高见

• 1:安庆师范大学数理学院

摘要(Abstract)：

针对“非线性动力学”研究生课程中螺旋波解获取的这一教学难点，文章提出了基于对称性破缺原理的螺旋波诱导方法，并成功应用于教学实践。该方法呈现了“理论推导-数值仿真-实验验证”三位一体的教学框架，开发了开源Python/Matlab双版本仿真平台，并集成了动态可视化系统与多尺度验证案例。教学实践表明，实验组较传统教学组的任务完成率提升了69.2%(88%vs 52%)且耗时降低了31.6%，有效强化了学生对非平衡态螺旋波产生机制的理解。该方法可以为心律失常模拟、化学振荡调控等跨学科研究提供标准化教学范式，未来也可以拓展至混沌系统多螺旋态调控与深度学习辅助波拓扑设计等领域。

关键词(KeyWords)： 非线性动力学;螺旋波;正交法;复杂系统

Abstract:

Keywords:

基金项目(Foundation): 安庆师范大学校级重点教研项目（2023aqnujyxm25）;安庆师范大学校级一般教研项目（2024aqnuaijy13）

作者(Author): 高见

DOI: 10.13757/j.cnki.cn34-1328/n.2025.03.016

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