Applied Nonlinear Dynamics
| Nonlinear dynamics and
its applications at
Leeds has for many years enjoyed reputation for a
distinctive interdisciplinary approach. The Centre
for Nonlinear Studies was established at
Leeds in 1984 to enhance existing and foster new research
collaborations between mathematicians, scientists and engineers
throughout the university and beyond. Twenty five years later, the
research group retains its character as an applications driven centre,
and has recently expanded. The interests of the group range from core
areas, such as chaos, global bifurcation theory and the role of
symmetry, coupled oscillators and synchronisation, ergodic theory and
stochastic dynamics, and pattern formation in fluid mechanics and
reaction-diffusion systems, through to important areas of application,
such as flame propagation, microfluidics, theoretical immunology and
angiogenesis. The Applied Nonlinear Dynamics group publishes the
quarterly online newsletter UK Nonlinear News,
and organizes
weekly LAND
(Leeds Applied Nonlinear Dynamics) seminars. |
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The Applied Nonlinear Dynamics
Group is hosting a UK
Dynamical Systems Graduate School on the subject of Bifurcation,
Symmetry and Pattern Formation from 7-11 April, 2008 at the School
of Mathematics, University of Leeds.
The research
interests of the group are wide-ranging, but can be divided into two
broad categories:
Core Nonlinear Dynamics
Nonlinear dynamics is a fast-changing subject, and theory has
to be developed quickly to keep up with progress in applications.
Many different aspects of the fundamentals of nonlinear dynamics are
advanced at Leeds. Areas under current investigation include pattern
formation and quasipatterns, the role of
symmetry in dynamical systems, the ergodic
theory of mixing, stochastic
differential equations, global
bifurcation theory and synchronisation.
Applications of Nonlinear Dynamics
In this large group, developments in the basic theory and
techniques of Nonlinear Dynamics go hand-in-hand with investigations of
particular applications. The AND group is particularly strong in the
application
area of chemical reaction-diffusion problems and flame propagation, and
in
mathematical
biology: particularly gene regulation, theoretical immunology and
viral dynamics, and angiogenesis, tumour invasion and morphogenesis. |
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