Unfoldings and Bifurcations of Polynomial Differential Systems

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

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Funding Scheme

MSCA-IF-EF-ST - Standard EF

Coordinator

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

Net EU contribution

€ 78 643,80

Address

Krekova Ulica 2
2000 Maribor
Slovenia

Region

Slovenija › Vzhodna Slovenija › Podravska

Activity type

Research Organisations

Links

Other funding

€ 0,00