Аннотация
Abstract We study the pre-inflationary evolution of the universe within the framework of loop quantum cosmology for a scalar field with potential , where α is a positive constant. In this framework, the classical initial singularity is resolved and replaced by a non-singular quantum bounce occurring at a critical energy density. Starting from the bounce, we analyze the background dynamics for both kinetic-energy-dominated and potential-energy-dominated initial conditions. Our results show that slow-roll inflation with a sufficient number of e -folds emerges generically over a wide range of initial inflaton values. We further examine the associated phase portrait and demonstrate the attractor behavior of the slow-roll inflationary solutions. Additionally, we study the spectral index and the tensor-to-scalar ratio r for three limiting cases of α , finding that the model is observationally viable in the intermediate regime.