Three-dimensional real-valued Maxwell-Bloch equations with controls

DOI10.1016/0034-4877(96)84072-9zbMath0963.93069OpenAlexW2016495931WikidataQ127586805 ScholiaQ127586805MaRDI QIDQ1373531

Mircea Puta

Publication date: 28 June 2001

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(96)84072-9

zbMATH Keywords

stabilizationHamiltonianDuffing oscillatorhomoclinic orbitMaxwell-Bloch equationsHamilton-Poisson mechanical systemspendulum dynamics

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Nonlinear systems in control theory (93C10) Hamilton's equations (70H05)

Related Items (4)

Integrability and geometric prequantization of the Maxwell-Bloch equations ⋮ On some dynamical and geometrical properties of the Maxwell-Bloch equations with a quadratic control ⋮ Symmetries of the Maxwell-Bloch equations with the rotating wave approximation ⋮ Maxwell-Bloch equations with one control and stability problem

Cites Work

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• Global bifurcations and chaos. Analytical methods
• Homoclinic chaos in a laser-matter system
• Multiple Lie-Poisson structures, reductions, and geometric phases for the Maxwell-Bloch travelling wave equations
• Nonlinear stability of fluid and plasma equilibria

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