Qualitative analysis of FHN model
The instability of equilibria for three-dimensional dynamical system converted from the FHN model in the sense of traveling waves has been proved. The existence of limit sets (either type-Ⅰ or type-Ⅱ) and the existence of homoclinic or heteroclinic orbits have been achieved and an open problem raised by Smoller on the existence of a traveling pulse has been solved. There exist chaotic phenomena near the equilibria or strange attractor via the first authors definition of chaos in differentiate dynamical systems. The bifurcation on certain parameters is also discussed and the explanation of chaos in biophysics has been concerned.
Ping-xing Sheng Xi-bo Duan
Department of Mathematics, College of Sciences, Shanghai University, Shanghai 200444, China
国际会议
The 5th International Conference on Nonlinear Mechanics(第五届国际非线性力学会议)
上海
英文
1551-1557
2007-06-11（万方平台首次上网日期，不代表论文的发表时间）