Dependence of spatial structure of coexisting multiple solutions in nonlinear PDE system on random noises
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- HATAUE Itaru
- Kanazawa University
Bibliographic Information
- Other Title
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- 複数の解が共存する非線型偏微分方程式系の空間構造へのランダムノイズの影響
Abstract
<p>In this paper, dependence of spatial structure of coexisting multiple solutions in nonlinear PDE system on random noises was numerically studied. It has been reported that the locally connecting bistable solutions(LCBSs) which consist of two stable equilibrium solutions in the case of partial differential equations are obtained. In this work, two types of nonlinear PDE equations were adopted. One was the extended van der Pol oscillator model with diffusion term. Another was the reaction-diffusion system model. The dependence of stability of boundary of the LCBS on the randomness was discussed.</p>
Journal
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- NCTAM papers, National Congress of Theoretical and Applied Mechanics, Japan
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NCTAM papers, National Congress of Theoretical and Applied Mechanics, Japan 64 (0), GS4-06-, 2017
National Committee for IUTAM
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Details 詳細情報について
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- CRID
- 1390282763065418624
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- NII Article ID
- 130007510166
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- Text Lang
- ja
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- Data Source
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- JaLC
- CiNii Articles
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- Abstract License Flag
- Disallowed