Delayed dynamics in an electronic relaxation oscillator
Authors: Di Garbo A., Euzzor S., Ginoux J.-M., Arecchi FT., Meucci R.
Autors Affiliation: CNR, Inst Biophys, Pisa, Italy; CNR, Natl Inst Opt, Florence, Italy; CNRS, Lab Informat & Syst, UMR 7020, Marseille, France; Univ Firenze, Dept Phys & Astron, Florence, Italy
Abstract: We present an experimental investigation of the complex dynamics of a modulated relaxation oscillator implemented by using a unipolar junction transistor (UJT) showing the transition to chaos through torus breakdown. In a previous paper a continuous model was introduced for the same system, explaining chaos based on analogy with a memristor. We propose here a new approach based on a piecewise linear model with delay considering a measured parasitic delay effect. The inclusion of this delay, accounting for memory effects, increases the dimensionality of the model, allowing the transition to chaos as observed in the experiment. The piecewise delayed model shows analogies with a two-dimensional leaky integrate-and-fire model used in neurodynamics.
Journal/Review: PHYSICAL REVIEW E
Volume: 100 (3) Pages from: 032224-1 to: 032224-9
KeyWords: CHAOSDOI: 10.1103/PhysRevE.100.032224Citations: 3data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2021-10-24References taken from IsiWeb of Knowledge: (subscribers only)Connecting to view paper tab on IsiWeb: Click hereConnecting to view citations from IsiWeb: Click here