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Experimental Characterization of Shil’nikov Chaos by Statistics of Return Times

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Coherence and Quantum Optics VI

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Abstract

The dynamic behavior of a single-mode CO2 laser with feedback is characterized by global features in the phase space, related to the presence of three coexisting unstable fixed points. As a control parameter is monotonically increased, one can observe transitions from a Hopf bifurcation to a local chaos and eventually to regular spiking and Shil’nikov chaos. Furthermore, one can find evidence of competition among these different kinds of instability.1 The phase-space trajectories are affected differently by each of the three unstable points, and by adjustment of the control parameters they can be characterized by the dominant role of only one, or a pair of them.

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References

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Author information

Authors and Affiliations

  1. Istituto Nazionale di Ottica, Largo E. Fermi, 6, 50125, Firenze, Italy

    F. T. Arecchi, A. Lapucci & R. Meucci

  2. Universidade Estadual de Campinas, Campinas, SP, Brazil

    J. A. Roversi

  3. CNRS, Universitè de Nice, Nice, France

    P. H. Coullet

Authors
  1. F. T. Arecchi
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  2. A. Lapucci
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  3. R. Meucci
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  4. J. A. Roversi
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  5. P. H. Coullet
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Editor information

Editors and Affiliations

  1. Department of Physics and Astronomy, University of Rochester, Rochester, New York, USA

    Joseph H. Eberly , Leonard Mandel  & Emil Wolf ,  & 

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© 1989 Plenum Press, New York

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Arecchi, F.T., Lapucci, A., Meucci, R., Roversi, J.A., Coullet, P.H. (1989). Experimental Characterization of Shil’nikov Chaos by Statistics of Return Times. In: Eberly, J.H., Mandel, L., Wolf, E. (eds) Coherence and Quantum Optics VI. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0847-8_11

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  • DOI: https://doi.org/10.1007/978-1-4613-0847-8_11

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4612-8112-2

  • Online ISBN: 978-1-4613-0847-8

  • eBook Packages: Springer Book Archive

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