Approximate solutions of Maxwell Bloch equations and possible Lotka-Volterra type behavior

DOI10.1007/s11071-010-9695-5zbMath1223.34071OpenAlexW1981066507MaRDI QIDQ619522

I. Kusbeyzi, Orhan Ozgur Aybar, Avadis Simon Hacinliyan

Publication date: 25 January 2011

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-010-9695-5

zbMATH Keywords

chaososcillatory solutionsbifurcationsLotka-Volterra equationsMaxwell-Bloch equationsLorenz model

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Lasers, masers, optical bistability, nonlinear optics (78A60) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Related Items (10)

Stability and bifurcation in two species predator-prey models ⋮ Homoclinic orbits and Jacobi stability on the orbits of Maxwell–Bloch system ⋮ The diffusive Lotka-Volterra predator-prey system with delay ⋮ Integrability aspects and soliton solutions for the inhomogeneous reduced Maxwell-Bloch system in nonlinear optics with symbolic computation ⋮ Soliton solutions for the reduced Maxwell-Bloch system in nonlinear optics via the \(N\)-fold Darboux transformation ⋮ Bifurcations in van der Pol-like systems ⋮ Rational Integrability of the Maxwell–Bloch System ⋮ First integrals of the Maxwell-Bloch system ⋮ Global stability and repulsion in autonomous Kolmogorov systems ⋮ Identifying weak foci and centers in the Maxwell-Bloch system

Cites Work

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• Bifurcation and stability analysis in predator-prey model with a stage-structure for predator
• NONLINEAR TIME SEQUENCE ANALYSIS
• Ergodic theory of chaos and strange attractors
• Nearly vertical Hopf bifurcation for a passively \(Q\)-switched microchip laser
• Elements of applied bifurcation theory

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