Institute of Sound and Vibration Research University of Southampton, Southampton, UK.

24-26 July 1996

• The Course.
• The Venue.
• The Fee.
• Course Programme.
• Enrolement Form.

The Course

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.

• Department of Mathematics
  • Dr. D. Chillingworth (research interests: dynamical systems, bifurcation theory)
• ISVR
  • Professor J.K. Hammond (research interests: non-stationary and nonlinear systems, inverse problems)
  • Dr. W.B. Collis (research interests: higher order spectra)
  • Ms. E. Gottesman (research interests: system identification, Volterra series)
  • Mr. J.Y. Lee (research interests: impacting systems)
  • Mr. K.H. Shin (research interests: chaotic dynamics)
  • Dr. P.R. White (research interests: time-frequency methods, nonlinear systems, underwater signal processing)
  • Dr. M.C.M. Wright (research interests: nonlinear systems and MATLAB-based teaching)

  The Venue

  The Institute of Sound and Vibration Research at the University of Southampton.

  The Fee

  450 pounds: to include course notes and refreshments. Accommodation is not included in the fee; details of local hotels will be provided on request.

  Course Programme

  Wednesday, 24th July

  0830	Registration
  0845	Introduction to the Course
  0900	Introduction to nonlinear dynamical systems, examples and terminology
  1000	Coffee
  1030	Linear systems, eigenvalues, modes, local linearisation of nonlinear systems
  1145	Introduction to MATLAB; simulation of linear and nonlinear systems
  1245	Lunch
  1400	Introduction to chaos, Lyapunov exponents
  1550	Demonstrations of examples of nonlinear systems

  Thursday, 25th July

  0900	System input-output descriptions using Volterra series; time and frequency domains
  1000	Coffee
  1030	System identification and response prediction (neural networks, radial basis function,
  	NARMAX models)
  1145	MATLAB session: system identification (time domain)
  1245	Lunch
  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

  Friday, 26th July

  0900	Stable and unstable manifolds; Homoclinic orbits
  1000	Coffee
  1030	Delay maps; Takens embedding theorem, Singular Value Decomposition applied to nonlinear dynamics
  1145	MATLAB session on phase portrait reconstruction, Lyapunov exponents
  1245	Lunch
  1400	Introduction to impacting systems
  1530	Concluding discussion

  Enrolment Form

   
  Nonlinear Systems - 24-26 July 1996  - Enrolment form
   
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  Please send completed application form to:
  
  Mrs. M.Z. Strickland, ISVR, University of Southampton, Southampton SO17 1BJ, England (Fax: 01703 593190)

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  Source: Emma Gottesman (ekg@isvr.soton.ac.uk).

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  Last Updated: 9th July 1996.
  
  

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