Hindmarsh-Rose Neuron Model

The roles played by the system parameters are the following: mimics the membrane input current for biological neurons; allows one to switch between bursting and spiking behaviors and to control the spiking frequency; controls the speed of variation of the slow variable; governs adaptation: a unitary value of determines spiking behavior without accommodation and subthreshold adaptation, whereas values around 4 give strong accommodation and subthreshold overshoot.

Two-dimensional bifurcation diagrams can be found in the following paper:

M. Storace, D. Linaro, and E. de Lange, "The Hindmarsh-Rose Neuron Model: Bifurcation Analysis and Piecewise-Linear Approximations," Chaos, 18, 2008 pp. 1–10 033128.

More information on the model and on its bifurcations can be found on our research page.