35 citations · 35 across the 4 of their papers we have counts for
5 papers
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…
Predicting Perceptual Boundaries in Auditory Streaming using Delay Differential Equations
Asim Alawfi, Farzaneh Darki, Jan Sieber
Auditory streaming enables the brain to organize sequences of sounds into perceptually distinct sources, such as following a conversation in a noisy environment. A typical experime…
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…
Small-scale instabilities in dynamical systems with sliding
Jan Sieber, Piotr Kowalczyk
We demonstrate with a minimal example that in Filippov systems (dynamical systems governed by discontinuous but piecewise smooth vector fields) stable periodic motion with sliding…