In contemporary literary studies one can clearly observe the process of different interpretation of former approaches to literary works and artistic legacy of some outstanding authors. The attention of scientists is focused on such categories that can contribute to the reconstruction of a complete picture of the writing career of an individual author or a specific period in the literary development of the country. One of these categories is an artistic thinking. Analysis of the artistic thinking allows us to study the works of the poet as a living dynamic system, paying attention to both the specific elements and their relationships. By selecting the concept "artistic thinking" out of other synonyms and categorizing it, we show absolutely different possibilities for the analysis of such difficult to interpret phenomena as cognitive processes and their reflection in pieces of writing. Such processes can't be found in rationally oriented epic genres. We offer a kind of "matrix" of studying systematic artistic thinking that can be applied in the analysis of poetic worlds of different authors. This approach is seen to be productive and is recommended to be used by other literary critics as a possible way to get objective results while studying lyrics and lyrical systems.