The team leader is Lenka, who started to build a team with Veronika during her doctoral studies. In 2023, Deeptajyoti joined the team, supported by the Marie Skłodowska-Curie Actions fellowship. Jakub, who has recently completed his doctoral studies, and PhD student Jan, are collaborating with the team. Štěpán, Markéta, and Bára, master's students, are working under the supervision of team members on the research. Other bachelor's and master's students are also collaborating.
Our latest research focuses on synchronizations from the bifurcation point of view. We contribute to topics related to an understanding of the synchronized coupled neurons, Josephson junctions, population dynamics field, and seasonal model in ecology and epidemiology. We have noticed that the theory of bifurcations of limit cycles and the torus birth N-S bifurcation (Hopf-Hopf, respectively) is usually not used in applied research publications. One reason is that forced oscillations are usually studied as non-autonomous systems with harmonic driving. The unboundedness of phase variables in such models presents an open challenge for studying their bifurcations through standard numerical continuation techniques. Embedding into a higher dimensional space with forcing given by the master oscillator described by normal Hopf bifurcation form implies a stable continuation of bifurcation manifolds in Matcont and a good starting point to study the system dynamics.
Our team received GAMU Interdisciplinary funding, in collaboration with St. Anne's University Hospital Brno and the Institute of Scientific Instruments CAS, for research on very high-frequency oscillations in the EEG signals of epilepsy patients. We have international cooperation on topics related to synchronized coupled neurons with Prof. Hil Meijer from University of Twente, and on topics related to Josephson junctions with Prof. Andre Botha from UNISA.