21 citations · 21 across the 2 of their papers we have counts for
4 papers
Higher order interactions in Kuramoto oscillators with inertia
Patrycja Jaros, Subrata Ghosh, Dawid Dudkowski +2
How higher-order interactions influence the dynamics of second order phase oscillators? We address this question using three coupled Kuramoto phase oscillators with inertia under b…
Solitary states for coupled oscillators
Patrycja Jaros, Serhiy Brezetsky, Roman Levchenko +3
We demonstrate that solitary states can be widely observed for networks of coupled oscillators with local, non-local and global couplings, and they preserve in both thermodynamic a…
Perpetual points: New tool for localization of co-existing attractors in dynamical systems
Dawid Dudkowski, Awadhesh Prasad, Tomasz Kapitaniak
Perpetual points (PPs) are special critical points for which the magnitude of acceleration describing dynamics drops to zero, while the motion is still possible (stationary points…
Perpetual points and periodic perpetual loci in maps
Dawid Dudkowski, Awadhesh Prasad, Tomasz Kapitaniak
We introduce the concepts of perpetual points and periodic perpetual loci in discrete--time systems (maps). The occurrence and analysis of these points/loci are shown and basic exa…