Codimension 3 bifurcation from orbit-flip homoclinic orbit of weak type | Zendy

Qiuying Lu | Zendy; Guifeng Deng | Zendy; Luo Hua | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Codimension 3 bifurcation from orbit-flip homoclinic orbit of weak type

Author(s) -

Qiuying Lu,

Guifeng Deng,

Luo Hua

Publication year - 2015

Publication title -

electronic journal of qualitative theory of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.524

H-Index - 33

ISSN - 1417-3875

DOI - 10.14232/ejqtde.2015.1.71

Subject(s) - homoclinic orbit , codimension , orbit (dynamics) , homoclinic bifurcation , mathematics , bifurcation , heteroclinic orbit , mathematical analysis , physics , nonlinear system , aerospace engineering , quantum mechanics , engineering

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 1homoclinic orbit, 1-periodic orbit, 2n-homoclinic orbit and 2n-periodic orbit for arbitrary integer n. Our strategy is based on the local moving coordinates method.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research