In this work we have proposed a non-canonical model of exponential harmonic field as dark energy in FRW universe. In this context, we have studied the inflationnary parameters in presence of power law potential. The analysis showed that observational data have been confirmed for quadratic and cubic potentials. In addition, deceleration parameter have been examined by associating to that dark energy, gas of Chaplygin as dark matter; three types of parametrisation have been considered in this case. The behaviors of deceleration parameter show transition from positive values to negative values, which would show that recent accelerated phase of the universe was preceded by a deceleration phase.

中文翻译：

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指数谐波场的非正则模型的参数化

在这项工作中，我们提出了一个指数谐波场的非规范模型作为 FRW 宇宙中的暗能量。在这种情况下，我们研究了存在幂律势的通货膨胀参数。分析表明，二次势和三次势的观测数据已经得到证实。此外，通过与暗能量、Chaplygin 气体作为暗物质相关联来检查减速参数；在这种情况下已经考虑了三种类型的参数化。减速参数的行为表现出从正值到负值的转变，这表明宇宙最近的加速阶段之前是减速阶段。