3 citations · 8 across the 9 of their papers we have counts for
5 papers · 1 filter
Seizure intervention via diffusion mechanisms
Erik D. Fagerholm, Rosalyn J. Moran, Robert Leech
We begin by demonstrating that the neuronal state equation from Dynamic Causal Modelling takes on the form of the discretized Fokker-Planck equation upon the inclusion of local act…
Estimating quantities conserved by virtue of scale invariance in timeseries
Erik D. Fagerholm, W. M. C. Foulkes, Yasir Gallero-Salas +4
In contrast to the symmetries of translation in space, rotation in space, and translation in time, the known laws of physics are not universally invariant under transformation of s…
Dynamic causal modelling of phase-amplitude interactions
Erik D. Fagerholm, Rosalyn J. Moran, Ines R. Violante +2
Models of coupled oscillators are used to describe a wide variety of phenomena in neuroimaging. These models typically rest on the premise that oscillator dynamics do not evolve be…
Network constraints in scale free dynamical systems
Erik D. Fagerholm, W. M. C. Foulkes, Yasir Gallero-Salas +4
Scale free dynamics are observed in a variety of physical and biological systems. These include neural activity in which evidence for scale freeness has been reported using a range…
The Noether charges of all analytic Lagrangians associated with a scale invariant action
Erik D. Fagerholm, Robert Leech
Here we consider scale invariant dynamical systems within a classical particle description of Lagrangian mechanics. We begin by showing the condition under which a spatial and temp…