Codimension 3 bifurcation from orbit-flip homoclinic orbit of weak type
This article is devoted to the research of a new codimension 3 homoclinic orbit bifurcation, which is the orbit-flip of weak type. Such kind of homoclinic orbit is a degenerate case of the orbit-flip homoclinic orbit. We show the existence of 1-homoclinic orbit, 1-periodic orbit, $2^n$-homoclinic or...
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University of Szeged
2015-10-01
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doaj-99f566b98f3d428b8758c45d8102049d2021-07-14T07:21:27ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752015-10-0120157111210.14232/ejqtde.2015.1.713968Codimension 3 bifurcation from orbit-flip homoclinic orbit of weak typeQiuying Lu0Guifeng Deng1Hua Luo2Department of Mathematics, Zhejiang Sci-Tech University, Hangzhou, Zhejiang Province, 310018, ChinaSchool of Mathematics and Information Science, Shanghai Lixin University of Commerce, Shanghai, 201620, ChinaDepartment of Mathematics, Zhejiang Sci-Tech University, Hangzhou, Zhejiang, 310018, ChinaThis article is devoted to the research of a new codimension 3 homoclinic orbit bifurcation, which is the orbit-flip of weak type. Such kind of homoclinic orbit is a degenerate case of the orbit-flip homoclinic orbit. We show the existence of 1-homoclinic orbit, 1-periodic orbit, $2^n$-homoclinic orbit and $2^n$-periodic orbit for arbitrary integer $n$. Our strategy is based on the local moving coordinates method.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=3968homoclinicorbit-flipweak typelocal moving coordinates method. |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Qiuying Lu Guifeng Deng Hua Luo |
spellingShingle |
Qiuying Lu Guifeng Deng Hua Luo Codimension 3 bifurcation from orbit-flip homoclinic orbit of weak type Electronic Journal of Qualitative Theory of Differential Equations homoclinic orbit-flip weak type local moving coordinates method. |
author_facet |
Qiuying Lu Guifeng Deng Hua Luo |
author_sort |
Qiuying Lu |
title |
Codimension 3 bifurcation from orbit-flip homoclinic orbit of weak type |
title_short |
Codimension 3 bifurcation from orbit-flip homoclinic orbit of weak type |
title_full |
Codimension 3 bifurcation from orbit-flip homoclinic orbit of weak type |
title_fullStr |
Codimension 3 bifurcation from orbit-flip homoclinic orbit of weak type |
title_full_unstemmed |
Codimension 3 bifurcation from orbit-flip homoclinic orbit of weak type |
title_sort |
codimension 3 bifurcation from orbit-flip homoclinic orbit of weak type |
publisher |
University of Szeged |
series |
Electronic Journal of Qualitative Theory of Differential Equations |
issn |
1417-3875 1417-3875 |
publishDate |
2015-10-01 |
description |
This article is devoted to the research of a new codimension 3 homoclinic orbit bifurcation, which is the orbit-flip of weak type. Such kind of homoclinic orbit is a degenerate case of the orbit-flip homoclinic orbit. We show the existence of 1-homoclinic orbit, 1-periodic orbit, $2^n$-homoclinic orbit and $2^n$-periodic orbit for arbitrary integer $n$. Our strategy is based on the local moving coordinates method. |
topic |
homoclinic orbit-flip weak type local moving coordinates method. |
url |
http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=3968 |
work_keys_str_mv |
AT qiuyinglu codimension3bifurcationfromorbitfliphomoclinicorbitofweaktype AT guifengdeng codimension3bifurcationfromorbitfliphomoclinicorbitofweaktype AT hualuo codimension3bifurcationfromorbitfliphomoclinicorbitofweaktype |
_version_ |
1721303620946755584 |