Interpreting a period-adding bifurcation scenario in neural bursting patterns using border-collision bifurcation in a discontinuous map of a slow control variable |
| |
Authors: | Mo Juan Li Yu-Ye Wei Chun-Ling Yang Ming-Hao Gu Hua-Guang Qu Shi-Xian Ren Wei |
| |
Affiliation: | College of Life Science, Shaanxi Normal University, Xi'an 710062, China; College of Physics and Information Technology, Shaanxi Normal University, Xi'an 710062, China |
| |
Abstract: | To further identify the dynamics of the period-adding bifurcation scenarios observed in both biological experiment and simulations with the differential Chay model, this paper fits a discontinuous map of a slow control variable of the Chay model based on simulation results. The procedure of period adding bifurcation scenario from period k to period k+1 bursting (k=1, 2, 3, 4) involved in the period-adding cascades and the stochastic effect of noise near each bifurcation point is also reproduced in the discontinuous map. Moreover, dynamics of the border-collision bifurcation are identified in the discontinuous map, which is employed to understand the experimentally observed period increment sequence. The simple discontinuous map is of practical importance in the modeling of collective behaviours of neural populations like synchronization in large neural circuits. |
| |
Keywords: | period-adding bifurcation border-collision bifurcation discontinuous maps neural bursting pattern |
本文献已被 CNKI 维普 等数据库收录! |
| 点击此处可从《中国物理 B》浏览原始摘要信息 |
|
点击此处可从《中国物理 B》下载免费的PDF全文 |
|