The aim of the study is to give an idea of the non-linear concept of music expressing the post-modern concept of the world.Novelty of the work. For the first time the novelty (radicalism) of composer’s thinking is revealed, the basis of which is the principle of objective multivariance and an open format. Initially the author’s definition of nonlinear musical reality is given, where three forms of representation are distinguished: local, total and polyfurcation.The synergetic methodology was used for the first time (developed in the philosophy of the second half of the 20th century), which allows to reveal a new essence and new quality of musical and artistic compositions relevant to the post-modern (post-non-classical) state of the world and, accordingly, to composer’s thinking. Models of nonlinear musical systems encompass genre forms that define actionism – happening, instrumental theater, and performance, as well as collage and intertextuality techniques. The non-classical side of the new musical reality is a new interpretation of the synthesis, either linked to a non-trivial approximation of the art types and leveling of the species boundaries – musical and verbal (phonetic) in the of meso-, acro- and television, musical and quasi-theatrical, musical and visual, as well musical-sound and technogenic, or with the replacement of the classical synthesis the simultaneous combination of visible and audible events in a polyphenomenal counterpoint. On this basis, a kind of polytext was formed, the feature of which was nonlinearity. Its most radical is represented by the art-mixed compositions of D. Cage with a fully relaxed form (I. Dobritsyna).Conclusions. The distinctive features of nonlinearity in music are the randomness of the process, the openness of the form, the multivariance and interpretability of both text and means of expression, where the material is combined on the basis of modeling without functional interference of different types of art, and the process of self-organization proceeds in accordance with the call of the attractor.