Articolo in rivista, 2020, ENG, 10.1109/TCSII.2019.2924475

Implementing Poincar& x00E9; Sections for a Chaotic Relaxation Oscillator

Euzzor S.; Di Garbo A.; Ginoux J-M; Arecchi F. T. and Meucci R.

Meucci, R (Corresponding Author), CNR, Ist Nazl Ott, I-50125 Florence, Italy. Euzzor, S.; Arecchi, F. T.; Meucci, R., CNR, Ist Nazl Ott, I-50125 Florence, Italy. Di Garbo, A., CNR, Ist Biofis, I-56124 Pisa, Italy. Ginoux, J-M, UMR CNRS 7020, Lab Informat & Syst, F-83041 Toulon, France. Arecchi, F. T.; Meucci, R., Univ Firenze, Dept Phys & Astron, I-50019 Sesto Fiorentino, Italy.

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.

IEEE transactions on circuits and systems. II, Express briefs 67 (2), pp. 395–399

Keywords

Oscillators, nonlinear systems, nonlinear dynamical systems, electronic circuits, chaos

CNR authors

Di Garbo Angelo

CNR institutes

IBF – Istituto di biofisica