This article is concerned with the investigation of dynamical behaviour of Kaluza-Klein(KK) FRW type dark energy cosmological models in the framework of a scalar-tensor theory of gravitation formulated by Saez and Ballester (Phys. Lett. A113,467:1986). Three cosmological models, in this theory, are presented by solving the field equations using (i) hybrid expansion law given by Pradhan et al. (Ind.J.Phys.89,5032015), (ii)varying deceleration parameter proposed by Mishra et al.(Int. J. Theor. Phy.52, 2546: 2013) and(iii)linearly varying deceleration parameter defined by Akarsu and Dereli (Int. J. Theor. Phys. 51, 612: 2012). We have evaluated the dynamical parameters for each of the models, namely, the equation of state (EoS) parameter, the deceleration parameter, statefinder parameter and total energy density parameter of dark energy. We have also found the scalar field in the models. We have discussed the dynamical behavior of the parameters through graphical representation with special reference to Planck Collaboration data. It is observed that our models describe accelerated expansion of the universe and our theoretical results are, reasonably, in good agreement with the observational data.

本文涉及的卡卢查-克莱因（KK）FRW型暗能量宇宙模型的动力学行为由赛斯和BALLESTER（物理学快报配制的万有引力的标量张量理论框架进行调查。113，467：1986 ）。在该理论中，通过使用（i）Pradhan等人给出的混合膨胀定律求解场方程，提出了三种宇宙学模型。（Ind.J.Phys 89，5032015），（ⅱ）改变减速参数提出Mishra等人（中间体理论值J.物理层。52，2546：2013）和（iii）线性变化的减速参数由Akarsu定义和Dereli（Int。J. Theor。Phys。51 ，612：2012）。我们评估了每个模型的动力学参数，即状态方程（EoS）参数，减速参数，statefinder参数和暗能量的总能量密度参数。我们还在模型中找到了标量字段。我们已经通过图形表示讨论了参数的动态行为，并特别参考了普朗克协作数据。可以看出，我们的模型描述了宇宙的加速膨胀，并且我们的理论结果在合理程度上与观测数据吻合良好。