2 papers
math.DS2011★ 1 cited
Localised states in an extended Swift-Hohenberg equation
John Burke, Jonathan H. P. Dawes
Recent work on the behaviour of localised states in pattern forming partial differential equations has focused on the traditional model Swift-Hohenberg equation which, as a result…
q-bio.NC2011
A showcase of torus canards in neuronal bursters
John Burke, Mathieu Desroches, Anna M. Barry +2
Rapid action potential generation --- spiking --- and alternating intervals of spiking and quiescence --- bursting --- are two dynamic patterns observed in neuronal activity. In co…