Minimal Universal Model for Chaos in Laser with Feedback

Year: 2021

Authors: Meucci R., Euzzor S., Arecchi FT., Ginoux JM.

Autors Affiliation: CNR, Natl Inst Opt, Florence, Italy; Univ Florence, Florence, Italy; Univ Toulon & Var, Aix Marseille Univ, CNRS, CPT, Marseille, France.

Abstract: We revisit the model of the laser with feedback and the minimal nonlinearity leading to chaos. Although the model has its origin in laser physics, with peculiarities related to the CO2 laser, it belongs to the class of the three-dimensional paradigmatic nonlinear oscillator models giving chaos. The proposed model contains three key nonlinearities, two of which are of the type xy, where x and y are the fast and slow variables. The third one is of the type xz(2), where z is an intermediate feedback variable. We analytically demonstrate that it is essential for producing chaos via local or global homoclinic bifurcations. Its electronic implementation in the range of kilo Hertz region confirms its potential in describing phenomena evolving on different time scales.

Journal/Review: INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

Volume: 31 (4)      Pages from: 2130013-1  to: 2130013-10

KeyWords: Chaos; nonlinearity; laser; homoclinic bifurcation; chaotic circuit
DOI: 10.1142/S0218127421300135

Citations: 19
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