The stability problem and special solutions for the 5-components Maxwell-Bloch equations
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🧮 math.DS
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problemcomponentsmaxwell-blochsolutionsstabilitysystemcompletelyconstruction
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For the 5-components Maxwell-Bloch system the stability problem for the isolated equilibria is completely solved. Using the geometry of the symplectic leaves, a detailed construction of the homoclinic orbits is given. Studying the problem of invariant sets for the system we discover a rich family of periodic solutions in explicit form.
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