- Studentships:
- Dynamics of Oil-Well Drillstrings (Bristol)
- Evolution Equation for a Flame Front (UMIST)
- Stochastic Resonance and Nonlinear Signal Processing (UMIST)

- Research Assistantships:
- Mathematical Modelling of Air Combat (Bristol)
- Mathematical Modelling of Scar Tissue Formation (Warwick)
- Astrophysical Fast Dynamo Action (Leeds)
- Astrophysical Fluid Dynamics (Leeds)

Lateral Vibrations in Oil-Well Drillstrings

A PhD studentship, funded by EPSRC,is available to offer to someone
interested in working on an application of dynamical systems to a
real-world Engineering problem arising in the oil industry.

The project will involve mathematical modelling, numerical bifurcation
analysis and simulation, together with an application of the theory of
torus maps, nonlinear rotors, impact oscillators, and homoclinic
bifurcations.

The studentship is to be held in the Engineering Mathematics Department of the University of Bristol starting in October 1995 (negotiable). Within the department there is a vibrant research group in applied nonlinear mathematics with currently 4 postdocs and 5 PhD students. There are also close links to groups in the School of Mathematics and in other engineering departments.

The award is only open to those considered eligible for EPSRC
studentships, that is, British (fees plus maintenance grant) or
European Community (fees only). The EPSRC has given very little notice
of this studentship, so we are seeking a suitable
candidate
**as soon as possible**.
If you know of anyone who might be interested, please
encourage them to contact me directly and I will be happy to supply
further details.

*Contact:*
Dr
Alan Champneys
(*a.r.champneys@bristol.ac.uk*)

Department of Engineering Mathematics,
Queens Building,
University Walk,
Bristol BS8 1TR

Both studentships are to be held in the mathematics department at UMIST.

*Contact:*
David Broomhead
(*D.Broomhead@newton.newton.cam.ac.uk
*)

(From 1/9/95)
Department of Mathematics,
UMIST,
PO Box 88,
Manchester
M60 1QD,
UK

**Aim:**
the aim of this study is to model pilot behaviour in air combat
situations using chaos theory and to assess its value in validating air
combat simulations. The objectives are to
identify possible models of observed behaviour of fighter
pilots in air combat simulations, and to implement one possible model
in computer simulations.
**Funding:**
the initial funding is for one year but there is a strong possibility
that the contract will be renewed for up to another 3 years after that.

**Salary: **
initial salary will be up to 17,500 UK pounds
depending on age and experience
**Facilities: **
a dedicated workstation will be available for this project, together with
a complete copy of MATLAB. There is a generous travel budget. The
successful applicant will be joining an expanding group of young
researchers working on applying modern dynamical systems methods to
problems of industrial and engineering interest.
See the group's home page on
http://www.fen.bris.ac.uk/engmaths/research/nonlinear/nonlinear.html
for more detail. It is also expected that strong links will be made with the
group in Mathematical Biology led by Dr. Houston (Zoology) and Dr.
MacNamara (Mathematics) where related problems in pursuit-evasion theory
are of interest.

*Contact:*
Prof
S. J. Hogan
(*S.J.Hogan@bristol.ac.uk*)

Department of Engineering Mathematics,
Queens Building,
University Walk,
Bristol BS8 1TR

The successful applicant will have a PhD in mathematical biology or a related area, with experience of analytical and numerical study of partial differential equations. Applications, including a curriculum vitae and two letters of recommendation, should be sent to Dr Jonathan Sherratt, as soon as possible, and in any case no later than 15 November 1995.

A fuller advert is available by anonymous
ftp to ftp.maths.warwick.ac.uk as
*jas@maths.warwick.ac.uk*)

The Mathematics Institute, University of Warwick, Coventry CV4 7AL, UK.

*Contacts:*
Prof David Hughes
(*dwh@amsta.leeds.ac.uk*),
Prof S.A.E.G. Falle

Department of Applied Mathematics, The University, LEEDS. LS2 9JT

Send curriculum vitae, abstract of a current research program, and four letters of recommendation to Search Committee Chairman, Math. Dept., CB #3250 Phillips Hall, UNC at Chapel Hill, Chapel Hill, NC 27599- 3250. EO/AA Employer. Women and minorities are encouraged to identify themselves voluntarily. Completed applications received by respectively, November l, l995 for the earmarked position, and December l5, l995 for the second position, are assured of full consideration.

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