Implementing Poincaré Sections for a Chaotic Relaxation Oscillator

We propose an electronic implementation to record Poincaré sections of dynamical systems exhibiting chaos. Poincaré 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 th...

Full description

Saved in:
Bibliographic Details
Published in:IEEE transactions on circuits and systems. II, Express briefs Express briefs, 2020-02, Vol.67 (2), p.395-399
Main Authors: Euzzor, S., Di Garbo, A., Ginoux, J.-M., Arecchi, F. T., Meucci, R.
Format: Article
Language:English
Subjects:
Chaos
Chaos theory
Chaotic Dynamics
Differential equations
Dynamical Systems
Electric breakdown
Electron tubes
electronic circuits
Mathematics
nonlinear dynamical systems
Nonlinear Sciences
nonlinear systems
Oscillators
Relaxation oscillators
Toruses
Trajectory
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We propose an electronic implementation to record Poincaré sections of dynamical systems exhibiting chaos. Poincaré 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.
ISSN:1549-7747
1558-3791
DOI:10.1109/TCSII.2019.2924475