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math.DS2020
A continuation approach to computing phase resetting curves
Peter Langfield, Bernd Krauskopf, Hinke M. Osinga
Phase resetting is a common experimental approach to investigating the behaviour of oscillating neurons. Assuming repeated spiking or bursting, a phase reset amounts to a brief per…
math.DS2019
Global manifold structure of a continuous-time heterodimensional cycle
Andy Hammerlindl, Bernd Krauskopf, Gemma Mason +1
A heterodimensional cycle consists of a pair of heteroclinic connections between two saddle periodic orbits with unstable manifolds of different dimensions. Recent theoretical work…