The \(1:\sqrt 2\) mode interaction and heteroclinic networks in Boussinesq convection

DOI10.1016/j.physd.2007.06.024zbMath1141.76453OpenAlexW2163904329WikidataQ57940438 ScholiaQ57940438MaRDI QIDQ2382631

Peter Ashwin, Olga M. Podvigina

Publication date: 1 October 2007

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

Full work available at URL: http://hdl.handle.net/10036/19932

zbMATH Keywords

Mode interactionBoussinesq convectionCenter manifold reductionRobust heteroclinic networkSteady state bifurcation with symmetry

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Convection in hydrodynamic stability (76E06) Forced convection (76R05)

Related Items

Dependence of magnetic field generation by thermal convection on the rotation rate: a case study ⋮ The 1 : 2 spatial resonance on a hexagonal lattice in two-layered Rayleigh–Bénard problems ⋮ A heteroclinic network in mode interaction with symmetry ⋮ A minimal system with a depth-two heteroclinic network ⋮ Noise-induced switching near a depth two heteroclinic network and an application to Boussinesq convection ⋮ Magnetic field generation by convective flows in a plane layer: the dependence on the Prandtl numbers ⋮ On stability of rolls near the onset of convection in a layer with stress-free boundaries

Uses Software

• XPPAUT

Cites Work

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