SYMMETRIC PERIODIC ORBITS AND GLOBAL DYNAMICS OF TORI IN AN O(2) EQUIVARIANT SYSTEM: TWO-DIMENSIONAL THERMAL CONVECTION

DOI10.1142/S0218127405014404zbMath1093.76534OpenAlexW1984988224MaRDI QIDQ5474384

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Publication date: 23 June 2006

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127405014404

zbMATH Keywords

linear stability analysischaotic attractorsymmetry-conjugate quasi-periodic orbits

Mathematics Subject Classification ID

Related Items (2)

A parallel algorithm for the computation of invariant tori in large-scale dissipative systems ⋮ Computation of invariant tori by Newton-Krylov methods in large-scale dissipative systems

Cites Work

• Newton-Krylov continuation of periodic orbits for Navier-Stokes flows
• Elements of applied bifurcation theory.
• Bifurcation from periodic solutions with spatiotemporal symmetry, including resonances and mode interactions.
• Symmetries and dynamics for 2-D Navier-Stokes flow
• Nonlinear dynamics of vertical vorticity in low-Prandtl-number thermal convection
• From stationary to complex time-dependent flows at moderate Rayleigh numbers in two-dimensional annular thermal convection
• Bifurcations of periodic orbits with spatio-temporal symmetries
• Analysis of the shearing instability in nonlinear convection and magnetoconvection

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