62 citations · 80 across the 2 of their papers we have counts for
4 papers
Synchronization patterns in rings of time-delayed Kuramoto oscillators
Károly Dénes, Bulcsú Sándor, Zoltán Néda
Phase-locked states with a constant phase shift between the neighboring oscillators are studied in rings of identical Kuramoto oscillators with time-delayed nearest-neighbor coupli…
Chaos in time delay systems, an educational review
Hendrik Wernecke, Bulcsú Sándor, Claudius Gros
The time needed to exchange information in the physical world induces a delay term when the respective system is modeled by differential equations. Time delays are hence ubiquitous…
Pattern selection in a ring of Kuramoto oscillators
Károly Dénes, Bulcsú Sándor, Zoltán Néda
Emergence of generalized synchronization patterns in a ring of identical and locally coupled Kuramoto-type rotators are investigated by different methods. These approaches offer a…
Attractor metadynamics in terms of target points in slow-fast systems: adiabatic vs. symmetry protected flow in a recurrent neural network
Hendrik Wernecke, Bulcsú Sándor, Claudius Gros
In dynamical systems with distinct time scales the time evolution in phase space may be influenced strongly by the fixed points of the fast subsystem. Orbits then typically follow…