In this paper, we explore the homogeneous and isotropic flat Friedmann–Robertson–Walker (FRW) model in Chameleon cosmology. By considering a non-minimal coupling between the scalar field and matter, we present a non-singular bouncing cosmological scenario of the universe. The universe initially exhibits the ekpyrotic phase during the contracting era, undergoes a non-singular bounce, and then in expanding era, it smoothly transits to the decelerating era having matter and radiation-dominated phases. Further, this decelerating era is smoothly connected to the late-time dark energy-dominated era of the present epoch. We use numerical solution techniques to solve non-minimally coupled gravity equations for understanding the evolution of scalar field along with other quantities like effective potential in the model. The model thus unifies an ekpyrotic, non-singular, asymmetric bounce with the dark energy era of the present epoch. We study the evolution of bouncing model and confront the model with observational results on the equation of state parameter by constraining the model parameters.

在本文中，我们探索了变色龙宇宙学中的均匀和各向同性的扁平 Friedmann-Robertson-Walker (FRW) 模型。通过考虑标量场和物质之间的非最小耦合，我们提出了宇宙的非奇异弹跳宇宙学场景。宇宙最初在收缩期呈现火热相，经历非奇异反弹，然后在膨胀期平稳过渡到以物质和辐射为主的减速期。此外，这个减速时代与当今时代晚期暗能量主导的时代顺利相连。我们使用数值求解技术来求解非最小耦合重力方程，以了解标量场的演化以及模型中的有效势等其他量。因此，该模型统一了一个 ekpyrotic，非奇异的、不对称的反弹与当前时代的暗能量时代。我们研究了弹跳模型的演化，并通过约束模型参数来对模型与状态参数方程的观测结果进行对比。