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International projects source: SICRIS

Unfoldings and Bifurcations of Polynomial Differential Systems

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Organisations (1)
no. Code Research organisation City Registration number No. of publications
1.  0176  Center for Applied Mathematics and Theoretical Physics  Maribor  5501890000  1,090 
Abstract
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.
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