Abstract
The Chebyshev polynomial approximation is used to investigate the stochastic bifurcation of van der Pol system with two-sided barriers. The numerical results show that there is not only diverse phenomena of period-doubing bifurcation in the system, but also exist, the grazing bifurcation which is unique for the non-smooth system. The grazing bifurcation is investigated emphatically, and the influence of the random factor on the grazing bifurcation in the stochastic non-smooth dynamics system is analyzed. It is shown that the Chebyshev polynomial approximation is a valid method for the investigation of non-smooth systems.
| Original language | English |
|---|---|
| Pages (from-to) | 2107-2114 |
| Number of pages | 8 |
| Journal | Wuli Xuebao/Acta Physica Sinica |
| Volume | 57 |
| Issue number | 4 |
| State | Published - Apr 2008 |
Keywords
- Grazing bifurcation
- Non-smooth dynamic system
- Stochastic van der Pol system
- Two-sided barriers