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; chaos
DOI: 10.1109/TCSII.2019.2924475

Citations: 3
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