An oscillatory neural network unit model
Maksim Bazhenov, Mikhail I. Rabinovich, Leonid L. Rubchinsky · AIP conference proceedings · 1996
A mathematical model of a neuron describing its oscillatory activity is constructed and investigated. The model in the form of a system of three ordinary differential equations demonstrates both regular behavior of the time dependence of electric membrane potential and its chaotic dynamics. The absence of rigorous heteroclinic trajectories in the phase space of the system is proved and the transition to chaos is investigated. The processes of synchronization of the oscillators are discussed.