Symmetry-breaking bifurcations in a single-mode class-A gas laser (Q2711771)

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Symmetry-breaking bifurcations in a single-mode class-A gas laser
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    25 April 2001
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    gas laser
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    pitchfork bifurcation
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    symmetry-breaking
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    limit cycle
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    invariant torus
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    Symmetry-breaking bifurcations in a single-mode class-A gas laser (English)
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    The author studies the invariance properties and bifurcations in a mathematical model of single-mode class-A gas laser. This model is governed by a quite complicated 3-dimensional system of ODEs. Under certain assumptions of physical character the author describes such interesting phenomena ~occurring in the system as: pitchfork bifurcation of stationary points, symmetry-breaking bifurcations of periodic solution, creation and destruction of 2-d tori. Much attention is paid to the physical interpretation of the results obtained. At the same time almost nothing is said about the mathematical technique used by the author in her investigations.NEWLINENEWLINEFor the entire collection see [Zbl 0937.00046].
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