This special issue “Nonlinear dynamics of phase transitions” is devoted to recent trends in the mathematical description of phase transitions, which arise in many research problems ranging from physical and chemical processes to biophysics and life science. The theory of these processes and phenomena presented by leading researchers is closely connected with various areas of pure and applied mathematics including nonlinear dynamics, pattern formation, non-Markovian processes, anomalous transport, time delay, and integral equations. The present special issue contains 29 original and high-quality contributions related to the mathematical theory of phase transitions including the models, computational algorithms, and analysis. Contributions devoted to real applications of nonlinear dynamics of phase transitions in physical, physicochemical, and biophysical processes and natural phenomena are included as well.

We sincerely thank all the authors who submitted research articles and the reviewers who assisted in reviewing these articles.

We would also like to thank the editorial board of Mathematical Methods in the Applied Sciences for their invaluable support of our special issue at all stages of its preparation.

本期特刊“相变的非线性动力学”专门讨论相变数学描述的最新趋势，这些趋势出现在从物理和化学过程到生物物理学和生命科学的许多研究问题中。主要研究人员提出的这些过程和现象的理论与纯数学和应用数学的各个领域密切相关，包括非线性动力学、模式形成、非马尔可夫过程、异常传输、时间延迟和积分方程。本期特刊包含 29 篇与相变数学理论相关的原创和高质量贡献，包括模型、计算算法和分析。致力于相变非线性动力学在物理、物理化学、

我们衷心感谢所有提交研究文章的作者和协助审阅这些文章的审稿人。

我们还要感谢《应用科学中的数学方法》的编辑委员会在我们的特刊准备的所有阶段给予的宝贵支持。