UK Nonlinear News,
Applied Nonlinear Maths at Bristol University
The Applied Nonlinear Mathematics group was set up by
Professor John Hogan upon his appointment to the chair
of the Department of Engineering Mathematics in 1992.
Historically, the department has been committed to using mathematics
to study real world problems of direct
engineering, scientific or industrial relevance.
Nonlinear mathematics is providing new insights into just these
kinds of problems so the formal
establishment of the group was a very natural step.
Since then it has expanded rapidly.
From October, it will have
13 full members. Apart from John Hogan, there are two other
permanent staff: Alan Champneys and Tony Richardson.
There will also be four postdoctoral researchers
and six PhD students. In addition, we work closely with Colin Campbell and Stephen Coombes
who are interested in the theory and application of
There are also strong links with the Applied Maths and Numerical Analysis
Group in the School of Maths and with many other individuals in the various
Engineering Departments at Bristol.
Faculty. In fact, the department benefits from its physical position
in the heart of the Engineering Faculty.
Further information about the group is available on the WWW
The research interests of the group
cover a wide spectrum of problems in nonlinear
dynamics, stability theory and applied computational mathematics.
Many of the current projects are in collaboration with the other
departments in the Engineering Faculty and the School of Medicine at Bristol.
There are also collaborative links with other Universities both within and
outside the UK and with Industry (for example Sharp Electronics, Hewlett
Packard, The Defence Research Agency, Nuclear Electric and
Schlumberger Cambridge Research). The group also holds currently hold
four research grants from the EPSRC Applied Nonlinear Mathematics Initiative.
and the group has recently been notably successful in obtaining funding from
the EPSRC Applied Nonlinear Mathematics Programme.
The group regularly hosts visiting academics and
the Benjamin Meaker Visiting
Professorship for 1996 has also been awarded to Joe McKenna from
Connecticutt, USA who
will be visiting the group from June onwards.
The following list
gives some examples of research interests of the group:
Current research projects include:
- Professor John Hogan
- Dynamics of piecewise linear systems,
nonlinear waves,liquid crystal dynamics, earthquake applications,
- Dr Tony Richardson
- General continuum mechanics,
electrical control of porous media flows.
- Dr Alan Champneys
- Dynamical systems,
numerical detection and continuation of homoclinic
orbits, nonlinear elastic buckling.
- Dr Stuart Doole
- Water waves, piecewise linear PDEs,
dynamical systems models of suspension bridges.
- Dr Gabriel Lord
- Numerical analysis of dynamical systems,
fluid instabilities, cylindrical shell buckling.
- adaptive control of chaotic systems
- adiabatic invariants and Hamiltonian systems
- communications applications of chaotic synchronisation
- complex spatial buckling of thin cylindrical shells
- computation of homoclinic orbits to periodic orbits
- computational methods for water waves
- dynamics of PDE models of suspension bridges
- oilwell drillstring dynamics
- extended dynamical systems models of wear
- inverse scattering problems in electromagnetism
- liquid crystal defects
- modelling health care planning
- pursuit-evasion game theory for aircraft
- torsional post-buckling of rods
- transitions in liquid crystal dynamics
- use of wavelets for numerical discretisation
A preprint series was started in 1994.
A list of available
titles (many of which can be downloaded) is at
The web site also holds the FAQ for the newsgroup
sci.nonlinear, the HTML version of which is maintained by
Stuart Doole at
The group has two research opportunities
at the moment.
The first is a Postdoctoral Research Assistantship for one year,
plus possibly three more, into the mathematical modelling of air combat
and other pursuit evasion problems. The successful
applicant will have his/her own dedicated workstation
and a generous travel budget. The
second is an earmarked EPSRC PhD Research Studentship which
is concerned with the understanding and controlling of
oil-well drillstring dynamics. For more information
on both of these, see elsewhere in
UK Nonlinear news, or the WWW page:
Alternatively, contact directly John Hogan or Alan Champneys
(firstname.lastname@example.org) respectively for more details.
For further information about the group or
the possibility of PhD/postdoctoral research, please contact
Professor John Hogan,
Department of Engineering Mathematics, University of Bristol,
Queen's Building, University Walk, Bristol BS8 1TR, U. K.
Phone: (0117) 928 7752 Fax: (0117) 925 1154
<< Move to UK Nonlinear News
Issue Two index page
15 Sept. 1995