33 citations · 41 across the 7 of their papers we have counts for
8 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 note on the "conditional triviality" property for regular conditional distributions
Julian Newman
We make the simple, and yet deep, observation that a regular conditional distribution (rcd) almost surely trivialises the conditioning -algebra if and only if there exists a "me…
Synchronisation of almost all trajectories of a random dynamical system
Julian Newman
It has been shown by Le Jan that, given a memoryless-noise random dynamical system together with an ergodic distribution for the associated Markov transition probabilities, if the…
Synchronisation in Invertible Random Dynamical Systems on the Circle
Julian Newman
In this paper, we study geometric features of orientation-preserving random dynamical systems on the circle driven by memoryless noise that exhibit stable synchronisation: we consi…
Necessary and Sufficient Conditions for Stable Synchronisation in Random Dynamical Systems
Julian Newman
For a product of i.i.d. random maps or a memoryless stochastic flow on a compact space , we find conditions under which the presence of locally asymptotically stable trajectorie…
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…