<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</abstract>

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.

Simulation and Characteristic Analysis of College Music Teaching Based on Nonlinear Equation

Applied Mathematics and Nonlinear Sciences

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...

Simulation and Characteristic Analysis of College Music Teaching Based on Nonlinear Equation

Publié en ligne: 06 juin 2023

Pages: 1735 - 1744

Reçu: 17 juin 2022

Accepté: 15 nov. 2022

DOI: https://doi.org/10.2478/amns.2023.1.00276

Mots clés
Music teaching, Music simulation, Lyapunov index, Correlation dimension, Nonlinear

© 2023 Chunyu Ma, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Simulation and Characteristic Analysis of College Music Teaching Based on Nonlinear Equation

Publié en ligne: 06 juin 2023

Pages: 1735 - 1744

Reçu: 17 juin 2022

Accepté: 15 nov. 2022

DOI: https://doi.org/10.2478/amns.2023.1.00276

Mots clésMusic teaching, Music simulation, Lyapunov index, Correlation dimension, Nonlinear

© 2023 Chunyu Ma, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Mots clés
Music teaching, Music simulation, Lyapunov index, Correlation dimension, Nonlinear