17. 12. 2025
Michaela Záškolná, Dynamics on Mahavier product.
3. 12. 2025
Kryštof Bačík, Pythagorské trojice a Eulerova cihla,
Lucie Černá, Jednoduchý diskrétní model jako vysvětlení vnitřní dynamiky Covidu-19,
Rostislav Klech, Několik vlastností uspořádání digrafů s m vrcholy podle topologické entropie.
26. 11. 2025
Oleksander Burylko (Institute of Mathematics, NAS of Ukraine; Humboldt-Universität zu Berlin), Reversible saddle-node separatrix-loop bifurcation.
Abstract: We describe the unfolding of a special variant of the codimension-two Saddle-Node Separatrix-Loop (SNSL) bifurcation that occurs in systems with time-reversibility. While the classical SNSL bifurcation can be characterized as the collision of a saddle-node equilibrium with a limit cycle, the reversible variant (R-SNSL) is characterised by as the collision of a saddle-node equilibrium with a boundary separating a dissipative and a conservative region in phase space. Moreover, we present several reversible versions of the SNIC (Saddle-Node on Invariant Circle) bifurcation and discuss the role of an additional reversible saddle equilibrium in all these scenarios. As an example, we provide a detailed bifurcation scenario for a reversible system of two coupled phase rotators (a system on a 2D torus) involving a R-SNSL bifurcation.
1. 10. 2025
Veronika Rýžová, Recurrence and Invariance of Backward limit points.
Seminař se koná zpravidla každý lichý týden ve středu od 13:05 do 14:40 v učebně R1.