NDLI: Prediction of the dynamic oscillation threshold in a clarinet model with a linearly increasing blowing pressure: influence of noise

Content Provider	Springer Nature Link
Author	Bergeot, B. Almeida, A. Vergez, C. Gazengel, B.
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 a higher value, called dynamic oscillation threshold.In a previous work Bergeot et al. in Nonlinear Dyn. doi: 10.1007/s11071-013-0806-y , (2013), 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.
Starting Page	591
Ending Page	605
Page Count	15
File Format	PDF
ISSN	0924090X
Journal	Nonlinear Dynamics
Volume Number	74
Issue Number	3
e-ISSN	1573269X
Language	English
Publisher	Springer Netherlands
Publisher Date	2013-07-19
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Musical acoustics Clarinet-like instruments Iterated maps Dynamic Bifurcation Bifurcation delay Transient processes Noise Finite precision Vibration, Dynamical Systems, Control Mechanics Mechanical Engineering Automotive Engineering
Content Type	Text
Resource Type	Article
Subject	Ocean Engineering Applied Mathematics Control and Systems Engineering Mechanical Engineering Electrical and Electronic Engineering Aerospace Engineering

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Prediction of the dynamic oscillation threshold in a clarinet model with a linearly increasing blowing pressure

Iterated maps for clarinet-like systems

Prediction of the dynamic oscillation threshold in a clarinet model with a linearly increasing blowing pressure : influence of noise

Prediction of the dynamic oscillation threshold in a clarinet model with a linearly increasing blowing pressure: Influence of noise

Prediction of the dynamic oscillation threshold in a clarinet model with a linearly increasing blowing pressure : Influence of noise

Prediction of the dynamic oscillation threshold in a clarinet model with a linearly increasing blowing pressure

Attack transients in a clarinet model with time-varying blowing pressure

Prediction of the dynamic oscillation threshold in a clarinet model with a linearly increasing blowing pressure : influence of noise

Attack transients in a clarinet model with time-varying blowing pressure

Prediction of the dynamic oscillation threshold in a clarinet model with a linearly increasing blowing pressure: influence of noise

Similar Documents

Prediction of the dynamic oscillation threshold in a clarinet model with a linearly increasing blowing pressure

Iterated maps for clarinet-like systems

Prediction of the dynamic oscillation threshold in a clarinet model with a linearly increasing blowing pressure : influence of noise

Prediction of the dynamic oscillation threshold in a clarinet model with a linearly increasing blowing pressure: Influence of noise

Prediction of the dynamic oscillation threshold in a clarinet model with a linearly increasing blowing pressure : Influence of noise

Prediction of the dynamic oscillation threshold in a clarinet model with a linearly increasing blowing pressure

Attack transients in a clarinet model with time-varying blowing pressure

Prediction of the dynamic oscillation threshold in a clarinet model with a linearly increasing blowing pressure : influence of noise

Attack transients in a clarinet model with time-varying blowing pressure

Prediction of the dynamic oscillation threshold in a clarinet model with a linearly increasing blowing pressure: influence of noise