Dynamic transitions of the Swift-Hohenberg equation with third-order dispersion

DOI10.3934/DCDSB.2021003zbMath1484.37083arXiv2007.15722OpenAlexW3114970383MaRDI QIDQ2056180

Yanyan Li

Publication date: 1 December 2021

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.15722

zbMATH Keywords

bifurcationcenter manifoldSwift-Hohenberg equationdynamic transitionscontinuous and catastrophic transition

Mathematics Subject Classification ID

Stability problems for infinite-dimensional dissipative dynamical systems (37L15) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05) Pattern formations in context of PDEs (35B36)

Related Items (4)

Modulating traveling fronts in a dispersive Swift-Hohenberg equation coupled to an additional conservation law ⋮ Transitions of zonal flows in a two-layer quasi-geostrophic ocean model ⋮ Dynamic transitions and bifurcations of 1D reaction–diffusion equations: The self‐adjoint case ⋮ Dynamic transitions and bifurcations of 1D reaction-diffusion equations: the non-self-adjoint case

Cites Work

• Unnamed Item
• Dynamical bifurcation of the two dimensional Swift-Hohenberg equation with odd periodic condition
• Dynamic transitions and baroclinic instability for 3D continuously stratified Boussinesq flows
• On the Hopf (double Hopf) bifurcations and transitions of two-layer western boundary currents
• Dynamic pattern formation in Swift-Hohenberg equations
• Bifurcation and stability of superconductivity

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