Title: “Theoretical and Numerical Analysis of Fractional-Order Dynamical Systems and Applications”
Project leader: Conf. Dr. Eva Kaslik
The main goal of this project is to study qualitative properties of fractional-order dynamical systems such as asymptotic stability and instability, occurrence of bifurcation phenomena and chaotic behavior, and existence of almost periodic solutions. Moreover, this project also aims to develop reliable sequential and parallel algorithms for the accurate numerical estimation of the solutions of fractional-order dynamical systems with or without delays, over large time intervals. The obtained results will be applied to the theoretical and numerical investigation of fractional-order models of neuronal activity and to fractional-order dynamical network models.