CORDIS Project
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This project explores the classification and bifurcations of planar polynomial differential systems with specific topological structures. It aims to provide mathematical insights into the behavior of these systems and their applications in biological models.
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 explanati…
CENTER ZA UPORABNO MATEMATIKO IN TEORETICNO FIZIKO UNIVERZE V MARIBORU
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