Dynamics of self-replicating patterns in the one-dimensional Gray-Scott model

D Ueyama - Hokkaido mathematical journal, 1999 - projecteuclid.org
We study the self-replicating pattern (SRP) thatis observed in the one-dimensional Gray-
Scott model from aglobal bifurcational view point. It is shown that the existence of the
hierarchy structure of the limiting points of stationary Turing patterns causes SRP of static
type as an aftereffect. The main difficulty lies in the fact that SRP is areal transient
phenomenon and it can notbe captured as an invariant set in afunction space. The
aftereffect is the reflection of the fact that each element of hierarchy structure is connected by …

[引用][C] Dynamics of self-replicating patterns in the one-dimensional Gray-Scott model

上山大信 - 1998 - ci.nii.ac.jp
Dynamics of self-replicating patterns in the one-dimensional Gray-Scott model 一次元
Gray-Scottモデルにおける自己複製パターンのダイナミクス … Dynamics of self-replicating
patterns in the one-dimensional Gray-Scott model … 一次元Gray-Scottモデルにおける自己
複製パターンのダイナミクス …
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