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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Spatial bifurcation ： ウィキペディア英語版 Spatial bifurcation Spatial bifurcation is a form of bifurcation theory. The classic bifurcation analysis is referred to as an ordinary differential equation system, which is independent on the spatial variables. However, most realistic systems are spatially dependent. In order to understand spatial variable system (partial differential equations), some scientists try to treat with the spatial variable as time and use the AUTO package get a bifurcation results.〔Wang, R.H., Liu, Q.X., Sun, G.Q., Jin, Z., and Van de Koppel, J. 2010. Nonlinear dynamic and pattern bifurcations in a model for spatial patterns in young mussel beds. Journal of the Royal Society Interface, 6(37):705–18〕〔A Yochelis et al The formation of labyrinths, spots and stripe patterns in a biochemical approach to cardiovascular calcification, 2008 New J. Phys. 10 055002〕 The weak nonlinear analysis will not provide substantial insights into the nonlinear problem of pattern selection. To understand the pattern selection mechanism, we exploit first the method of spatial dynamics,〔Champneys A R 1998 Physica D 112 158–86〕 which was found to be an effective method exploring the multiplicity of steady state solutions.〔〔Knobloch E 2008 Nonlinearity 21 T45–60〕 ==See also== * Spatial ecology 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Spatial bifurcation」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.