New symmetric periodic solutions for the Maxwell-Bloch differential system
DOI10.1007/s11040-019-9313-9zbMath1460.34052OpenAlexW2948791467WikidataQ115381796 ScholiaQ115381796MaRDI QIDQ2424171
Jaume Llibre, Claudia Valls, Murilo R. Cândido
Publication date: 24 June 2019
Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)
Full work available at URL: http://ddd.uab.cat/record/221381
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Averaging method for ordinary differential equations (34C29) Lasers, masers, optical bistability, nonlinear optics (78A60) Qualitative investigation and simulation of ordinary differential equation models (34C60)
Related Items
Cites Work
- Improving the averaging theory for computing periodic solutions of the differential equations
- On a Hamilton-Poisson approach of the Maxwell-Bloch equations with a control
- Modulation instability and breathers synchronization of the nonlinear Schrödinger Maxwell-Bloch equation
- Dynamics of Peregrine combs and Peregrine walls in an inhomogeneous Hirota and Maxwell-Bloch system
- Periodic and rational solutions of the reduced Maxwell-Bloch equations
- Identifying weak foci and centers in the Maxwell-Bloch system
- Stability and integrability aspects for the Maxwell-Bloch equations with the rotating wave approximation
- Stability of Periodic Orbits in the Averaging Theory: Applications to Lorenz and Thomas Differential Systems
- Persistence of periodic solutions for higher order perturbed differential systems via Lyapunov–Schmidt reduction
- The Real-Valued Maxwell–Bloch Equations with Controls: From a Hamilton–Poisson System to a Chaotic One
