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.

Implementing Poincar& x00E9; Sections for a Chaotic Relaxation Oscillator

Di Garbo A;
2020

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.
2020
Istituto di Biofisica - IBF
Oscillators
nonlinear systems
nonlinear dynamical systems
electronic circuits
chaos
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/380857
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