Implementing Poincaré Sections for a Chaotic Relaxation Oscillator
Year: 2020
Authors: Euzzor S., Di Garbo A., Ginoux JM., Arecchi FT., Meucci R.
Autors Affiliation: CNR, Ist Nazl Ott, I-50125 Florence, Italy; CNR, Ist Biofis, I-56124 Pisa, Italy; UMR CNRS 7020, Lab Informat & Syst, F-83041 Toulon, France; Univ Firenze, Dept Phys & Astron, I-50019 Sesto Fiorentino, Italy.
Abstract: We propose an electronic implementation to record Poincar& x00E9; sections of dynamical systems exhibiting chaos. Poincar& x00E9; sections are obtained by sampling and holding the maxima of a sequence of pulses of a chaotic relaxation oscillator versus the same temporal sequence shifted by one unit. By using these sections we are able to detail the transition to chaos via torus breakdown.
Journal/Review: IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS
Volume: 67 (2) Pages from: 395 to: 399
KeyWords: Oscillators; nonlinear systems; nonlinear dynamical systems; electronic circuits; chaosDOI: 10.1109/TCSII.2019.2924475ImpactFactor: 3.292Citations: 3data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2024-10-06References taken from IsiWeb of Knowledge: (subscribers only)Connecting to view paper tab on IsiWeb: Click hereConnecting to view citations from IsiWeb: Click here