35 citations · 35 across the 4 of their papers we have counts for
3 papers · 1 filter
Local interaction of two systems with saddle-node bifurcations: mutualistic and mixed cases
Peter Ashwin, Claire Postlethwaite, Jan Sieber
The saddle-node bifurcation is the simplest example of a generic bifurcation in smooth ordinary differential equations, and is associated with the creation or destruction of a pair…
Alpha-Delta Transitions in Cortical Rhythms as grazing bifurcations
Huda Mahdi, Jan Sieber, Krasimira Tsaneva-Atanasova
The Jansen-Rit model of a cortical column in the cerebral cortex is widely used to simulate spontaneous brain activity (EEG) and event-related potentials. It couples a pyramidal ce…
Time series analysis and modelling of the freezing of gait phenomenon
Ai Wang, Jan Sieber, William R. Young +1
Freezing of Gait (FOG) is one of the most debilitating symptoms of Parkinson's Disease and is associated with falls and loss of independence. The patho-physiological mechanisms und…