Generalized multistability and its control in a laser

Cite as: Chaos 32, 083111 (2022); doi: 10.1063/5.0093727
Submitted: 30 March 2022 · Accepted: 9 May 2022
Published Online: 8 August 2022

Riccardo Meucci,1,a) Jean Marc Ginoux,2 Mahtab Mehrabbeik,3 Sajad Jafari,3,4
and Julien Clinton Sprott5
1Istituto Nazionale di Ottica—CNR, Largo E. Fermi 6, 50125 Firenze, Italy
2Laboratoire CPT, Université de Toulon, CS 60584, 83041 Toulon Cedex 9, France
3Department of Biomedical Engineering, Amirkabir University of Technology (Tehran Polytechnic), Tehran 159163-4311, Iran
4Health Technology Research Institute, Amirkabir University of Technology (Tehran Polytechnic), Tehran 159163-4311, Iran
5Department of Physics, University ofWisconsin, 1150 University Avenue Madison, Madison,Wisconsin 53706-1390, USA
a)Author to whom correspondence should be addressed:

We revisit the laser model with cavity loss modulation, from which evidence of chaos and generalized multistability was discovered in 1982. Multistability refers to the coexistence of two or more attractors in nonlinear dynamical systems. Despite its relative simplicity, the adopted model shows us how the multistability depends on the dissipation of the system. The model is then tested under the action of a secondary sinusoidal perturbation, which can remove bistability when a suitable relative phase is chosen. The surviving attractor is the one with less dissipation. This control strategy is particularly useful when one of the competing attractors is a chaotic attractor.

Ref: R. Meucci, J. M. Ginoux, M. Mehrabbeik, S. Jafari, and J. C. Sprott, Chaos 32, 083111--1-11 (2022).

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