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UBPDS

Unfoldings and Bifurcations of Polynomial Differential Systems

Total Cost €

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EC-Contrib. €

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Partnership

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Project "UBPDS" data sheet

The following table provides information about the project.

Coordinator
UNIVERZA V MARIBORU, CENTER ZA UPORABNO MATEMATIKO IN TEORETICNO FIZIKO P.O. ZAVOD 

Organization address
address: KREKOVA ULICA 2
city: MARIBOR
postcode: 2000
website: www.camtp.uni-mb.si

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
telephone: n.a.
fax: n.a.

 Coordinator Country Slovenia [SI]
 Project website http://www.camtp.uni-mb.si/camtp/UBPDS/
 Total cost 78˙643 €
 EC max contribution 78˙643 € (100%)
 Programme 1. H2020-EU.1.3.2. (Nurturing excellence by means of cross-border and cross-sector mobility)
 Code Call H2020-MSCA-IF-2014
 Funding Scheme MSCA-IF-EF-ST
 Starting year 2016
 Duration (year-month-day) from 2016-06-30   to  2017-06-29

 Partnership

Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    UNIVERZA V MARIBORU, CENTER ZA UPORABNO MATEMATIKO IN TEORETICNO FIZIKO P.O. ZAVOD SI (MARIBOR) coordinator 78˙643.00

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 Project objective

We investigate the versal unfolding and bifurcations of planar polynomial differential systems having some topological structure. Specially, we classify the systems of high degree which have centers or degenerate equilibria. Then we study the degeneracy of the system and prove the existence of versal unfoldings. All possible bifurcations of unfolding systems will be discussed and topological phase portraits of the systems are presented. Finally, we give a rigourous mathematical explanation for our results in some bio-mathematical models.

 Publications

year authors and title journal last update
List of publications.
2017 Wilker Fernandes, Valery G. Romanovski, Marzhan Sultanova, Yilei Tang
Isochronicity and linearizability of a planar cubic system
published pages: , ISSN: 0022-247X, DOI: 10.1016/j.jmaa.2017.01.058
Journal of Mathematical Analysis and Applications 2019-07-25
2017 Valery G. Romanovski, Wilker Fernandes, Yilei Tang, Yun Tian
Linearizability and critical period bifurcations of a generalized Riccati system
published pages: , ISSN: 0924-090X, DOI: 10.1007/s11071-017-3659-y
Nonlinear Dynamics 2019-07-25
2017 Yilei Tang, Dongmei Xiao, Weinian Zhang, Di Zhu
Dynamics of epidemic models with asymptomatic infection and seasonal succession
published pages: 1407-1424, ISSN: 1551-0018, DOI: 10.3934/mbe.2017073
Mathematical Biosciences and Engineering 14/5/6 2019-07-25

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