The stability of self-excited bifurcation oscillations in a nonlinear parabolic problem with transformed argument
From MaRDI portal
Publication:1124666
zbMath0824.35059MaRDI QIDQ1124666
Publication date: 17 May 1995
Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)
Andronov-Hopf bifurcationautonomous diffusion equation with transformation of the space coordinatenonlinear light resonatorself-excited wave processes
Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Lasers, masers, optical bistability, nonlinear optics (78A60) Bifurcations in context of PDEs (35B32)
Related Items
Reducing dimensionality to model 2D rotating and standing waves in a delayed nonlinear optical system with thin annulus aperture, Bifurcations of self-oscillatory solutions to a nonlinear parabolic equation with a rotating spatial argument and time delay, Bifurcation modes in a nonlinear optical system with distributed field rotation, Rotating waves in parabolic functional differential equations with rotation of spatial argument and time delay, Dynamics of stationary structures in a parabolic problem with reflected spatial argument, Rotating and standing waves in a diffractive nonlinear optical system with delayed feedback under \(O(2)\) Hopf bifurcation, Optical buffering in stationary structures, Invariant manifolds and global attractor of the Ginzburg-Landau integro-differential equation