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Article Dans Une Revue International journal of bifurcation and chaos in applied sciences and engineering Année : 2021

Minimal Universal Model for Chaos in Laser with Feedback

Résumé

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 [Formula: see text] 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 [Formula: see text], where [Formula: see text] and [Formula: see text] are the fast and slow variables. The third one is of the type [Formula: see text], where [Formula: see text] 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.

Dates et versions

hal-03540670 , version 1 (24-01-2022)

Identifiants

Citer

Riccardo Meucci, Stefano Euzzor, F. Tito Arecchi, Jean-Marc Ginoux. Minimal Universal Model for Chaos in Laser with Feedback. International journal of bifurcation and chaos in applied sciences and engineering , 2021, 31 (04), pp.2130013. ⟨10.1142/S0218127421300135⟩. ⟨hal-03540670⟩
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