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.
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页数：10
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