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
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
收藏
页数:10
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