Bifurcation in Doubly-Diffusive Systems. II. Time Periodic Solutions

DOI10.1137/0517012zbMath0623.76096OpenAlexW2015061871MaRDI QIDQ3761978

Wayne Nagata, James W. Thomas

Publication date: 1986

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0517012

zbMATH Keywords

center manifold theoremHopf bifurcationstime periodic solutionsPoincaré normal formdouble-diffusive convection equationshexagonal convectionstability of bifurcating nontrivial steady solutions

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Navier-Stokes equations for incompressible viscous fluids (76D05) Absolute and convective instability and stability in hydrodynamic stability (76E15) Interfacial stability and instability in hydrodynamic stability (76E17) Free convection (76R10) Hydrodynamic stability (76E99) Stability theory for smooth dynamical systems (37C75) Local and nonlocal bifurcation theory for dynamical systems (37G99)

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