22 citations · 49 across the 6 of their papers we have counts for
6 papers
Uncountably many cases of Filippov's sewed focus
Paul Glendinning, S. John Hogan, Martin Homer +2
The sewed focus is one of the singularities of planar piecewise smooth dynamical systems. Defined by Filippov in his book 'Differential Equations with Discontinuous Righthand Sides…
Sharp thresholds limit the benefit of defector avoidance in cooperation on networks
Ashkaan K. Fahimipour, Fanqi Zeng, Martin Homer +3
Consider a cooperation game on a spatial network of habitat patches, where players can relocate between patches if they judge the local conditions to be unfavorable. In time, the r…
Improved Control Strategies for Intermittent Contact Mode Atomic Force Microscopes
Marco Coraggio, Martin Homer, Oliver D. Payton +1
Atomic force microscopes have proved to be fundamental research tools in many situations where a gentle imaging process is required, and in a variety of environmental conditions, s…
Design of Self-Organising Networks
H. Silk, M. Homer, T. Gross
A key problem in the study and design of complex systems is the apparent disconnection between the microscopic and the macroscopic. It is not straightforward to identify the local…
Nonlinear dynamics of the mammalian inner ear
Robert Szalai, Alan R. Champneys, Martin Homer
A simple nonlinear transmission-line model of the cochlea with longitudinal coupling is introduced that can reproduce Basilar membrane response and neural tuning in the chinchilla.…
Exploring the adaptive voter model dynamics with a mathematical triple jump
Holly Silk, Güven Demirel, Martin Homer +1
Progress in theoretical physics is often made by the investigation of toy models, the model organisms of physics, which provide benchmarks for new methodologies. For complex system…