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Multiple topological structures of chaotic attractors ruling the emission of a driven laser
Javier Used1, Juan Carlos Martín
1Department of Physics, University Rey Juan Carlos, Madrid, Spain.
Abstract:
We analyze the chaotic emission of an erbium-doped fiber laser with sine-wave pump power modulation for different modulation frequencies and modulation indexes. For each working condition considered, the template which summarizes the corresponding chaotic attractor has been determined by means of topological analysis techniques. The variety of templates obtained is much wider than in previous works: apart from horseshoes, reverse horseshoes, or jellyroll structures with different global torsions, two more kinds of structures have been found. Particularly, one is especially notable as its folding mechanism does not fit the rolling scheme valid for all templates found in former experimental studies. Apart from strengthening the usefulness of templates as convenient objects for characterization of chaotic attractors, the interest of these results lies in the identification of folding mechanisms for chaos generation not found in nature up to now.
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