2 papers
math.DS2023
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…
physics.bio-ph2015
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.…