The course is intended for scientists and engineers who are concerned with the modelling and analysis of nonlinear systems, and the detection and classification of nonlinearity based on measured time series. The emphasis will be on fundamental considerations of dynamical systems, but a feature of the course will be MATLAB-based sessions in which participants will use readily available software to help reinforce the taught material.
It will be assumed that participants will have a working knowledge of linear differential equations.
Course Instructors are members of the Department of Mathematics and the Signal Processing and Control Group of the ISVR.
The Institute of Sound and Vibration Research at the University of Southampton.
450 pounds: to include course notes and refreshments. Accommodation is not included in the fee; details of local hotels will be provided on request.
|0845||Introduction to the Course|
|0900||Introduction to nonlinear dynamical systems, examples and terminology|
|1030||Linear systems, eigenvalues, modes, local linearisation of nonlinear systems|
|1145||Introduction to MATLAB; simulation of linear and nonlinear systems|
|1400||Introduction to chaos, Lyapunov exponents|
|1550||Demonstrations of examples of nonlinear systems|
|0900||System input-output descriptions using Volterra series; time and frequency domains|
|1030||System identification and response prediction (neural networks, radial basis function,|
|1145||MATLAB session: system identification (time domain)|
|1400||Higher order spectra (bi-spectra and tri-spectra) and higher order transfer functions.|
|Volterra and Wiener Series|
|1550||MATLAB session on higher order spectra|
|0900||Stable and unstable manifolds; Homoclinic orbits|
|1030||Delay maps; Takens embedding theorem, Singular Value Decomposition applied to nonlinear dynamics|
|1145||MATLAB session on phase portrait reconstruction, Lyapunov exponents|
|1400||Introduction to impacting systems|
Nonlinear Systems - 24-26 July 1996 - Enrolment form Name ___________________________________________________________ Company________________________________________________________ Address ________________________________________________________ ________________________________________________________ ________________________________________________________ Telephone No.____________________________ Fax: _____________________________ e-mail ______________________________ Company VAT number (if outside UK) ___________________________ **Please invoice me for =A3__________ **I enclose a cheque made payable to University of Southampton for =A3_____
Please send completed application form to:
Mrs. M.Z. Strickland, ISVR, University of Southampton, Southampton SO17 1BJ, England (Fax: 01703 593190)
Source: Emma Gottesman (firstname.lastname@example.org).
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Last Updated: 9th July 1996.