Abstract— Chaos in double diffusive convection was investigated in this paper. A five-dimensional model of chaotic system was obtained using the Galerkin truncated approximation. The results showed ,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.

Index Terms—Chaos, double-diffusive convection, concentration, limit cycle.

Zailan Siri, Siti Norfarahin Hasan are with Institute of Mathematical Sciences, University of Malaya, 50603 Kuala Lumpur, Malaysia (email: zailansiri@um.edu.my).
Rose Irnawaty Ibrahim is with Faculty of Science and Technology, Universiti Sains Islam Malaysia, 71800 Bandar Baru Nilai, Negeri Sembilan, Malaysia.

Cite: Zailan Siri, Siti Norfarahin Hasan, Rose Irnawaty Ibrahim, "Chaos of Double Diffusive Convection in the Presence of Feedback Control Strategy," International Journal of Applied Physics and Mathematics vol. 8, no. 2, pp. 10-17, 2018.