3 papers
math.DS2026
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…
q-bio.NC2025
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…
math.DS2025
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…