| | SLO | ENG | Cookies and privacy

Bigger font | Smaller font
First page > Show document

Show document Help

Title:Computation of focus quantities of three-dimensional polynomial systems
Authors:ID Romanovski, Valery (Author)
ID Shafer, Douglas (Author)
Files:.pdf Journal_of_Shanghai_Normal_University_(Natural_Sciences_·_Mathematics)_2014_G．_Romanovski,_Shafer_Computation_of_focus_quantities_of_t.pdf (486,16 KB)
MD5: 79C2FAA79CC71F57A8C8F6753AB68C0A
PID: 20.500.12556/dkum/3830b9f2-76d0-4cc3-9e48-f1e82f2a1c0f
 
URL http://qktg.shnu.edu.cn/zrb/shsfqkszrben/ch/reader/view_abstract.aspx?file_no=201405010&flag=1
 
Language:English
Work type:Unknown
Typology:1.01 - Original Scientific Article
Organization:FNM - Faculty of Natural Sciences and Mathematics
Abstract:Fix a collection of polynomial vector fields on $R^3$ with a singularity at the origin, for every one of which the linear part at the origin has two pure imaginary and one non-zero eigenvalue. Some such systems admit a local analytic first integral, which then defines a local center manifold of the system.Conditions for existence of a first integral are given by the vanishing certain polynomial or rational functions in the coefficients of the system called focus quantities. In this paper we prove that the focus quantities have a structure analogous to that in the two-dimensional case and use it to formulate an efficient algorithm for computing them.
Keywords:integrability, focus quantities, center conditions
Publication status:Published
Publication version:Version of Record
Year of publishing:2014
Number of pages:str. 529-544
Numbering:Letn. 43, št. 5
PID:20.500.12556/DKUM-67194 New window
ISSN:Y507-6781
UDC:517.9
ISSN on article:Y507-6781
COBISS.SI-ID:20981768 New window
NUK URN:URN:SI:UM:DK:VFEI6KHA
Publication date in DKUM:07.08.2017
Views:1553
Downloads:143
Metadata:XML DC-XML DC-RDF
Categories:Misc.
:
Copy citation
  
Average score:(0 votes)
Your score:Voting is allowed only for logged in users.
Share:Bookmark and Share



Hover the mouse pointer over a document title to show the abstract or click on the title to get all document metadata.

Record is a part of a journal

Title:Journal of Shanghai Normal University (Natural Sciences)
Publisher:Academic Journals Center of Shanghai Normal University
ISSN:Y507-6781
COBISS.SI-ID:20968456 New window

Document is financed by a project

Funder:EC - European Commission
Funding programme:FP7
Project number:316338
Name:Dynamical Systems and Their Applications
Acronym:DYNSYSAPLL

Licences

License:CC BY-SA 4.0, Creative Commons Attribution-ShareAlike 4.0 International
Link:http://creativecommons.org/licenses/by-sa/4.0/
Description:This Creative Commons license is very similar to the regular Attribution license, but requires the release of all derivative works under this same license.
Licensing start date:07.08.2017

Secondary language

Language:Slovenian
Keywords:integrabilnost, fokusne količine, stanje centra


Comments

Leave comment

You must log in to leave a comment.

Comments (0)
0 - 0 / 0
 
There are no comments!

Back
Logos of partners University of Maribor University of Ljubljana University of Primorska University of Nova Gorica