NCTAM papers, National Congress of Theoretical and Applied Mechanics, Japan
The 64th Japan National Congress for Theoretical and Applied
Session ID : GS4-06
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GS4
Dependence of spatial structure of coexisting multiple solutions in nonlinear PDE system on random noises
Itaru HATAUE
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Abstract

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.

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© 2017 The Japan Society of Mechanical Engineers
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