UK Nonlinear News, February 2002

The Warwick Dynamics Group applies for support to hold a year-long symposium in dynamics

The Warwick Dynamics Group has applied to the EPSRC for support for a year-long symposium in dynamical systems to be held in 2002-2003, in the university of Warwick.

The backbone of the proposed symposium are four workshops with the following topics:

  1. Real and complex one-dimensional dynamics (week 2 in December 2002). Topics include:
  2. Holomorphic dynamics (weeks 3,4 in April 2003). Topics include:
  3. Symbolic dynamics and ergodic theory (weeks 2,3 in July 2003). Topics include:
  4. finite and countable Markov partitions
  5. adic transformations and adic representations
  6. interval exchange transformations
  7. existence of acim and ergodic properties of smooth dynamical systems
  8. applications in geometric measure theory, number theory, and hyperbolic geometry
  9. Geometric and probabilistic aspects of dynamical systems (week 4, July 2003) Topics include:

We intend to hold the following mini-courses:
a. Density of Axiom A for interval maps W. Shen
b. A crash course in complex analytic dynamics X. Buff.
c. Interpretations of Thurston rigidity A. Epstein.
d. Extremal quasi-conformal mappings V. Markovi\'c.
e. Postcritically finite-branched covers of the sphere K. Pilgrim
f. Transversally holomorphic foliations X. G\'omez-Mont
g. Structure of three-interval exchange transformations S. Ferenczi.
h. Adic-transformations A. Vershik.

Emails of the organizers:
Adam Epstein
Oleg Kozlovski
Omri Sarig
Sebastian van Strien
Peter Walters

Source Ormi Sarig (

Centre for Nonlinear Mathematics and Applications set up at Loughborough University

Loughborough University has recently established a Centre for Nonlinear Mathematics and its Applications, initially set-up within the Department of Mathematical Sciences with Professor Roger Grimshaw as Director.

The main aim of the Centre is to whose support and publicise those research areas which fall within the Centre's ambit. The Centre will cover four main themes, namely nonlinear waves, dynamical systems, integrable systems and nonlinear ordinary and partial differential equations, with applications primarily in fluid dynamics, mathematical biology and mathematical physics.

An inaugural meeting to mark the establishment of the Centre will be held at Loughborough on Feb 8th 2002, with four invited speakers, Thanasis Fokas (Cambridge), Franco Vivaldi ((Queen Mary), John Hogan (Bristol) and John Toland (Bath). It is planned to have a series of similar one- or two-day meetings throughout each year, reflecting the main themes of the Centre. Other activities will include a comprehensive seminar program, and in the near future, the Centre will establish a visitor program.

For further information, follow links from the web-site: 

Source: Roger Grimshaw (

Visitors to the Lancaster nonlinear group

Dr Igor Khovanov, Saratov State University, is coming as an EPSRC Visiting Fellow and will be in Lancaster from March to August 2002. He is an expert on chaos and fluctuational dynamics, and is collaborating with the Lancaster group on problems related to large fluctuations and escape from chaotic attractors.

Professor Aneta Stefanovska, University of Ljubljana, is coming as an EPSRC Visiting Fellow and will be in Lancaster from February to April 2002. She is an expert on the nonlinear dynamics of human blood-flow, and is collaborating with the Lancaster group in relation to studies of synchronization and modulation in the cardiovascular system, modelled as a set of coupled nonlinear oscillators. The collaboration also involves Dr Peter Clarkson of the Royal Lancaster Infirmary in joint studies of how the oscillator couplings change in congestive cardiac failure.

Source: Peter McClintock (

MSc in Astrodynamics, University of Surrey

In 2002-03 the School of Engineering, Computing and Mathematics at the University of Surrey will offer a new MSc course in "Astrodynamics" (subject to validation). The main aim of the programme will be to provide training in the development and application of mathematical methods for spacecraft dynamics, control and mission design.

The course will be taught by members of the Surrey Mathematics Research Group, one of the UK's leading centres for dynamical systems and geometric mechanics, and the Surrey Space Centre, the leading world centre for research on small satellites. The team's expertise ranges from practical spacecraft and mission design through to the development of mathematical theories and models which may provide novel solutions to engineering problems.

The course will suit graduates with good mathematics, physics, engineering or similar degrees with a high mathematical content. It will be particularly appropriate for students who wish to pursue academic or more applied careers in space mission design, but will also provide an excellent training for similar careers across a broad range of related fields in mathematics and engineering.

Scholarships will be available for outstanding UK applicants.

For further information visit: or contact: 

Mrs Gwen Potter
Department of Mathematics and Statistics
University of Surrey
Guildford, GU2 7XH, UK

Source: Mark Roberts (

MATLAB Package for Bifurcation Analysis of DDEs

We would like to announce the availability of DDE-BIFTOOL v. 2.00. DDE-BIFTOOL is a Matlab package for the bifurcation analysis of delay differential equations. It supports continuation and stability analysis of steady states and periodic orbits.

The second version now also supports the computation of connecting orbits (both homoclinic and heteroclinic solutions) and the analysis of state-dependent delay equations, where the delay is a function of the state.

More information about how to obtain the package, and an extended manual, can be found on

Source: Koen Engelborghs (

Creating Health in a Capricious World: the role of chaos and complexity

Toronto cardiologist, Dr VS Rambihar will deliver a lecture on "Creating Health in a Capricious World: the role of chaos and complexity" at the Caribbean Cardiac Society Conference in Port of Spain, Trinidad, in July 2002. This will introduce ideas from his books "Chaos 2000: Making a New Medicine for a New Millennium" and "A New Chaos Based Medicine beyond 2000: the response to evidence."

He has been promoting the concept that much of the ideas that now emerge in the increasing discussion and literature on going beyond evidence or beyond evidence based medicine are derivable from chaos and complexity theory, and that this subject should be explored in medicine and health. He has also used these ideas in discussing the complex dynamic interactions of genes and the environment in producing health and disease, proposing that this novel approach may be useful in creating change.

He will mention this in a talk at a cardiology conference in Martinique in February 2002, using the imagery of fractals to describe the complex dynamic interactions of culture, customs, genes and the environment in leading to high rates of heart disease in the South Asian diaspora. The imagery of fractals will also be invoked to describe the time and space pattern of heart disease in this diaspora and the implications for creating change, ideas discussed in a 1996 book "South Asian Heart: Preventing Heart Disease: from the heart to the edge of the diaspora, from the heart to the edge of chaos,' now available updated for 2002.

Source: VS Rambihar (

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Last Updated: 5 February 2002.