A Renormalization Method for Modulational Stability of Quasi-Steady Patterns in Dispersive Systems
From MaRDI portal
Publication:4785720
DOI10.1137/S0036141000377547zbMath1019.34057MaRDI QIDQ4785720
Publication date: 5 January 2003
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Estimates of eigenvalues in context of PDEs (35P15) Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Lasers, masers, optical bistability, nonlinear optics (78A60) Asymptotic properties of solutions to ordinary differential equations (34D05)
Related Items
An explicit theory for pulses in two component, singularly perturbed, reaction-diffusion equations, Bifurcations to travelling planar spots in a three-component FitzHugh-Nagumo system, Asymptotic stability of lattice solitons in the energy space, Multi-hump pulses in systems with reflection and phase invariance, Consensus and clustering in opinion formation on networks, Localized patterns in a three-component Fitzhugh-Nagumo model revisited via an action functional, Pulse dynamics in low-Reynolds-number interfacial hydrodynamics: experiments and theory, Language competition on lattices, A sharp interface reduction for multiphase transport in a porous fuel cell electrode, Breathers as metastable states for the discrete NLS equation, Curvature driven flow of bi-layer interfaces, The dynamics of disappearing pulses in a singularly perturbed reaction-diffusion system with parameters that vary in time and space, Decay of Hamiltonian breathers under dissipation, Planar radial spots in a three-component FitzHugh-Nagumo system, Gradient invariance of slow energy descent: spectral renormalization and energy landscape techniques, Coherent structures near the boundary between excitable and oscillatory media, Pinned solutions in a heterogeneous three-component FitzHugh-Nagumo model, The semistrong limit of multipulse interaction in a thermally driven optical system, Renormalization group reduction of pulse dynamics in thermally loaded optical parametric oscillators, The slow motion of shock layers for advection-diffusion-reaction equations, Butterfly catastrophe for fronts in a three-component reaction-diffusion system, Working with multiscale asymptotics, Unfolding symmetric Bogdanov-Takens bifurcations for front dynamics in a reaction-diffusion system, Pulse dynamics in a three-component system: Stability and bifurcations, A Geometric Approach to Stationary Defect Solutions in One Space Dimension, Numerical Renormalization Group Algorithms for Self-Similar Asymptotics of Partial Differential Equations, An Explanation of Metastability in the Viscous Burgers Equation with Periodic Boundary Conditions via a Spectral Analysis, Spectra of functionalized operators arising from hypersurfaces
