Bifurcations and highly nonlinear traveling waves in periodic dimer granular chains |
| |
| Authors: | Jianwei Shen Baojun Miao Jigui Luo |
| |
| Institution: | 1. Institute of Applied Mathematics, Xuchang University, Xuchang 461000, People's Republic of China;2. School of Science, Shanghai University, Shanghai 200444, People's Republic of China |
| |
| Abstract: | In this study, the highly nonlinear waves in periodic dimer granular chains were investigated by the theory of dynamical system and the method of phase diagram analysis. The bifurcations of the different traveling waves in parameter space and those different traveling waves and its phase diagram were given. In addition, the existence of smooth and non‐smooth traveling wave solutions are shown and various sufficient conditions to guarantee the existence of the above solutions were listed. Copyright © 2011 John Wiley & Sons, Ltd. |
| |
| Keywords: | bifurcations traveling wave dynamical system non‐smooth wave periodic dimer granular chains |
|
|
