Open AccessExperimental Evidence of Chaos Generated by a Minimal Universal Oscillator Model
Author(s) -
Leonardo Ricci,
Alessio Perinelli,
Michele Castelluzzo,
Stefano Euzzor,
R. Meucci
Publication year - 2021
Publication title -
international journal of bifurcation and chaos in applied sciences and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.761
H-Index - 103
eISSN - 1793-6551
pISSN - 0218-1274
DOI - 10.1142/s0218127421502059
Subject(s) - lyapunov exponent , chaotic , statistical physics , synchronization (alternating current) , computer science , nonlinear system , divergence (linguistics) , synchronization of chaos , parameter space , series (stratigraphy) , coupling (piping) , control theory (sociology) , mathematics , topology (electrical circuits) , physics , artificial intelligence , quantum mechanics , statistics , linguistics , philosophy , control (management) , combinatorics , engineering , biology , mechanical engineering , paleontology
Detection of chaos in experimental data is a crucial issue in nonlinear science. Historically, one of the first evidences of a chaotic behavior in experimental recordings came from laser physics. In a recent work, a Minimal Universal Model of chaos was developed by revisiting the model of laser with feedback, and a first electronic implementation was discussed. Here, we propose an upgraded electronic implementation of the Minimal Universal Model, which allows for a precise and reproducible analysis of the model’s parameters space. As a marker of a possible chaotic behavior the variability of the spiking activity that characterizes one of the system’s coordinates was used. Relying on a numerical characterization of the relationship between spiking activity and maximum Lyapunov exponent at different parameter combinations, several potentially chaotic settings were selected. The analysis via divergence exponent method of experimental time series acquired by using those settings confirmed a robust chaotic behavior and provided values of the maximum Lyapunov exponent that are in very good agreement with the theoretical predictions. The results of this work further uphold the reliability of the Minimal Universal Model. In addition, the upgraded electronic implementation provides an easily controllable setup that allows for further developments aiming at coupling multiple chaotic systems and investigating synchronization processes.