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Integrability conditions of planar polynomial systems of ODE’s

LecturerBrigita Fercec(professor)

Lecture TimeOn September 24, 2019 (Tuesday)14:30-15:45

Lecture LocationMingliBuildingC302B

About the Lecturer:

Prof. DR.Brigita Fercec, she is an assistant professor at Faculty of Energy technology of University of Maribor. She got her Ph. Degree in Mathematics in 2013. Her advisor is Prof. Valery Romanovski and Prof. Douglas Shafer, a professor of University of North Carolina at Charlotte. Her research interests include symbolic computation and bifurcation theory of differential systems.

Abstract: We present an approach to finding general conditions for integrability of a given family of two-dimensional polynomial systems using conditions computed when some parameters were fixed. We apply it to obtain integrability conditions for a Lotka-Volterra planar complex quartic system having homogeneous nonlinearities. Then, we also study bifurcations of limit cycles from each component of the center variety of the corresponding quartic real system.

Students and staff are welcome!

Host Organizations

Department of Science and Technology

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