Using of Phenomenological Piecewise Continuous Map for Modeling of Neurons Behaviour
K. V. Andreev, L. V. Krasichkov
Abstract
A piecewise continuous map for modeling bursting and spiking behaviour of isolated neuron is proposed. The map was created from phenomenological viewpoint. The map demonstrates oscillations, which are qualitatively similar to oscillations generating by Rose-Hindmarsh model. The synchronization in small ensembles of the maps is investigated. It is considered the different number of elements in the ensemble and different connectivity topologies.
Create a lesson
Related papers
Experimental detection of energy transfer into the antiphase mode in a branched double pendulum
Yusuke Toda, Takeshi Ooshida
Trigonometric Nosé--Hoover oscillator: chaos, periodic orbits and integrability
Wojciech Szumiński, Jaume Llibre
Ladder of information limits on prediction for reduced-order models
Adrian Lozano-Duran
A New Route to Chaos through the Geometric Composition of Non-Normal Amplification
D. Sornette, V. R. Saiprasad, V. Troude
Dynamics, periodic orbits and C1 non-integrability of the ABC flow
Wojciech Szumiński, Jaume Llibre
Requirement-Induced Predictive Geometry for Finite-Resource Prediction in Dynamical Systems
Song-Ju Kim