Tahir Cosgun előadást tart a Matematika Tanszéken.
Pannon Egyetem Matematika Tanszékének és a VEAB Matematikai Analízis és Alkalmazási Munkabizottságának szervezésében
Dr. Tahir Cosgun
Department of Mathematics, Amasya University, Turkey
2026. május 5. (kedd) 12:00 órakor
Unstable Equilibria of Some Dynamical Systems
címmel előadást tart a Pannon Egyetem Matematika Tanszék könyvtárában (Veszprém, Egyetem utca 10., I épület, 3. emelet, 314-es szoba)
Az előadásra minden érdeklődőt szeretettel várunk!
Abstract: Although there are various numerical techniques to find the stable equilibria of a dynamical system in scientific computing, no widely-used computational approach has been encountered to discover the unstable equilibria of a system in the literature. This talk aims to present a new approach to uncover the equilibrium positions of a dynamical system exhibiting a repelling nature. A newly developed algorithm called the reversed fixed point iteration method (RFPIM) is presented to find the unstable equilibrium positions of a nonlinear system. The current method is able to uncover the behaviour of a nonlinear system near the unstable equilibria by preserving the realistic features of the system. In this respect, it is mathematically proven and numerically observed that the present approach has various superiorities over the conventional approach, which will be demonstrated through phenomena such as population dynamics and advection-diffusion processes.