Co-symmetry breakdown in problems of thermal convection in porous medium

DOI10.1016/0167-2789(95)00045-6zbMath0899.76167OpenAlexW2128672197MaRDI QIDQ1842199

Dmitry Bratsun, Dmitry V. Lyubimov, Bernard Roux

Publication date: 18 April 1995

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

Full work available at URL: https://doi.org/10.1016/0167-2789(95)00045-6

zbMATH Keywords

horizontal cylinderlimit cyclesnormal formquasi-periodic solutiontransition to chaossupercritical parameterdegeneracy of solutionsnon-integer fractal dimensionsaturating incompressible fluidtwisted manifolds

Mathematics Subject Classification ID

Related Items (10)

Cosymmetric families of steady states in Darcy convection and their collision ⋮ Scenarios of the onset of unsteady regimes in the problem of plane convective flow through a porous medium ⋮ Family of equilibria in a population kinetics model and its collapse ⋮ Anisotropic problem of Darcy convection: family of steady flows and its disintegration during the destruction of cosymmetry ⋮ Destruction of the family of steady states in the planar problem of Darcy convection ⋮ Bifurcations accompanying monotonic instability of an equilibrium of a cosymmetric dynamical system ⋮ Onset of thermal convection in a vertical porous cylinder with conducting wall ⋮ Branching of 2D tori off an equilibrium of a cosymmetric system (codimension-1 bifurcation) ⋮ Spatially localized binary fluid convection in a porous medium ⋮ Bifurcations accompanying monotonic instability of an equilibrium of a cosymmetric dynamical system

Cites Work

• Cosymmetry, degeneration of solutions of operator equations, and origin of a filtration convection
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