homoclinic explosion
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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

Physica D Nonlinear Phenomena ◽

10.1016/j.physd.2018.06.004 ◽

2018 ◽

Vol 382-383 ◽

pp. 1-21 ◽

Cited By ~ 2

Author(s):

Justin S. Eilertsen ◽

Jerry F. Magnan

Keyword(s):

Rayleigh Number ◽

Thermosolutal Convection ◽

Two Dimensional ◽

Homoclinic Explosion ◽

Thermal Rayleigh Number

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On a Five-Dimensional Chaotic System Arising from Double-Diffusive Convection in a Fluid Layer

Abstract and Applied Analysis ◽

10.1155/2013/428327 ◽

2013 ◽

Vol 2013 ◽

pp. 1-10 ◽

Cited By ~ 3

Author(s):

R. Idris ◽

Z. Siri ◽

I. Hashim

Keyword(s):

Hopf Bifurcation ◽

Chaotic System ◽

Fluid Layer ◽

Double Diffusive Convection ◽

Dimensional Model ◽

Diffusive Convection ◽

Five Dimensional Model ◽

Homoclinic Explosion ◽

Steady Convection ◽

Double Diffusive

A chaotic system arising from double-diffusive convection in a fluid layer is investigated in this paper based on the theory of dynamical systems. A five-dimensional model of chaotic system is obtained using the Galerkin truncated approximation. The results showed that the transition from steady convection to chaos via a Hopf bifurcation produced a limit cycle which may be associated with a homoclinic explosion at a slightly subcritical value of the Rayleigh number.

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