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

被引：3

作者：

Idris, R. ^{[1
]}

Siri, Z. ^{[2
]}

Hashim, I. ^{[3
]}

机构：

[1] Univ Malaysia Terengganu, Fac Sci & Technol, Dept Math, Kuala Terengganu 21030, Terengganu, Malaysia

[2] Univ Malaya, Inst Math Sci, Kuala Lumpur 50603, Malaysia

[3] Univ Kebangsaan Malaysia, Sch Math Sci, Bangi 43600, Selangor, Malaysia

来源：

ABSTRACT AND APPLIED ANALYSIS | 2013年

关键词：

LYAPUNOV EXPONENTS; TRANSITIONS; HYSTERESIS; ROUTES;

D O I：

10.1155/2013/428327

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：10

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