlly explains theoscillating pattern and its maxirnum aznplittrde of the oscillation in the region of a system sizelarger than N..

• 社団法人日本物理学会の論文
• 1998-02-15

著者

• MAHARA Hitoshi

  Department of Physics,Faculty of Science,Shizuoka University

• NAGASHIMA Hiroyuki

  Department of Physics,Faculty of Science,Shizuoka University

• Mahara Hitoshi

  Department Of Physics Faculty Of Science Shizuoka University

• Nagashima Hiroyuki

  Department Of Liberal Arts Shizuoka University

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