1Department of Mathematics, DIT University, Dehradun, India-$248009$.
2Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi, India.
3School of Mathematical Sciences, Faculty of Science,Universiti Kebangsaan Malaysia (UKM).
4Department of Applied Mathematics, University of Tabuk, Saudi Arabia.
In this paper, we have investigated the chaotic behavior of thermal convection in couple stress liquid saturated porous layer subject to gravity, heated from below and cooled from above, based on theory of dynamical system. A low dimensional Lorenz- like model is obtained by using Galerkin-truncation approximation. We found that there is proportional relation between scaled couple stress parameter and rescaled Rayleigh number. We analyzed that increase in level of couple stress parameter increases the level of chaos.