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Regular and Chaotic Dynamics, 2017, Volume 22, Issue 2, Pages 109–121
DOI: https://doi.org/10.1134/S1560354717020010 (Mi rcd245) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Stability and Integrability Aspects for the Maxwell–Bloch Equations with the Rotating Wave Approximation

Ioan Caşuab, Cristian Lăzureanuab

a Department of Mathematics, West University of Timişoara, Bd. V. Pârvan, Nr. 4, 300223 Timişoara, România
b Department of Mathematics, Politehnica University of Timişoara, Piaţa Victoriei, Nr. 2, 300006 Timişoara, România
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DOI: https://doi.org/10.1134/S1560354717020010
Abstract: Infinitely many Hamilton–Poisson realizations of the five-dimensional real valued Maxwell–Bloch equations with the rotating wave approximation are constructed and the energy-Casimir mapping is considered. Also, the image of this mapping is presented and connections with the equilibrium states of the considered system are studied. Using some fibers of the image of the energy-Casimir mapping, some special orbits are obtained. Finally, a Lax formulation of the system is given.
Keywords: Maxwell–Bloch equations, Hamiltonian dynamics, energy-Casimir mapping, homoclinic orbits, periodic orbits, elliptic functions.
Received: 31.10.2016
Accepted: 12.12.2016
Bibliographic databases:
Document Type: Article
MSC: 37J25, 37J45, 33E05
Language: English
Citation: Ioan Caşu, Cristian Lăzureanu, “Stability and Integrability Aspects for the Maxwell–Bloch Equations with the Rotating Wave Approximation”, Regul. Chaotic Dyn., 22:2 (2017), 109–121
Citation in format AMSBIB
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\by Ioan Ca{\c s}u, Cristian L{\u a}zureanu
\paper Stability and Integrability Aspects for the Maxwell–Bloch Equations with the Rotating Wave Approximation
\jour Regul. Chaotic Dyn.
\yr 2017
\vol 22
\issue 2
\pages 109--121
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\crossref{https://doi.org/10.1134/S1560354717020010}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85016990295}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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