利用有限元方法研究 Luo-Rudy I 模型相关单参数动力系统的极限环
数值分析
2024-05-03 v1 数值分析
摘要
根据 Luo-Rudy I 模型，一个单参数动力系统与控制心室心肌细胞膜兴奋性的数学问题相关联。极限环由扩展系统的解来描述。采用有限元方法时间近似 (FEM) 来 formulat 近似问题。从 Hopf 分岔点出发，利用弧长延拓法和 Newton 法逐步获得近似极限环。文中展示了一些数值结果。
引用
@article{arxiv.1110.4307,
title = {Limit cycles by FEM for a one-parameter dynamical system associated to the Luo-Rudy I model},
author = {Cătălin Liviu Bichir and Adelina Georgescu and Bogdan Amuzescu and Gheorghe Nistor and Marin Popescu and Maria-Luiza Flonta and Alexandru Dan Corlan and Istvan Svab},
journal= {arXiv preprint arXiv:1110.4307},
year = {2024}
}
备注
Presented at the 18th Conference on Applied and Industrial Mathematics - CAIM 2010, Ia\c{s}i, Romania, October 14-17, 2010; http://www.romai.ro, http://rj.romai.ro