Loading...
Please wait, while we are loading the content...
Similar Documents
Prediction of the dynamic oscillation threshold in a clarinet model with a linearly increasing blowing pressure : influence of noise
| Content Provider | Semantic Scholar |
|---|---|
| Author | Bergeot, Baptiste Almeida, Andre Vergez, Christophe Gazengel, Bruno |
| Copyright Year | 2013 |
| Abstract | This paper presents an analysis of the effects of noise and precision on a simplified model of the clarinet driven by a variable control parameter. When the control parameter is varied the clarinet model undergoes a dynamic bifurcation. A consequence of this is the phenomenon of bifurcation delay: the bifurcation point is shifted from the static oscillation threshold to an higher value called dynamic oscillation threshold. In a previous work [8], the dynamic oscillation threshold is obtained analytically. In the present article, the sensitivity of the dynamic threshold on precision is analyzed as a stochastic variable introduced in the model. A new theoretical expression is given for the dynamic thresholds in presence of the stochastic variable, providing a fair prediction of the thresholds found in finite-precision simulations. These dynamic thresholds are found to depend on the increase rate and are independent on the initial value of the parameter, both in simulations and in theory. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://hal.inria.fr/docs/00/84/29/23/PDF/BBergeotDynThreNoisev2.pdf |
| Alternate Webpage(s) | https://hal.archives-ouvertes.fr/hal-00809293/document |
| Alternate Webpage(s) | https://hal.archives-ouvertes.fr/hal-00719228/document |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Anatomic bifurcation Bifurcation theory Image noise Population Parameter Simulation |
| Content Type | Text |
| Resource Type | Article |
