On a Hamilton-Poisson approach of the Maxwell-Bloch equations with a control

DOI10.1007/s11040-017-9251-3zbMath1413.37043OpenAlexW2742955833MaRDI QIDQ1664366

Cristian Lăzureanu

Publication date: 27 August 2018

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11040-017-9251-3

zbMATH Keywords

stabilityperiodic orbitsHamiltonian dynamicsMaxwell-Bloch equationsenergy-Casimir mapping

Mathematics Subject Classification ID

Dynamical systems in control (37N35) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25)

Related Items (7)

Stability and energy-Casimir mapping for integrable deformations of the Kermack-McKendrick system ⋮ Integrable Deformations of Three-Dimensional Chaotic Systems ⋮ Homoclinic orbits and Jacobi stability on the orbits of Maxwell–Bloch system ⋮ New symmetric periodic solutions for the Maxwell-Bloch differential system ⋮ On the integrable stretch-twist-fold flow: Bi-Hamiltonian structures and global dynamics ⋮ The connection between the dynamical properties of 3D systems and the image of the energy-Casimir mapping ⋮ On a deformed version of the two-disk dynamo system.

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• A RIKITAKE TYPE SYSTEM WITH QUADRATIC CONTROL

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