302 citations · 1.3k across the 23 of their papers we have counts for
22 papers
Visualization of Oscillatory Electron Dynamics on the Surface of Liquid Helium
Hala Siddiq, Kostyantyn Nasyedkin, Kimitoshi Kono +4
We have measured signals induced in 5 Corbino electrodes by spontaneous oscillations of 2D surface electrons on liquid helium at 0.3\,K, with a perpendicular magnetic field a…
Limitations of the asymptotic approach to dynamics
Julian Newman, Maxime Lucas, Aneta Stefanovska
Standard dynamical systems theory is centred around the coordinate-invariant asymptotic-time properties of autonomous systems. We identify three limitations of this approach. First…
Nonautonomous driving induces stability in network of identical oscillators
Maxime Lucas, Duccio Fanelli, Aneta Stefanovska
Nonautonomous driving of an oscillator has been shown to enlarge the Arnold tongue in parameter space, but little is known about the analogous effect for a network of oscillators.…
Stabilisation of dynamics of oscillatory systems by non-autonomous perturbation
Maxime Lucas, Julian Newman, Aneta Stefanovska
Synchronisation and stability under periodic oscillatory driving are well-understood, but little is known about the effects of aperiodic driving, despite its abundance in nature. H…
Coupling functions: Universal insights into dynamical interaction mechanisms
Tomislav Stankovski, Tiago Pereira, Peter V. E. McClintock +1
The dynamical systems found in Nature are rarely isolated. Instead they interact and influence each other. The coupling functions that connect them contain detailed information abo…
Generalized chronotaxic systems: time-dependent oscillatory dynamics stable under continuous perturbation
Yevhen F. Suprunenko, Aneta Stefanovska
Chronotaxic systems represent deterministic nonautonomous oscillatory systems which are capable of resisting continuous external perturbations while having a complex time-dependent…