4 papers
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…
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…
Classification of random circle homeomorphisms up to topological conjugacy
Thai Son Doan, Jeroen S. W. Lamb, Julian Newman +1
We provide a classification of random orientation-preserving homeomorphisms of , up to topological conjugacy of the random dynamical systems generated by i.i.d. itera…
A more "complete" version of the Pi-theorem: DRAFT
Julian Newman
The traditional Pi-theorem tells us that for any dimensionally invariant relation there exists a full set of independent dimensionless "Pi groups" which can be used to nondimension…