Pattern selection in oscillatory rotating convection
From MaRDI portal
Publication:1841171
DOI10.1016/S0167-2789(00)00160-3zbMath1010.76031OpenAlexW2105355266MaRDI QIDQ1841171
Publication date: 13 May 2003
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0167-2789(00)00160-3
stabilityheteroclinic cycleTaylor numberKüppers-Lortz instabilityquasiperiodic orbitsthree-dimensional pattern selectionsymmetric bifurcation theoryoscillatory rotating convectionlow Prandtl number Boussinesq fluidtravelling roll
Related Items
The \(1:\sqrt 2\) Hopf/steady-state mode interaction in three-dimensional magnetoconvection, Modelling instability \(ABC\) flow using a mode interaction between steady and Hopf bifurcations with rotational symmetries of the cube, Investigation of the ABC flow instability with application of centre manifold reduction, Instability of flows near the onset of convection in a rotating layer with stress-free horizontal boundaries
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- A classification of degenerate Hopf bifurcations with O(2) symmetry
- Classification and unifolding of degenerate Hopf bifurcations with 0(2) symmetry: No distinguished parameter
- Phase portraits and bifurcations of the non-linear oscillator: \(x+(\alpha+\gamma x^ 2)x'+\beta x+\delta x^ 3=0\)
- Singularities and groups in bifurcation theory. Volume II
- Transverse bifurcations of homoclinic cycles
- Robust heteroclinic cycles
- Oscillatory convection in a rotating layer
- Stable quasiperiodic solutions in the Hopf bifurcation with \(D_4\ltimes T^2\) symmetry
- Instabilities of hexagonal patterns with broken chiral symmetry
- Rapidly rotating thermal convection at low Prandtl number
- Nonlinear properties of convection rolls in a horizontal layer rotating about a vertical axis
- Bifurcations of Relative Equilibria
- Fully nonlinear three-dimensional convection in a rapidly rotating layer
- Hopf bifurcation with the symmetry of the square
- Nonlinear periodic convection in double-diffusive systems
- Weakly nonlinear oscillatory convection in a rotating fluid
- Asymptotic stability of heteroclinic cycles in systems with symmetry
- Instability of rotating convection
- Heteroclinic cycles involving periodic solutions in mode interactions with O(2) symmetry
- On the uniqueness of invariant tori in D4*S1symmetric systems
- Transition from laminar convection to thermal turbulence in a rotating fluid layer
- Thermal inertial waves in a rotating fluid layer: Exact and asymptotic solutions
