Simulation and Characteristic Analysis of College Music Teaching Based on Nonlinear Equation
Pubblicato online: 06 giu 2023
Pagine: 1735 - 1744
Ricevuto: 17 giu 2022
Accettato: 15 nov 2022
DOI: https://doi.org/10.2478/amns.2023.1.00276
Parole chiave
© 2023 Chunyu Ma, published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.
Musical symbols are a good way of expressing human emotions and communication. It is a kind of nonlinear dynamic system with hysteresis. It isn’t easy to analyze its nonlinear characteristics by conventional methods. This paper divides it into several parts from the form of music. Secondly, this paper studies the local attributes of music signals and generalizes and deduces their general features. Then the Lyapunov index of music is numerically simulated, and its energy spectrum is analyzed. It is proved that the method is weak to some extent. Through the music correlation dimension analysis, we find its inherent nonlinear characteristics. The nonlinear music signals corresponding to classical piano works are given in this paper. Finally, the correlation dimension is numerically simulated by differential operation. The results show that the nonlinear characteristics of this method are stable.