Unfoldings and Bifurcations of Polynomial Differential Systems

Project Information

UBPDS

Grant agreement ID: 655212

DOI 10.3030/655212

Project closed

EC signature date 1 September 2015

Start date 30 June 2016

End date 29 June 2017

Funded under

• EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions

Total cost € 78 643,80

EU contribution € 78 643,80

Coordinated by

CENTER ZA UPORABNO MATEMATIKO IN TEORETICNO FIZIKO UNIVERZE V MARIBORU
Slovenia

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.

Fields of science

• natural sciences › mathematics › applied mathematics › dynamical systems
• natural sciences › chemical sciences
• natural sciences › mathematics › applied mathematics › mathematical model

Programme(s)

• H2020-EU.1.3. - EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions Main Programme
• H2020-EU.1.3.2. - Nurturing excellence by means of cross-border and cross-sector mobility

Topic(s)

• MSCA-IF-2014-EF - Marie Skłodowska-Curie Individual Fellowships (IF-EF)

Call for proposal

H2020-MSCA-IF-2014

Funding Scheme

MSCA-IF-EF-ST - Standard EF

Coordinator

CENTER ZA UPORABNO MATEMATIKO IN TEORETICNO FIZIKO UNIVERZE V MARIBORU

• Net EU contribution: € 78 643,80
• Address: MLADINSKA ULICA 3 ; 2000 MARIBOR ; Slovenia
• Region: Slovenija › Vzhodna Slovenija › Podravska
• Activity type: Research Organisations
• Total cost: € 78 643,80