A model for two symmetrically coupled lasers is investigated, in which mixed-mode oscillations arise in the absence of coupling. For small enough coupling, we show that in the time series, certain dynamical transitions from different resonances in the chaotic regime may be explained by the overlap of suitable resonances. These are families of resonances, which result in isolas as well as isolas consisting of intermediate-phase resonances . It appears that the overlap of resonances can explain the onset of two different scaling regions in the dimension correlation sum, which display an explicit dependence on the optical coupling strength. For very small coupling ranges, there are larger scaling regions that look analogous to that for the uncoupled laser system. For larger coupling, but still well below the synchronization threshold, steeper and larger scaling regions arise, in particular, in the smaller partitions.
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August 2022
Research Article|
August 22 2022
Correlation sum scalings from mixed-mode oscillations in weakly coupled molecular lasers
Eusebius J. Doedel;
Eusebius J. Doedel
(Investigation, Methodology)
1
Department of Computer Science, Concordia University
, 1455 boulevard de Maisonneuve O., Montréal, Québec H3G 1M8, Canada
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Carlos L. Pando Lambruschini
Carlos L. Pando Lambruschini
a)
(Investigation, Methodology)
2
Instituto de Física, Benemérita Universidad Autónoma de Puebla
, Apdo. Postal J-48, Puebla Pue. 72570, México
a)Author to whom correspondence should be addressed: [email protected]
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a)Author to whom correspondence should be addressed: [email protected]
Note: This article is part of the Focus Issue, From Chemical Oscillations to Applications of Nonlinear Dynamics: Dedicated to Richard J. Field on the Occasion of his 80th Birthday.
Chaos 32, 083132 (2022)
Article history
Received:
May 11 2022
Accepted:
June 30 2022
Citation
Eusebius J. Doedel, Carlos L. Pando Lambruschini; Correlation sum scalings from mixed-mode oscillations in weakly coupled molecular lasers. Chaos 1 August 2022; 32 (8): 083132. https://doi.org/10.1063/5.0098708
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