Transformation of neural oscillators

Abstract

In this paper we outline a method of model transformation for neural oscillators defined by a set of ordinary differential equations and a non-linearity. The transformation sets the parameters such that the transformed oscillators have the same phase and frequency in the state of harmonic balance. In simulations we show that these transformed neural oscillators not only behave equivalently in the state of harmonic balance of one single oscillator, but also mainly equivalent in stationary, oscillatory or chaotic activation states of networks of such elements.