A rare and hidden attractor with noise in a biophysical Hodgkin-Huxley-type of model

TL;DR

This paper investigates the effects of noise on a Hodgkin-Huxley-type neural model exhibiting bistability between hidden and rare attractors through numerical simulations.

Contribution

It introduces the study of noise influence on bistable attractors in a Hodgkin-Huxley model, highlighting the existence of rare and hidden attractors.

Findings

Noise induces transitions between attractors.

Hidden and rare attractors are identified in the model.

Numerical simulations reveal complex dynamical behavior.

Abstract

In the present paper the result of numerical simulations of the model based on the Hodgkin-Huxley formalism with bistability between hidden and rare attractors in the presence of noise are studied.