prof s j hogan
prof s j hogan
professor s j hogan
personal details:
address:
applied nonlinear mathematics group,
department of engineering mathematics,
university of bristol,
queen's building, university walk,
bristol bs8 1tr, united kingdom
tel: +44 (0)117-928-7752
fax: +44 (0)117-925-1154
e-mail: s.j.hogan@bristol.ac.uk
www:
http://www.fen.bris.ac.uk/engmaths/research/nonlinear/staff/sjh.html
current research topics
research interests
some publications
research grants
applied nonlinear mathematics
back to engineering mathematics
current research topics
nonlinear dynamics and chaos
water waves
liquid crystals
earthquake engineering
cellular automata
remote sensing
applications of mathematics to medicine
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research interests:
there is a huge untapped reservoir of significant engineering, industrial and
other problems where mathematics can be applied in novel and useful ways or
which require innovative non-standard mathematics. in response to this need, the
applied nonlinear mathematics (anm)
group has been set up at bristol. it is
situated in the department of engineering mathematics
in the faculty of
engineering. it is ideally located to form a bridge between mathematics and
engineering where lengthy discussions with colleagues in other departments and
faculties can be carried out. part of the process involves our weekly nonlinear
workshops where problems are presented either solved or unsolved, and which are
open to all-comers.
the group started from
scratch in october 1992 and now has around 12 members
my own general area of interest is the
application of nonlinear mathematics to
problems of scientific, engineering, industrial and medical interest. i was
involved in nonlinear water wave research and this interest has continued in the
form of industrial consultancies for the defence research agency (dra). my early
work focused on the properties of nonlinear gravity-capillary waves, in
particular in connection with problems in radar back-scatter. more recently i
have worked on the effects of wave-wave interactions on surface wave spectra.
in 1984, i broadened my interests considerably by looking at several problems
connected with the energy industry. this work was also greatly helped by the
realisation that nonlinear dynamics could be useful in this area and that the
subject itself could benefit from such an involvement. this has led to a large
body of work on the effects of earthquakes on free standing objects, such as
ancient monuments or equipment in nuclear installations. my work in this area
provided the understanding for previously unexplained experimental results, by
producing excellent agreement with theory, in the area of piecewise-linear
ordinary differential equations. other successes have included analysing
fluidized bed flows in the presence of obstacles.
more recently my work has
focused on multiple responses of
suspension
bridgesand instabilities in
liquid
crystal layers. recent work in this latter area has proved very exciting, with
new theoretical work providing excellent agreement with experiments and very
recently, using bifurcation theory, the discovery of a new stable static
configuration of liquid crystals which may lead to a new type of switching
device. other work involves the application of
cellular automata methods to heat
exchanger design, the business process engineering of the orthopaedic section of
the avon health commission and the use of chaos to mask communications signals.
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some publications
journal publications
conference contributions
preprints
journal publications
the effect of damping on rigid block motion under harmonic forcing.
proc. roy. soc. lond. a.
437,
97-108 (1992).
on the dynamics of a rigid block, tethered at one corner, under harmonic
forcing.
proc. roy. soc. lond. a.
439,
35-45 (1992).
heteroclinic bifurcations in damped rigid block motion.
proc. roy. soc. lond. a
439,
155-162 (1992).
(with t. mullin and p. woodford)
rectilinear low-frequency shear of
homogeneously aligned nematic liquid crystals.
proc. roy. soc. lond. a.
441,
559-573 (1993).
slender rigid block motion.
asce j. eng. mech.
120,
11-24 (1994).
(with g.r. duursma and j. ockendon)
obstacle-induced voids in two-
dimensional gas fluidized beds.
chem. eng. sci.
49,
233-244 (1994).
rigid block dynamics confined between side-walls.
(invited paper)
phil. trans. roy. soc.
347,
411-419 (1994).
slender rigid block motion - closure.
asce j. eng. mech.
121,
584-585(1995).
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conference contributions
on the dynamics of rigid block motion under harmonic forcing.
proc. 3rd pan american congress of applied mechanics,
sao paulo, brazil, 4-8
jan. 1993, pp 57-60
rocking block dynamics. (invited contribution)
british applied mathematics colloquium,
strathclyde, 5-8 april 1993
nonlinear rocking block dynamics applied to earthquake engineering.
proc. 1st european nonlinear oscillations conference,
hamburg, 16-20 aug. 1993, p.54
(with r. i. lindsay)
subcritical director orientations in low frequency shear of
nematic liquid crystals.
british applied mathematics colloquium
sheffield, 5-8 april 1994
(with n. j. mottram)
director configurations and critical magnetic field
strengths in nematic liquid crystal layers with weakly nonlinear sinusoidal
boundaries.
british applied mathematics colloquium,
sheffield, 5-8 april 1994
(with r. gray)
a cellular automata model of tube bundle wear in heat exchangers.
nato asi scale invariance, interfaces and non-equilibrium dynamics, newton
institute, cambridge, 20-30 june 1994
mathematics in the real world. opening address of
2nd annual conference of national association for numeracy
and mathematics in colleges, rugby, 29 june 1994
mathematics, chaos and fractals in engineering design.
proc. british association annual festival of science,loughborough, 5-9 sept.
1994, p.40
dynamics of rigid blocks
proc. euromech 325 bifurcation and chaos
in solid and structural dynamics,
l'aquila, 19-22 sept. 1994, p.45.
(with r. i. lindsay)
director orientations in oscillatory shear of nematic
liquid crystal layers.
british liquid crystal society 10th annual conference, exeter, 29-31 mar. 1995,
p. 13.
(with n. j. mottram)
multiple solutions of the director configuration in a
nematic liquid crystal cell with weakly nonlinear sinusoidal boundaries.
british liquid crystal society 10th annual conference,
exeter, 29-31 mar. 1995, p. 14.
(with s. h. doole)
the nonlinear dynamics of suspension bridges under harmonic forcing.
3rd int. conf. on industrial & applied mathematics (iciam 95), hamburg, 3-7 jul.
1995
(with r. i. lindsay)
mean flow effects on oscillatory shear instabilities of
nematic liquid crystal layers.
58th lms durham symposium on mathematical models of liquid crystals & related
polymeric systems. 10-20 july 1995
(with n. j. mottram)
defects in nematic liquid crystal cells with non-planar
boundaries
58th lms durham symposium on mathematical models of liquid crystals & related
polymeric systems. 10-20 july 1995
(with c. williams, m. a. beach)
propagation channel considerations in chaotic
communication systems.
3rd experimental chaos conference, heriot-watt university, 21-23 aug. 1995
nonlinear mathematics in engineering and industry (mathematics section
presidential address).
proc. british association annual festival of science, newcastle, 11-15 sept.
1995, p.25
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preprints
qualitative effects of noise on nonsmooth systems. submitted to elsevier science, 2005.
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recent research grants
1991-92
medical research council grant to employ h. byrne to work on diffusion
of tracers in the brain. (19,000 pounds).
1991-92
british coal utilisation research association grant to employ g.r.
duursma to develop a mathematical theory for observed hydrodynamic and chemical
behaviour in gas-fluidized beds. (27,000 pounds).
1993-94
serc visiting fellowship for professor m. stiassnie (israel) to study
the fine structure of the ocean surface. (46,969 pounds). rated alpha 3, excellent.
1994-96
serc grant (with professor severn) to employ s. h. doole to study the
nonlinear dynamics of suspension bridges under harmonic forcing. (79,012 pounds).
1994-96
serc grant (with professor baldwin, dr. martin) to study mathematical
modelling and knowledge engineering for engineering design. (204,828 pounds).
1994
london mathematical society grant (with dr. budd) to put on a one-day
meeting in bristol on the mathematics of impact.
1994-95
avon health commission grant to study orthopaedic care system in their
area.
1995-96
dra (bedford) to study mathematical modelling of
air-combat. (40,000 pounds)
1995-96
benjamin meaker trustees grant to fund the visit of professor p. j.
mckenna (university of connecticut).
1996-99
epsrc grant (with dr. champneys) to study a dynamical systems approach
to modelling and countering
lateral vibrations in oil-well drillstrings (project
studentship).
1996-98
epsrc grant to employ n. mottram to study symmetry breaking ground
states in liquid crystal cells (58,907 pounds)
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Acceuil
suivante
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