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An annulus model for time-space transitions in Bénard convection

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Publication:1263419
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DOI10.1016/0167-2789(89)90083-3zbMath0687.76044OpenAlexW2013524032MaRDI QIDQ1263419

Ph. Metzener, Stephen H. Davis

Publication date: 1989

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(89)90083-3


zbMATH Keywords

Poincaré mapsbifurcationsBénard convectionLorentz equationsaxially-periodic structurespurely temporal instabilitysix ordinary differential equationsspatial transitionstemporal transitions


Mathematics Subject Classification ID

Absolute and convective instability and stability in hydrodynamic stability (76E15) Basic methods in fluid mechanics (76M99)


Related Items (2)

Strongly interacting traveling waves and quasiperiodic dynamics in porous medium convection ⋮ Computational efficiency and approximate inertial manifolds for a Bénard convection system



Cites Work

  • Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
  • The Lorenz equations: bifurcations, chaos, and strange attractors
  • Bifurcations of Convection States in Toroidal Shells
  • On the oscillatory instability of a differentially heated fluid loop


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