@Article{AAM-34-1,
author = {Yancong, Xu and Tianzhu, Lan and Zhenxue, Wei},
title = {Localized Patterns of the Cubic-Quintic Swift-Hohenberg Equations with Two Symmetry-Breaking Terms},
journal = {Annals of Applied Mathematics},
year = {2018},
volume = {34},
number = {1},
pages = {94--110},
abstract = {<p style="text-align: justify;">Homoclinic snake always refers to the branches of homoclinic orbits near a
heteroclinic cycle connecting a hyperbolic or non-hyperbolic equilibrium and
a periodic orbit in a reversible variational system. In this paper, the normal form of a Swift-Hohenberg equation with two different symmetry-breaking
terms (non-reversible term and non-$k$-symmetry term) are investigated by using multiple scale method, and their bifurcation diagrams are initially studied
by numerical simulations. Typically, we predict numerically the existence of so-called round-snakes and round-isolas upon particular two symmetric-breaking
perturbations.</p>},
issn = {},
doi = {https://doi.org/2018-AAM-20565},
url = {https://global-sci.com/article/72709/localized-patterns-of-the-cubic-quintic-swift-hohenberg-equations-with-two-symmetry-breaking-terms}
}