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Kvantovaya Elektronika, 2009, Volume 39, Number 8, Pages 751–756 (Mi qe13960)  

This article is cited in 3 scientific papers (total in 3 papers)

Nonlinear optical phenomena

Cascade of torus doubling bifurcations in a detuned laser

A. A. Krentsa, N. E. Molevichb

a Samara National Research University
b Samara Branch of P. N. Lebedev Physical Institute, Russian Academy of Sciences

Abstract: By using a simplified system of Maxwell–Bloch equations (with the adiabatically excluded polarisation of the medium), we studied the processes proceeding in the cross section of a light wave propagating in a wide-aperture laser emitting at the frequency detuned from the transition-line centre. It is shown that in the model under study the passage to the chaotic regime during a change in the wave propagation velocity across the aperture occurs via the doubling bifurcations of an ergodic two-dimensional torus. The spectrum of Lyapunov exponents is found and it is established that at bifurcation points a structurally unstable three-dimensional torus is produced, which gives rise to a stable doubled ergodic torus.

Full text: PDF file (177 kB)

English version:
Quantum Electronics, 2009, 39:8, 751–756

Bibliographic databases:

PACS: 42.65.Sf, 42.60.Da
Received: 07.08.2008
Revised: 15.10.2008

Citation: A. A. Krents, N. E. Molevich, “Cascade of torus doubling bifurcations in a detuned laser”, Kvantovaya Elektronika, 39:8 (2009), 751–756 [Quantum Electron., 39:8 (2009), 751–756]

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  • http://mi.mathnet.ru/eng/qe13960
  • http://mi.mathnet.ru/eng/qe/v39/i8/p751

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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. D. A. Anchikov, A. A. Krents, N. E. Molevich, A. V. Pakhomov, Bull. Lebedev Phys. Inst, 41:8 (2014), 226  crossref  adsnasa  isi  elib  scopus
    2. D. A. Anchikov, A. A. Krents, N. E. Molevich, A. V. Pakhomov, Kompyuternaya optika, 38:4 (2014), 681–685  mathnet
    3. Anchikov D.A., Shakirov A.P., Krents A.A., Molevich N.E., Pakhomov A.V., Phys. Wave Phenom., 24:2 (2016), 108–113  crossref  isi  elib  scopus
  • Квантовая электроника Quantum Electronics
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