UK Nonlinear News, February 1997


EPSRC: Mathematics News

Encouragement of New Academics

EPSRC wishes to encourage new academics by (i) developing `fast stream' grant approvals, and (ii) by the award of `new appointee' CASE awards.

The fast stream approval process for small grants will provide grants of up to 50k pounds. To be eligible, applicants must have been appointed to their first university post (paid under general university funding) within the previous 24 months and be applying to the EPSRC as an individual principle investigator for the first time. If the grant proposal is commented on favourably by all three referees, then approval will be given to the grant without the proposal being considered by a peer review panel. Such proposal should be marked "Fast Stream" at the top of the proposal form and can be submitted at any time. In all other respects, normal eligibility guidelines apply. See Guide to Research Grants.

EPSRC wishes new academics to develop links with industry at an early stage in their careers and subject to availability of funds, it is proposed that they should be eligible for a "new appointee" CASE provided that they are in departments already in receipt of EPSRC studentships.

Source: EPSRC Mathematics News, 3, December 1996.

Postdoctoral Fellowships

EPSRC intend running a postdoctoral fellowship exercise. It is hoped to make between four and six awards to begin in October 1997. The aim of the scheme would be to ensure that some of the best PhD students are retained within academia and allow them to develop their own research rather than be appointed as named RAs on research grants.

Source: EPSRC Mathematics News, 3, December 1996.

Computational Partial Differential Equations (CPDEs)

The Applied Nonlinear Mathematics (ANM) programme cones to an end in June 1997. It is proposed to divert some of the resulting available funds to launch a new programme in CPDEs. CPDEs has been identified as an important emerging area of mathematics for research in the modelling of physical phenomena. CPDEs is the use of computational techniques to solve realistic modelling problems involving partial differential equations and requires the skill of numerical analysis, mathematical analysis and scientific modelling. A key feature of this programme will be its interdisciplinary nature.

Source: EPSRC Mathematics News, 3, December 1996.

Combustion Research Programme.

The following may be of interest to some mathematicians.

The EPSRC Combustion Research Programme is led jointly by the Mechanical and Process Engineering Groups, and involves other areas including the Clean Technology Unit. The Programme aims to stimulate research at UK Higher Education Institutions to address fundamental and generic combustion issues, leading to greater EFFICIENCY, lower EMISSIONS and greater CONTROL of combustion.

For the third call from the Programme FULL proposals are invited from the academic community focused in the FUNDAMENTAL aspects of combustion, including fire and explosions, that relate to practical applications. Applicants who may wish to submit proposals which do not fully address this call may apply through the responsive mode scheme. Similarly, following the closing date there will be an initial shift of the applications received: those thought not fully to address the thrust of the call will be processed in responsive mode.

Only full applications, including all relevant documentation in original form, received by 6.00pm on Friday 14 Match 1997 will be accepted. Applications received after this date will be returned.

For full guidance notes on this call for proposals please contact :
Hugh Thurbon, Combustion Research Programme Manager, EPSRC, Polaris House, North Star Avenue, Swindon, Wiltshire SN2 1ET
Fax: 01793 444187;
- or see the EPSRC web site

For technical enquiries please contact:
Dr Mike Davies, Programme Co-ordinator,
Telephone/Fax: +01729+825+550

Source: EPSRC Mathematics News, 3, December 1996.

Joint EPSRC/BBSRC Programme in Mathematical Biology

This new programme is jointly funded by the Mathematics Programme of EPSRC and the Physical Sciences Committee of BBSRC, with an earmarked budget of up to 1.8M pounds. The Programme is seeking to encourage collaborative and interdisciplinary research targeted at the modelling, simulation and prediction of biological systems. Although no areas of mathematics or statistics are excluded, applications are particularly sought in three broad mathematical themes:

Applications must also tackle real biological problems within the remit of the BBSRC.

For further information contact Venessa Johnson at EPSRC (Telephone: 01793 444162) or Amy Smirthwaite at BBSRC (Telephone: 01793 413390) .

For technical enquiries please contact:
Dr Mike Davies, Programme Co-ordinator,
Telephone/Fax: +01729+825+550

Source: EPSRC Mathematics News, 3, December 1996.

Homoclinic Bifurcation Package HomCont included in current AUTO release

The toolbox HomCont, developed by Alan Champneys, Yu. A. Kuznetsov and B. Sandstede[1] for numerical homoclinic bifurcation analysis, has been incorporated into the current version of AUTO94 (previously it was only available as a supplement to AUTO86).

HomCont allows the continuation of codimension-one homoclinic orbits to hyperbolic or non-hyperbolic equilibria, the detection and continuation of higher-order homoclinic singularities in more parameters, and to switch easily between different continuation problems. All known codimension-two cases that involve a unique homoclinic orbit are supported.

The current version of AUTO94 can be obtained by anonymous ftp from in the directory pub/doedel/auto.

Eusebius Doedel is currently working on the latest update of AUTO94, to be called AUTO97. Amongst other things this will included an expanded manual which will include the HomCont manual[2] (not included in the current version of Auto).

In the next issue of UK Nonlinear news we hope to run an article by Alan Champneys about the HomCont routines.

  1. Champneys, A.R., Kuznetsov, Yu.A. & Sandstede, B. "A numerical toolbox for homoclinic bifurcation analysis", Int. J. Bifurcation and Chaos 6, 867-887 (1996).
  2. Champneys, A.R., Doedel, E.J., Juznetsoc, Yuri A., & Sandstede, B. "HomCont Version 3.0: Routines for homoclinic bifurcation analysis in AUTO94"

Dates changed for the Fourth SIAM Conference on Dynamical Systems

Due to the overwhelming response to our call for minisymposia and contributed papers, an extra day (Sunday May 18) has been added to the conference. Thus the new dates are May 18-22, 1997. Please revise your travel plans accordingly. If you are organising a minisymposium, please inform all your speakers of the new dates.

We hope this change will not inconvenience you. The good news is that the extra day has allowed us to accept more of the contributed minisymposia and papers. Unfortunately we still do not have enough space to accept many of the fine contributions that have been submitted, but we will try to give as many people as possible a chance to present their work in some form. If you have not already heard from us, we will contact you soon to let you know whether your contribution has been accepted in the form you requested.

It should be a great conference -- we look forward to seeing you in Snowbird!

Mary Silber and Steve Strogatz. (December 6th 1996).

Announcement and call for papers: Nonlinear Wave Modulation in Optical and Other Systems

Edinburgh, 4-5 April 1997

Mathematical techniques for integrable and near-integrable evolution equations have been essential in both basic and applied nonlinear optics. A goal of the workshop will be to explore new ways that this mathematical theory can be used to advance state of the art optical transmission and processing devices. It is also hoped that interesting mathematical problems will be suggested in the context of these applications.

This workshop will provide an opportunity for researchers to exchange ideas and to describe new developments in applications of the modulation theory of nonlinear waves and of the theory of nonlinear pulse dynamics to optical and other electronic communications or data-handling systems. It will include both contributed talks and discussion sessions.

This meeting will be held immediately following the 1997 British Applied Mathematics Colloquium which includes a minisymposium on Nonlinear Optics and is being held at the University of Edinburgh from 1-4 April.

This meeting is being supported in part through contributions made by BRIMS, Hewlett-Packard Research Laboratories, Bristol.

If you need further information about the workshop please visit or contact:

Greg Luther
c/o Roz Rowe
BRIMS, Hewlett Packard Research Laboratories,
Filton Road,
Stoke Gifford,
Bristol BS12 6QZ, UK


If you would like to attend please return to the following form to: Gregory G. Luther at

If you would like us to reserve accommodation for you at Pollock Halls, please indicate this on the form below. Information regarding Pollock Halls and travel to Edinburgh can be found on:











Source: Gregory Luther (

6th Applied Nonlinear Mathematics Spring School

Loughborough University

14-18 April 1997

Full details, including the registration form, are available at the Spring School web page:

Main lecturers
James Yorke (Maryland USA) Chaotic Dynamics
Kurt Wiesenfeld (Georgia Tech USA) Coupled Nonlinear Systems

Other lecturers
Professor R S MacKay (Cambridge)
Professor Sir M V Berry (Bristol)
Professor D Broomhead (UMIST)
Professor P V E McClintock & Dr N Stein (Lancaster)
Dr G King (Warwick)
Dr P C Bressloff (Loughborough)
Professor M J Kearney (Loughborough)

There are a number of places on the course reserved for students supported by UK Research Council funding. These students may be eligible for full funding by EPSRC of their accommodation and subsistence costs whilst on the course. Travel costs should be met by the student's own institution.

A small number of bursaries are available for other postgraduate students, from funds made available by the London Mathematical Society. Individuals should apply for these by contacting the organisers directly.


Closing date for applications: 28 February 1997

Source: Andy Osbaldestin (

First Announcement: Second Annual Summer School on Nonlinear Dynamics in Biology and Medicine

Centre for Nonlinear Dynamics in Physiology and Medicine

Montreal, Quebec, Canada.

May 25 - June 6, 1997

This year the Centre for Nonlinear Dynamics in Physiology and Medicine is repeating, in a two-week format, the Summer School that they ran last year. The Summer School will provide an intensive introductory exposure to nonlinear dynamics and to time series analysis.

Last year's school attracted more than 60 participants from all over the world. The school was specifically designed to be oriented both to those whose primary interest is in the physical sciences/mathematics, and in biology/medicine. The participants ranged from senior-level undergraduates to full professors. Feedback from the participants was consistently extremely positive; the Summer School provided not only a high-level introduction to nonlinear dynamics, but an excellent opportunity to establish research contacts.

This year's school consists of two weeks of lectures and coordinated computer laboratories. The first week covers nonlinear dynamics starting at an introductory level and progressing to advanced topics such as delay-differential equations and stochastic resonance. The second week deals with time series analysis.

As well as introducing the mathematical techniques of nonlinear dynamics, there is a heavy emphasis on applications of the techniques to modeling and analysis of biological and medical phenomena.

More information can be obtained at or by contacting the organisers at

Montreal97 Summer School
Centre for Nonlinear Dynamics
McGill University
3655 Drummond St.
Montreal, Quebec H3G 1Y5
1-514-398-6452 (fax)
1-612-696-6599 (voice)

Sunday: Introduction to nonlinear dynamics.
Leon Glass and Michael Guevara.
Monday: Resetting and entrainment of biological oscillators.
Leon Glass.
Tuesday: Bifurcations in physiological systems.
Michael Guevara.
Wednesday: Introduction to the Dynamics of Spatially Distributed Systems.
Marc Courtemanche and Jacques Belair.
Thursday: Biological Systems with Delayed Feedback.
Michael Mackey.
Friday: Stochastic Processes in Physiology.
Andre Longtin and Jacques Belair.

Sunday: Introduction to Statistics.
Danny Kaplan.
Monday: Linear Dynamics and Linear Methods for Time Series Analysis.
Danny Kaplan.
Tuesday: Nonlinear dynamics methods (lag embedding, recurrence plots,
correlation dimension, etc.).
Danny Kaplan.
Wednesday: Linear and Nonlinear Prediction, Surrogate Data.
Danny Kaplan and Andre Longtin.
Thursday: Unstable Fixed Points and Chaos Control.
Danny Kaplan.
Nonlinear Dynamics and Forecasting of Neural Point Processes.
Andre Longtin.
Friday: Heart Rate Variability, Tremor Fractal and Power-Law Time Series Clinic.
Danny Kaplan, Anne Beuter, Marc Courtemanche and Rod Edwards.

Source: Danny Kaplan (

Announcement: Advanced School on Mathematical Models of Systems Involving Phase Changes

International Centre for Mathematical Sciences, Edinburgh, U.K

2nd - 20th June 1997


The Advanced School aims to give young researchers an overview of both current mathematical modelling of solid-liquid continua and related experimental results. The course will provide a coherent focus for the dynamical and thermodynamical principles underlying the diverse phenomena of mixed phase systems.


The School is intended for mathematicians, metallurgists, geophysicists and researchers in related areas at the post-doctoral level who work with dynamical mixed phase systems. Participants will be expected to take part in the whole three week programme. The number taking the Advanced School will be restricted to about twelve.


To apply for the Advanced School please complete the application form on the I.C.M.S. Web site and send it to the organiser by 28th February 1997.

The Scientific Committee will select participants based on the applications. The School and Workshop are free of charge but there will be a small Conference fee. A limited number of participants from Universities and Academies who are not supported by their Institutions may be offered travel and subsistence support.


R N Hills, Department of Mathematics, Heriot-Watt University, Riccarton, Edinburgh EH14 4AS, U.K.



The Advanced School is one element in a three week programme that will include an International Workshop, dealing with macroscopic manifestations of solid-liquid mixed phase systems, and a Conference on the "Dynamics of Mixed Phase Regions".


M E Glicksman RPI, New York
R N Hills Heriot-Watt, Edinburgh
H E Huppert Cambridge, England
C Jaupart IPG, Paris
D E Loper Florida State

Source:Margaret Cook.

ICDERS97 to fully integrate IWOMIC into the conference

The 16th International Colloquium on the Dynamics of Explosions and Reactive Systems (ICDERS) meeting to be held in Cracow, Poland, next year will, for the first time, include International Workshop on Mathematics in Combustion (IWOMIC) sessions fully integrated into the conference.

John Buckmaster ( and Bill Dold ( are helping to coordinate IWOMIC sessions within the ICDERS programme. Just as there will be sessions devoted to detonation physics, spray combustion, or whatever, there will also be sessions in which the common themes amongst the papers will be mathematical strategy and modelling, those tangibles and intangibles that have characterised IWOMIC meetings in the past, and made them so appealing to those who do theoretical work or have strong interests in theoretical work. We believe that this is an opportunity to increase the influence and presence of theoretical and modelling work in the study of combustion.

Holding IWOMIC meetings within ICDERS could become a standard feature of future ICDERS meetings if our community is happy with the idea, and if the folks who run ICDERS are likewise happy. Thus a decision to go or not to go to Cracow in 1997 could have long-term consequences as well as short-term ones, and we hope you will give some thought to the long-term advantages in making your decision.

Finally, while ICDERS papers are now normally published in the journals Shock Waves or Combustion Science and Technology this is not a requirement should you prefer to publish in Combustion Theory and Modelling, a journal that is intended to be close to the usual activities of participants in past IWOMIC conferences.

John and Bill hope to see you in Cracow next year.

Source: Professor Bill Dold.

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Last Updated: 4th May 1997.