NORMAL FORM FOR SPATIAL DYNAMICS IN THE SWIFT-HOHENBERG EQUATION
NORMAL FORM FOR SPATIAL DYNAMICS IN THE SWIFT-HOHENBERG EQUATION
复制标题
斯威夫特-霍恩伯格方程中空间动力学的范式
DOI：
10.3934/proc.2007.2007.170
复制
发表时间：
2007
影响因子：
2.2
通讯作者：
E. Knobloch
中科院分区：
文献类型：
--
作者：
J. Burke;E. Knobloch
关键在于1：1共振的可逆Hopf分岔
在真实的直线上的许多偏微分方程中存在空间定域稳态。两种不同的技术，用于计算这种分歧的规范形式，并适用于Swift-Hohenberg方程的三次/五次和二次/三次非线性。
The reversible Hopf bifurcation with 1:1 resonance holds the key
to the presence of spatially localized steady states in many partial differential equations on the real line. Two different techniques for computing the normal form for this bifurcation are described and applied to the Swift-Hohenberg equation with cubic/quintic and quadratic/cubic nonlinearities.