| 词条 | Spatial bifurcation |
| 释义 |
The weak nonlinear analysis will not provide substantial insights into the nonlinear problem of pattern selection. To understand the pattern selection mechanism, the method of spatial dynamics is used,[4] which was found to be an effective method exploring the multiplicity of steady state solutions.[3][5] See also
References1. ^http://indy.cs.concordia.ca/auto/ {{mathanalysis-stub}}2. ^{{cite journal|author=Wang, R.H., Liu, Q.X., Sun, G.Q., Jin, Z., and Van de Koppel, J.|year=2010|title=Nonlinear dynamic and pattern bifurcations in a model for spatial patterns in young mussel beds|journal=Journal of the Royal Society Interface|volume=6|issue=37|pages=705–18|doi=10.1098/rsif.2008.0439 |pmid=18986965|pmc=2839941}} 3. ^1 {{cite journal|author=A Yochelis|title=The formation of labyrinths, spots and stripe patterns in a biochemical approach to cardiovascular calcification|year=2008|journal=New J. Phys.|volume=10 055002|issue=5|pages=055002|display-authors=etal|arxiv=0712.3780|doi=10.1088/1367-2630/10/5/055002}} 4. ^{{cite journal|title=Homoclinic orbits in reversible systems and their applications in mechanics, fluids and optics|author=Champneys A R|year=1998|journal=Physica D|volume=112|issue=1–2|pages=158–86|doi=10.1016/S0167-2789(97)00209-1|citeseerx=10.1.1.30.3556}} 5. ^{{cite journal|doi=10.1088/0951-7715/21/4/T02|author=Edgar Knobloch|year=2008|journal=Nonlinearity|volume=21|issue=4|pages=T45–60|title=Spatially localized structures in dissipative systems: open problems|url=https://scholar.google.com/citations?view_op=view_citation&hl=en&user=4eI-QDkAAAAJ&citation_for_view=4eI-QDkAAAAJ:5nxA0vEk-isC}} 1 : Bifurcation theory |
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