Implementing Poincaré Sections for a Chaotic Relaxation Oscillator

Anno: 2020

Autori: Euzzor S., Di Garbo A., Ginoux JM., Arecchi FT., Meucci R.

Affiliazione autori: 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.

Giornale/Rivista: IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS

Volume: 67 (2)      Da Pagina: 395  A: 399

Parole chiavi: Oscillators; nonlinear systems; nonlinear dynamical systems; electronic circuits; chaos
DOI: 10.1109/TCSII.2019.2924475

Citazioni: 4
dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2025-05-18
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