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音乐作品由“音乐音”所生成,它们在时间序列轨道与空间的序列轨道上不断地发生、发展和演化,并在基本表现手段和整体表现手段的不同层面上形成各自的轨迹。一系列“音乐事件”的发生、发展和演化必然要经历一个过程,其中既有确定性行为,也有不确定性行为。它们时而有序,时而无序;时而有规律,时而无规律。从系统的观点来看,其生成、发展和演化过程形成了确定性行为与不确定性行为同生共存综合体——一个非线性动态系统。 音乐作品在时间序列上表现为混沌运动——从有序逐渐过渡到“无序”,这种混沌运动貌似随机而实质上有其内在的、深层的规律性,即混沌序;在空间序列上表现为分形——它不断地向精细结构发展,形成局部与整体的自相似性。
Musical compositions are produced by “musical sound”. They constantly occur, develop and evolve in the sequence orbit of time series orbit and space, and form their own tracks at different levels of basic presentation and overall presentation. The occurrence, development and evolution of a series of “music events” inevitably have to go through a process in which there are both deterministic behaviors and uncertain behaviors. They are orderly and sometimes disorderly; sometimes regular and sometimes irregular. From the system point of view, its formation, development and evolution form the coexistence of symbiotic determinacy and uncertainty behavior - a nonlinear dynamic system. The musical works appear as the chaotic movement in the time sequence - from the gradual transition from order to “disorder”. This kind of chaotic movement appears to be random and essentially has its inherent and deep regularity, that is, the chaotic sequence. In the spatial sequence The performance of fractal - it continues to fine structure development, the formation of local and overall self-similarity.