Paul Glendinning's Personal Pages
Address: |
School of Mathematics
Alan Turing Building
University of Manchester
Oxford Road
Manchester M13 9PL
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Room Number: |
2.236 Alan Turing Building
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Telephone: |
+44 (0)161 306 8972
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Fax: |
+44 (0)161 200 3669
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E-Mail: |
p.a.glendinning@manchester.ac.uk
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General:
Current activity
2003-2008: Head of School in the newly combined
School of Mathematics at the
University of Manchester.
2011-2014: Vice-President of the
Institute of Mathematics and its Applications.
2014: Prof Invite at the INLN (Institut Nonlineaire de Nice).
2016: Simons Visiting Researcher, CRM, Barcelona (Advances in Nonsmooth Dynamics programme).
2016-2021 : Scientific Director of ICMS in Edinburgh.
2021: Elected Fellow of the Royal Society of Edniburgh.
2022-2023: President of the Institute of Mathematics and its Applications
2024: Beyer Professor of Applied Mathematics, University of Manchester.
I am a Professor of Applied Mathematics, having previously held chairs in
UMIST and Queen Mary, University of London.
The photo is from my talk at the Royal Institution in 2014.
Recently I have been on Council of the IMA, Nominating Committee of LMS,
Royal Society Research Grants Scheme Physical Sciences Board.
If you are thinking of doing a Ph.D. with me then you
should get an application form from our
Postgraduate pages.
It is also a good idea to email
me
so that we can talk about what you might do.
You can find more details of the people
I work with and my academic career.
Some of my papers (and a list of other papers)
are also available. I also have some
personal links. Recent papers can be downloaded
from the departments eprint server.
I am interested in most areas of dynamical systems --
particularly bifurcation theory for maps and flows. I would welcome
approaches from prospective Ph.D. students who are interested in
working in this area.
- Piecewise Smooth Systems and Applications
This is a rapidly expanding area -- I am particularly interested in bifurcations
creating sets with large dimension.
- Bifurcation theory (particularly global bifurcations)
My current work here focusses on bifurcations from trajectories of differential
equations which extend to infinity (examples are the Falkner-Skan equations
and the Nose equations). These are still very poorly understood except on
an example by example basis. Much of this work is in collaboration with
Sir Peter Swinnerton-Dyer at the
Newton Institute in Cambridge.
- Synchronization and blowout bifurcations
Identical, globally coupled systems can have synchronized states in
which every system behaves identically. Bifurcation curves corresponding
to bifurcations in which typical chaotic synchronized solutions become
unstable may be extremely complicated (fractal). This is associated
with blowout bifurcations from the synchronized state (the loss of
transverse stability of atypical sychnronized states embedded in the
chaotic attractor) in ways which are not completely understood.
- Quasi-periodically forced systems
I've more or less stopped working on this, but I like the picture!.
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If you want a list of recent papers, some of which you can read in
pdf format, or download as tex files, click
here.
This picture
shows the Mandelbrot set for the complex quadratic map. It has almost
nothing to do with my research (except insofar as it is a representation
of the parameter space of a low dimensional map)
but you have to admit that it is pretty.
I stole this image from
Robert Devaney's Fractal Site.
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- D. Al-Saleh (2012-2017) Bifurcations in a model of Per1 Neurons, Manchester
- A. Ibrahim (2008-2012) Dynamics of Oligopoly Model, Manchester
- Silvia Pina Romero (2008 - 2012) Rotation intervals for quasi-periodically forced circle maps, Manchester
- Adyda Ibrahim (2008-2012) Dynamics of Oligopoly Models, Manchester
- Chi Hong Wang (2007 - 2011) Border collision bifurcations in piecewise smooth systems,
Manchester
- Andrew Irving (2006- 2012) General methods for large biological networks applied to fruit fly models,
Manchester
- Phil Ramsden (1998 - 2008, part-time) Mode-locking in periodically and quasi-periodically driven oscillators,
QMW, London
- Murad Banaji (1997 - 2001)
Identically coupled oscillators QMW, London
- Mark Johnston
(1994-1997) Coupled map lattices, Cambridge
- Carlo Laing (1994-1997)
Coupled oscillator networks, Cambridge
- James Robinson
(1991-1994) Inertial Manifolds , Cambridge
- Toby Hall
(1988-1991) Periodicity in chaos, Cambridge
A bit more about me
I'm not sure how much more you want to know, there is more academic
stuff here or you could try some
personal links.
If you would like to contact me for any reason then my email address
is p.a.glendinning@manchester.ac.uk
The views and opinions expressed in this page are mine alone and
the contents have not been approved or censored by the University of Manchester.
This page has been constructed with help from the source
code supplied by James Shepherd
to all members of staff in the
Maths Department at Imperial College.
I actually stole it from
John Elgin's
home page.
Back to the maths home page
Last up-dated Feb 2012.