What is it about?

A model for two symmetrically coupled lasers is investigated, in which mixed-mode chaotic oscillations arise in the absence of cou- pling. For small enough coupling, it appears that the overlap of resonances can explain the onset of two different scaling regions in the dimension corre- lation sum, which display an explicit dependence on the optical coupling strength. For very small coupling ranges, there are larger scaling regions, which look analogous to that for the uncoupled laser system. For larger coupling, but still well below the syn- chronization threshold, steeper and larger scaling regions arise, in particular, in the smaller partitions.

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Why is it important?

It may be a useful tool to detect the effect of different resonance zones in the dynamics as a parameter is changed.


It would be of interest to explore these effects on the correlation scalings in higher dimensional systems as well as in other low dimensional systems.

carlos L. Pando Lambruschini
Benemerita Universidad Autonoma de Puebla

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This page is a summary of: Correlation sum scalings from mixed-mode oscillations in weakly coupled molecular lasers, Chaos An Interdisciplinary Journal of Nonlinear Science, August 2022, American Institute of Physics, DOI: 10.1063/5.0098708.
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