1.6k citations · 2.2k across the 17 of their papers we have counts for
4 papers · 1 filter
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…
Desynchronization induced by time-varying network
Maxime Lucas, Duccio Fanelli, Timoteo Carletti +1
The synchronous dynamics of an array of excitable oscillators, coupled via a generic graph, is studied. Non homogeneous perturbations can grow and destroy synchrony, via a self-con…