| 书目名称 | The FitzHugh-Nagumo Model |
| 副标题 | Bifurcation and Dyna |
| 编辑 | C. Rocşoreanu,A. Georgescu,N. Giurgiţeanu |
| 视频video | |
| 丛书名称 | Mathematical Modelling: Theory and Applications |
| 图书封面 |  |
| 描述 | The present monograph analyses the FitzHugh-Nagumo (F-N) model Le. , the Cauchy problem for some generalized Van der Pol equation depending on three real parameters a, band c. This model, given in (1. 1. 17), governs the initiation of the cardiac impulse. The presence of the three parameters leads to a large variety of dy namics, each of them responsible for a specific functioning of the heart. For physiologists it is highly desirable to have aglobai view of all possible qualitatively distinct responses of the F-N model for all values of the pa rameters. This reduces to the knowledge of the global bifurcation diagram. So far, only a few partial results appeared and they were spread through out the literature. Our work provides a more or less complete theoretical and numerical investigation of the complex phase dynamics and bifurca tions associated with the F-N dynamical system. This study includes the static and dynamic bifurcations generated by the variation of a, band c and the corresponding oscillations, of special interest for applications. It enables one to predict all possible types of initiations of heart beats and the mechanism of transformation of some types of oscilla |
| 出版日期 | Book 2000 |
| 关键词 | behavior; biology; cell; cell membrane; dynamics; electrophysiology; mathematics; ordinary differential equ |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-94-015-9548-3 |
| isbn_softcover | 978-90-481-5512-5 |
| isbn_ebook | 978-94-015-9548-3Series ISSN 1386-2960 |
| issn_series | 1386-2960 |
| copyright | Springer Science+Business Media Dordrecht 2000 |
发表于 2025-3-21 16:51:23
