Highly dissipative Henon map behavior in the 4-level model of the CO2-laser with modulated losses

Year: 1995

Authors: Pando C.L., Acosta G.A.L., Meucci R., Ciofini M.

Autors Affiliation: Universidad Autónoma de Puebla, Instituto de Fisica, Apdo. Postal J-48, Puebla, Pue. 72570, Mexico; Istituto Nazionale di Ottica, Largo E. Fermi 6, 50125 Florence, Italy

Abstract: We show that the four-level model for the CO2 laser with modulated losses behaves in a qualitatively similar way as the highly dissipative Henon map. The ubiquity of elements of the universal sequence, their related symbolic dynamics, and the presence of reverse bifurcations of chaotic bands in the model are reminiscent of the logistic map which is the limit of the Henon map when the Jacobian equals zero, The coexistence of attractors, its dynamics related to contraction of volumes in phase space and the associated return maps can be correlated with those of the highly dissipative Henon map.

Journal/Review: PHYSICS LETTERS A

Volume: 199 (3-4)      Pages from: 191  to: 198

More Information: We are grateful to the Instituto de Fisica of the UAP. This work was also supportedb y CONACYT, MCxico through a Gitedra patrimonial to C.L.P.L. We thank Professor ET. Arecchi and Professor N.B. Abraham for useful discussions.
KeyWords: Q-switched CO”-laser; Saturable absorbers; Chaotic attractors; Dynamic behavior; Rates
DOI: 10.1016/0375-9601(94)01016-N

Citations: 23
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