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UBPDS

Unfoldings and Bifurcations of Polynomial Differential Systems

Total Cost €

EC-Contrib. €

Partnership

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Outcomes and
results

UBPDS project word cloud

Explore the words cloud of the UBPDS project. It provides you a very rough idea of what is the project "UBPDS" about.

existence unfoldings explanation specially give polynomial equilibria differential rigourous bio classify prove models planar discussed topological degeneracy degenerate structure bifurcations portraits versal mathematical degree presented centers unfolding

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 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.	SI (MARIBOR)	coordinator	78˙643.00

Map

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

List of publications.
year	authors and title	journal	last update
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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