安庆师范大学学报（自然科学版）2025，Vol.31Issue(3)：104-109,6.DOI:10.13757/j.cnki.cn34-1328/n.2025.03.016
振荡介质中获取螺旋波解的教学实践探析
Exploration and Analysis of Teaching Practices for Obtaining Spiral Wave Solutions in Oscillatory Media
摘要
Abstract
To address the teaching challenges in acquiring spiral wave solutions in the"Nonlinear Dynamics"course,this paper proposes a spiral wave induction method based on the symmetry-breaking principle and successfully applies it to teach-ing practice.A"theoretical derivation-numerical simulation-experimental verification"trinity teaching framework is designed,with an open-source dual-version simulation platform(Python/Matlab)developed,integrating dynamic visualization systems and multi-scale validation cases.Teaching practice demonstrates that the experimental group achieved a 69.2％higher task completion rate(88％vs 52％)and 31.6％reduced time consumption compared to the traditional teaching group,effectively strengthening students' understanding of generation mechanisms of non-equilibrium spiral waves.This method provides a standardized teaching paradigm for interdisciplinary research such as cardiac arrhythmia simulation and chemical oscillation regulation,and can be extended to fields like regulation of multi-spiral states in chaotic systems and deep learning-assisted wave topology design.关键词
非线性动力学/螺旋波/正交法/复杂系统Key words
non-linear dynamics/spiral wave/orthogonal method/complex systems分类
数理科学引用本文复制引用
高见..振荡介质中获取螺旋波解的教学实践探析[J].安庆师范大学学报（自然科学版）,2025,31(3):104-109,6.基金项目
安庆师范大学校级重点教研项目(2023aqnujyxm25)和安庆师范大学校级一般教研项目(2024aqnuaijy13) （2023aqnujyxm25）
