Bifurcations in Kuramoto–Sivashinsky equations

被引：0
作者：
S. A. Kashchenko
机构：
[1] Demidov Yaroslavl State University,
[2] National Research Nuclear University “MIFI,undefined
[3] ”,undefined
来源：
Theoretical and Mathematical Physics | 2017年 / 192卷
关键词：
bifurcation; stability; normal form; singular perturbation; dynamics;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider the local dynamics of the classical Kuramoto–Sivashinsky equation and its generalizations and study the problem of the existence and asymptotic behavior of periodic solutions and tori. The most interesting results are obtained in the so-called infinite-dimensional critical cases. Considering these cases, we construct special nonlinear partial differential equations that play the role of normal forms and whose nonlocal dynamics thus determine the behavior of solutions of the original boundary value problem.
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页码：958 / 973
页数：15
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