An amplitude equation for the conserved-Hopf bifurcation-Derivation, analysis, and assessment.
Sign Up to like & getrecommendations! Published in 2024 at "Chaos"
DOI: 10.1063/5.0222013
Abstract: We employ weakly nonlinear theory to derive an amplitude equation for the conserved-Hopf instability, i.e., a generic large-scale oscillatory instability for systems with two conservation laws. The resulting equation represents in the conserved case the… read more here.
Keywords: equation; conserved hopf; hopf bifurcation; amplitude equation ... See more keywords
Ginzburg-Landau amplitude equation for nonlinear nonlocal models.
Sign Up to like & getrecommendations! Published in 2021 at "Physical review. E"
DOI: 10.1103/physreve.103.022210
Abstract: Regular spatial structures emerge in a wide range of different dynamics characterized by local and/or nonlocal coupling terms. In several research fields this has spurred the study of many models, which can explain pattern formation.… read more here.
Keywords: equation nonlinear; nonlinear nonlocal; landau amplitude; ginzburg landau ... See more keywords
Planetary and gravity waves in a polar basin
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Physical Oceanography"
DOI: 10.1175/jpo-d-16-0253.1
Abstract: AbstractThe eigenfrequencies of freely propagating barotropic, divergent, planetary waves and gravity waves in a spherical polar cap are presented using an approximation in which full spherical geometry is retained in the derivation of the wave… read more here.
Keywords: wave amplitude; gravity waves; wave frequencies; amplitude equation ... See more keywords