Heteroclinic Bifurcation of Strongly Nonlinear Oscillator |
| |
| Authors: | ZHANG Qi-Chang WANG Wei LI Wei-Yi |
| |
| Affiliation: | Department of Mechanics, School of Mechanical Engineering, Tianjin University, Tianjin 300072State key Laboratory of Engines, Tianjin University, Tianjin 300072 |
| |
| Abstract: | ![]()
Analytical prediction of heteroclinic bifurcation of the strongly nonlinear oscillator is presented by using the extended normal form method. We consider the approximate periodic solution of the system subject to the quintic nonlinearity by introducing the undetermined fundamental frequency. For the occurrence of heteroclinicity, the bifurcation criterion is accomplished. It depends on the contact of the limit cycle with the saddle equilibrium. As is illustrated, the explicit application shows that the new results coincide very well with the results of numerical simulation when disturbing parameter is ofarbitrary magnitude. |
| |
| Keywords: | 82.40.Bj 47.20.Ky 02.30.Hq |
| 本文献已被 维普 等数据库收录！ |
| 点击此处可从《中国物理快报》浏览原始摘要信息 |
|
点击此处可从《中国物理快报》下载免费的PDF全文 |
|
