UK Nonlinear News, February 1997

Academic News

Stephen Smale Awarded National Medal of Science

In June 1996 recipients of the National Medal of Science, the highest honour in science and technology awarded in the United States, were announced. Amongst the eight recipients was STEPHEN SMALE.

Although Stephen Smale has worked in many areas, including differential topology, nonlinear analysis, economic theory, computation and mechanics, it is work in dynamical systems that will be best known to readers of UK Nonlinear News.

Smale's work on the structure stability of vector fields lead in 1960 to the construction of the horseshoe map[1,3] and his early study of chaotic phenomena. In 1966 Smale showed that structural stability was not dense[2] and in 1967 published a landmark survey article on hyperbolic systems[3] which outlined a number of outstanding problems, stimulating much of the work which followed in the next 20 years. Subsequently he has applied dynamical systems ideas to various physical processes, including the n-body problem and electric circuit theory[4], and to economics.

[1] Smale, S. Diffeomorphisms with many periodic orbits, in S. Carins, ed., `Differential and Combinatorial Topology', Princeton University Press, Princeton, New Jersey, pp 63-80, 1963.
[2] Smale, S. Structurally stable systems are not dense. Amer. J. Math, 88, 491-496, 1966.
[3] Smale, S. Differentiable Dynamical Systems. Bull. Amer. Math. Soc. 73, 747-817, 1967.
[4] Smale, S. On the mathematical foundations of electrical circuit theory. J. Differential Geom. 7, 193-210, 1972.

Chair in Nonlinear Mathematics for Allan Fordy

Allan Fordy was appointed to a Personal Chair in Nonlinear Mathematics, at the University of Leeds, with effect from August 1st 1996. He joined the University in 1983 as a `New Blood Lecturer' and was promoted to Reader in Applied Mathematics in 1991. His main research interests are in soliton theory and completely integrable Hamiltonian systems. He is a member of the Editorial Board of Physics Letters A, a member of the EPSRC Mathematics College and Director of Leeds' Centre for Nonlinear Studies.

Source: University of Leeds Reporter, Number 394, 6th December 1996.

New research group: Dynamics of Symmetric Systems

We have formed a joint research group of researchers from the following universities with the aims of examining theory and applications of the nonlinear dynamics of symmetric systems:

We have had one workshop at the University of Southampton this January and plan two further short workshops at the University of Surrey this summer; provisionally in June and Sept 1997.

The intention of this group is to promote UK research in the dynamics of nonlinear symmetric systems. If you would like more details, see the website at

and/or email to be included on the (e)mailing list. (Supported by a London Mathematical Society scheme 3 grant).

Source: Peter Ashwin

Symmetry and Bifurcation Meeting

A 2-day meeting on SYMMETRY AND BIFURCATION was held at the Department of Mathematics at the University of Southampton on Thursday 9th and Friday 10th January 1997. The speakers were:

Tom Bridges (Surrey) Bifurcation of quasiperiodic patterns
Jacques Furter (Brunel) Path formulation and symmetry-breaking bifurcation problems
Reiner Lauterbach (Berlin) Heteroclinic sets, stability and applications
Mark Roberts (Warwick) Bifurcations of relative equilibria of molecules
Alastair Rucklidge (DAMTP, Cambridge) Instabilities of periodic orbits and spatio-temporal symmetries

The meeting was supported by the London Mathematical Society and the Mathematics Faculty Research Fund at the University of Southampton. It formed part of a programme on DYNAMICS OF SYMMETRIC SYSTEMS supported by the LMS Scheme 3. Further meetings in this programme are planned at the University of Surrey in June (Hamiltonian Symmetry) and September (Symmetric Chaos). For information about the LMS Programme and the Surrey meetings contact: Peter Ashwin ( and see the website

This report provided by David Chillingworth (

Keith Briggs moves to Cambridge

Keith Briggs, formerly of the University of Western Australia, has joined the Department of Plant Sciences, University of Cambridge and is working on estimation of parameters in nonlinear models of ecological processes. He is interested in meeting other researchers in applied nonlinear modelling and can be contacted for the time being at

Source: Keith Briggs (

Dr. Cees Diks appointed to postdoc at the University of Kent

Dr. Cees Diks has been appointed to a post-doctoral research assistantship with funding from an EPSRC funded research project entitled "Multi-input-output stochastic dynamical systems" (award holders: Professor Howell Tong and Dr. Qiwei Yao, University of Kent). He will be with the Kent Time Series Group for 2 years starting 1st January 1997.

Source: Professor Howell TONG (

Professor Cindy Greenwood visits University of Kent (February-May 1997)

Professor Cindy Greenwood of the University of British Columbia, Vancouver, will be visiting Professor Howell Tong at the University of Kent at Canterbury from 25th January 1997 for about 4 months with support from an EPSRC Senior Visiting Fellowship. Professor Greenwood's main research interests are probability theory, stochastic differential equations and filtering.

Source: Professor Howell TONG (

Professor Lucien Le Cam to be awarded an honorary degree by the Institut de Statistique of the Université Libre de Bruxelles (February 1997)

Université Libre de Bruxelles: Institut de Statistique

The Institut de Statistique proudly announces that Professor Lucien Le Cam of the University of California at Berkeley, will be awarded a honorary degree by the Institut de Statistique of the Université Libre de Bruxelles. The official ceremony will be held at the auditoire Paul-Emile Janson on Tuesday, February 18, at 5:00 p.m.

On this occasion, Professor Le Cam will present a lecture on the theme

L'Approximation dans les spaces fonctionnels et le Risque en Theorie de l'Estimation
on Monday, February 17 at 4:00 p.m., at the Salle Solvay, Batiment NO, 5th floor, Campus de la Plaine. An informal coffee party will precede the lecture.

Everybody is welcome!

Source: Marc Hallin (

David Ruelle visits Cambridge and London

David Ruelle will be visiting Cambridge and London at the end of February. His talks are scheduled as follows.

Cambridge: Monday, Feb. 24th, 5pm, Newton Inst.
New theoretical ideas in non-equilibrium statistical mechanics
London: Tuesday, Feb. 25th, 4pm, Queen Mary and Westfield College, Maths Dept.
Smooth dependence of SRB states on parameters and applications to non-equilibrium statistical mechanics

Source: Christian Beck (

Professor N.N. Nekhoroshev to visit Loughborough University

Professor N.N. Nekhoroshev, of the Faculty of Mechanics and Mechanics at Lomonosov Moscow State University, is expected to visit Loughborough University for several weeks in the next Spring. This will be his first visit to the UK.

Professor Nekhoroshev is presently working on several aspects of Nonlinear Dynamics in finite-dimensional and infinite-dimensional systems. In particular, beside continuing his investigations on long-time stability, he is studying complete and partial integrability in non-Hamiltonian systems, as well as discrete chain equations.

Anyone interested in contacting Professor Nekhoroshev, and maybe inviting him to visit other institutions, should contact Giuseppe Gaeta .

Source: Giuseppe Gaeta (

SIAM Student Paper Prizes

The annual SIAM Student Paper Prizes will be awarded during the 1997 SIAM Annual Meeting.

If you are a student or know of a student who would like to take part in the competition, here are the details:

The authors of the three best papers in applied and computational mathematics written by students and submitted to SIAM will be invited to attend the 1997 annual meeting in Stanford, California, July 14-18. Each winner must present his/her paper at the meeting and will receive a $750 cash award as well as gratis registration for the meeting. Winners will be awarded calligraphed certificates at a special prize ceremony at the meeting. Papers must be singly authored and not previously published or submitted for publication to be eligible for consideration. To qualify, authors must be students in good standing who have not received their PhDs at the time of submission.

In submitting their work for publication, authors are asked to consider SIAM journals. However, student paper prize winners are not guaranteed publication in any SIAM journal; all papers submitted to SIAM journals are subject to the same refereeing process and standards.

Submissions must be received by SIAM on or before March 15, 1997.

Submissions, which must be in English, can be sent by regular mail or fax. Each submission must include (1) an extended abstract not longer than 5 pages (including bibliography); (2) the complete paper, which will be used solely for clarification of any questions; (3) a statement by the student's faculty advisor that the paper has been prepared by the author indicated and that the author is a student in good standing; (4) a letter by the student's faculty advisor describing and evaluating the paper's contribution; and (5) a short biography of the student.

Submissions will be judged on originality, significance, and quality of exposition.

The winners will be notified by June 1, 1997.

If you have any questions, please contact A. Bogardo at SIAM, 3600 University City Science Center, Philadelphia, PA 19104-2688; telephone: (215) 382-9800; e-mail to; fax to (215) 386-7999.

Source:Dynamics Notes Volume 1996: Number 005

SIAM Student Travel Awards

During 1997, SIAM will make several awards for $300 to support student travel to SIAM conferences and meetings. The awards are made from the SIAM Student Travel Fund, created in 1991 and maintained through book royalties donated by generous SIAM authors. Any full time student in good standing is eligible to receive an award. Each application must be accompanied by a letter from the student's advisor or department chair stating that the student is a fulltime student in good standing. Top priority will be given to students presenting papers at the conference. The recipients of travel awards will be selected by a committee appointed by the SIAM President.

To be considered for a travel award, send your application and letter from your advisor by fax to 215-386-7999 attention Allison Bogardo at the SIAM office.

Source:Dynamics Notes Volume 1996: Number 005

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