52 citations · 54 across the 6 of their papers we have counts for
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patt-sol1996★ 1 cited
Twisted and Nontwisted Bifurcations Induced by Diffusion
Xiao-Biao Lin
We discuss a diffusively perturbed predator-prey system. Freedman and Wolkowicz showed that the corresponding ODE can have a periodic solution that bifurcates from a homoclinic loo…
patt-sol1996
Shadowing matching errors for wave-front-like solutions
Xiao-Biao Lin
Consider a singularly perturbed system Assume that the system has a sequence of regular and internal lay…
patt-sol1996
Local and Global Existence of Multiple Waves Near Formal Approximations
Xiao-Biao Lin
Assuming that a formal approximation of multiple waves has been obtained by matched asymptotic methods, we derive a {\em Spatial Shadowing lemma} to construct exact solutions near…