Paraphrase the following text using more academic and scientific language Use a neutral tone and avoid repetitions of words and phrasesThe structure of this paper is as follows In Section II we introd

The present article is organized as follows. Section II offers an introduction to the kick-driven model, which incorporates the levy timing noise and amplitude-colored noise. In Section III, we provide a theoretical analysis of the decoherence factor with the aforementioned noises, and present numerical results for the momentum variance. Furthermore, we examine the dissimilarity between positive and negative autocorrelation colored noises. Section IV encompasses the computation of the out-of-time-order correlator in the quantum kick rotor with colored noise. Finally, Section V outlines our concluding remarks.