Volume 2, Issue 2 (4-2016)                   mmr 2016, 2(2): 51-64 | Back to browse issues page


XML Persian Abstract Print


Download citation:
BibTeX | RIS | EndNote | Medlars | ProCite | Reference Manager | RefWorks
Send citation to:

Gazor M, Sadri N. Orbital Normal Forms for a family of-zero Singularity. mmr 2016; 2 (2) :51-64
URL: http://mmr.khu.ac.ir/article-1-2585-en.html
Abstract:   (2654 Views)

Consider a Dynamical system x'=F(x,µ) such that its linear part has a pair of imaginary eigenvalues and one zero eigenvalue (Hopf zero singularity). Recently, the simplest normal form for this singular system has been obtained by sl(2) Lie algebra theory and the decomposition of space into three invariant subspaces. The normal form of this singular system is divided into three general cases. In this paper, the obtained results will be extended to orbital normal form and one of the three aforementioned cases will be discussed. The orbital obtained normal form will be simpler than the previous simplest normal form.

Full-Text [PDF 801 kb]   (1073 Downloads)    
Type of Study: S | Subject: alg
Received: 2017/01/16 | Revised: 2017/09/13 | Accepted: 2017/01/16 | Published: 2017/01/16 | ePublished: 2017/01/16

Add your comments about this article : Your username or Email:
CAPTCHA

Rights and permissions
Creative Commons License This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

© 2024 CC BY-NC 4.0 | Mathematical Researches

Designed & Developed by : Yektaweb