Heteroclinic bifurcations in a simple model of double-diffusive convection

DOI10.1017/S0022112092004403zbMath0770.76061MaRDI QIDQ4017621

M. R. E. Proctor, Nigel Weiss, Edgar Knoblauch

Publication date: 16 January 1993

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

zbMATH Keywords

nonlinear oscillationsphase spacetwo-dimensional thermosolutal convectiontemporal chaoscomplex fluid dynamical systemthree- dimensional convectiontruncated modal expansions

Mathematics Subject Classification ID

Free convection (76R10) Bifurcations in context of PDEs (35B32)

Related Items

Double-zero degeneracy and heteroclinic cycles in a perturbation of the Lorenz system, Staircase solutions and stability in vertically confined salt-finger convection, On the Chaotic Dynamics Associated with the Center Manifold Equations of Double-Diffusive Convection Near a Codimension-Four Bifurcation Point at Moderate Thermal Rayleigh Number, Takens-Bogdanov bifurcations of equilibria and periodic orbits in the Lorenz system, Superluminal periodic orbits in the Lorenz system, Chaotic dynamics of large-scale double-diffusive convection in a porous medium, Asymptotically exact codimension-four dynamics and bifurcations in two-dimensional thermosolutal convection at high thermal Rayleigh number: chaos from a quasi-periodic homoclinic explosion and quasi-periodic intermittency, Center cyclicity of Lorenz, Chen and Lü systems, Thermosolutal and binary fluid convection as a \(2\times 2\) matrix problem, Homoclinic bifurcation in Blasius boundary-layer flow, Chaotic Saddles in a Generalized Lorenz Model of Magnetoconvection, Crisis and hyperchaos in a simplified model of magnetoconvection

Cites Work

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