Continuation of Double Hopf Points in Thermal Convection of Rotating Fluid Spheres

DOI10.1137/20M1333961zbMath1465.76040OpenAlexW3122619721MaRDI QIDQ4983528

Juan Sanchez-Umbria, M. Net

Publication date: 20 April 2021

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/20m1333961

zbMATH Keywords

stability analysisperiodic solutionHopf bifurcationcontinuation methodtorsional solution

Mathematics Subject Classification ID

Convection in hydrodynamic stability (76E06) Rotation in hydrodynamic stability (76E07) Stability and instability of geophysical and astrophysical flows (76E20)

Uses Software

• AUTO
• AUTO-86
• LOCA
• pde2path

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Exponential versus IMEX high-order time integrators for thermal convection in rotating spherical shells
• Radial collocation methods for the onset of convection in rotating spheres
• Computations of the axisymmetric flow between rotating cylinders
• Singularities and groups in bifurcation theory. Volume II
• Numerical methods for bifurcation problems and large-scale dynamical systems. Based on two workshops held as part of the 1997--1998 IMA academic year on emerging applications of dynamical systems
• Stability and transition in shear flows
• Computational modelling of bifurcations and instabilities in fluid dynamics
• A comparison of high-order time integrators for thermal convection in rotating spherical shells
• Critical torsional modes of convection in rotating fluid spheres at high Taylor numbers
• The onset of strongly localized thermal convection in rotating spherical shells
• The Significance of Simple Invariant Solutions in Turbulent Flows
• pde2path - A Matlab Package for Continuation and Bifurcation in 2D Elliptic Systems
• An experimental and theoretical investigation of the onset of convection in rotating spherical shells
• Experimental and numerical studies of convection in a rapidly rotating spherical shell
• Oscillatory Convection in Rotating Spherical Shells: Low Prandtl Number and Non-Slip Boundary Conditions
• On the onset of low-Prandtl-number convection in rotating spherical shells: non-slip boundary conditions
• Convective flows in rapidly rotating spheres and their dynamo action
• The Calculation of Hopf Points by a Direct Method
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Numerical calculations of the primary-flow exchange process in the Taylor problem
• Spiralling columnar convection in rapidly rotating spherical fluid shells
• Asymptotic theory of thermal convection in rapidly rotating systems
• Algorithm 502: Dependence of Solution of Nonlinear Systems on a Parameter [C5]
• Finite-amplitude convection in rotating spherical fluid shells
• Zonal flow driven by strongly supercritical convection in rotating spherical shells
• Theory and Computation of Hydrodynamic Stability
• The onset of thermal convection in a rapidly rotating sphere
• Deflation Techniques for an Implicitly Restarted Arnoldi Iteration
• The onset of thermal convection in rotating spherical shells
• Numerical Methods for Bifurcations of Dynamical Equilibria
• Robust wall states in rapidly rotating Rayleigh–Bénard convection
• Continuation of Bifurcations of Periodic Orbits for Large-Scale Systems
• Asymptotic theory for torsional convection in rotating fluid spheres
• Numerical Bifurcation Methods and their Application to Fluid Dynamics: Analysis beyond Simulation
• On the thermal instability of a rotating-fluid sphere containing heat sources
• Thermal instabilities in rapidly rotating systems
• Prandtl-number dependence of convection-driven dynamos in rotating spherical fluid shells

This page was built for publication: Continuation of Double Hopf Points in Thermal Convection of Rotating Fluid Spheres