PFD
1 August 2005 to 23 December 2005
Pattern formation occurs in a wide variety of natural contexts, from animal coat markings to convection cells in the Sun. Experimentally, patterns have been studied in many different systems, including Rayleigh-Bénard convection, solidification, chemical reactions and Faraday waves. Despite the physical differences between these systems, the patterns that appear display common features, indicating some kind of universal underlying structure. There are currently many different mathematical approaches to the study of patterns, including numerical simulation, amplitude equations and equivariant bifurcation theory, and this programme will bring together mathematicians and experimentalists for an interchange and fusion of ideas. This synthesis of techniques will be needed to tackle current problems in the theoretical foundation of the subject, and to explain recent experimental results. A short instructional course aimed at younger researchers will introduce the central topics and current approaches.
In small domains, simple regular patterns are observed, and these can be understood through the application of methods from symmetric bifurcation theory. But as the domain size increases, the range of validity of this approach shrinks to zero and so other methods are required. Similar difficulties are encountered in large networks of coupled oscillators. Patterns in one space dimension can, generically, be described by the Ginzburg-Landau equation, but this has not been rigorously generalised to two dimensions, because of the problem of orientational degeneracy. There are therefore many fascinating aspects of two-dimensional patterns that are currently not well understood. Specifically, the programme will address the following topics.
Click here to download the programme's final scientific report
Title | Year | Programme | |
---|---|---|---|
Localised convection cells in the presence of a vertical magnetic fieldAuthors: Jonathan Dawes |
2005 | PFD | 21 October 2016 |
Rayleigh-Benard convection in the presence of a radial ramp of the Rayleigh numberAuthors: N Mukolobwiez, J Oh, ET Al, KMS Bajaj |
2005 | PFD | 21 October 2016 |
Invariants, equivariants and characters in symmetric bifurcation theoryAuthors: Ana Dias, PC Matthews, F Antoneli |
2005 | PFD | 21 October 2016 |
Charge transport scalings in turbulent electroconvectionAuthors: ZA Daya, Stephen Morris, Peichun Tsai |
2005 | PFD | 21 October 2016 |
Codimension-two points in annular electroconvection as a function of aspect ratioAuthors: ZA Daya, Stephen Morris, VB Deyirmenjian |
2005 | PFD | 21 October 2016 |
The role of initial conditions in the decay of spatially periodic patterns in a nematic liquid crystalAuthors: N Eber, ET Al, Werner Pesch, L Kramer |
2005 | PFD | 21 October 2016 |
Localized states in the generalized Swift-Hohenberg equationAuthors: E Knobloch, J Burke |
2005 | PFD | 21 October 2016 |
1 August 2005 to 5 August 2005
8 August 2005 to 12 August 2005
19 September 2005 to 23 September 2005
26 September 2005 to 30 September 2005
31 October 2005 to 1 November 2005
11 December 2005 to 11 December 2005
12 December 2005 to 16 December 2005
Tuesday 16th August 2005 | |||
---|---|---|---|
10:00 to 11:00 |
Michael Tribelsky |
Room 1 |
Thursday 18th August 2005 | |||
---|---|---|---|
10:00 to 11:00 |
Karen Daniels North Carolina State University |
Room 1 |
Tuesday 23rd August 2005 | |||
---|---|---|---|
10:00 to 11:00 |
Ralf Wittenberg Simon Fraser University |
Room 2 | |
14:00 to 15:00 |
Ian Stewart University of Warwick |
Room 2 |
Thursday 25th August 2005 | |||
---|---|---|---|
10:00 to 11:00 |
Mark Paul |
Room 2 |
Tuesday 30th August 2005 | |||
---|---|---|---|
10:00 to 11:00 | Room 1 |
Thursday 1st September 2005 | |||
---|---|---|---|
10:00 to 11:00 |
Bjorn Sandstede University of Surrey |
Room 1 |
Tuesday 6th September 2005 | |||
---|---|---|---|
10:00 to 11:00 |
Stephen Morris University of Toronto |
Room 1 |
Thursday 8th September 2005 | |||
---|---|---|---|
10:00 to 11:00 | Room 1 |
Tuesday 13th September 2005 | |||
---|---|---|---|
10:00 to 11:00 | Room 1 |
Thursday 15th September 2005 | |||
---|---|---|---|
10:00 to 11:00 |
Reiner Lauterbach |
Room 1 |
Thursday 6th October 2005 | |||
---|---|---|---|
10:00 to 11:00 |
Claire Postlethwaite Aalborg Universitet |
Room 1 |
Tuesday 11th October 2005 | |||
---|---|---|---|
10:00 to 11:00 |
Elaine Crooks University of Oxford |
Room 1 |
Thursday 13th October 2005 | |||
---|---|---|---|
10:00 to 11:00 |
Sergey Zelik Universität Stuttgart |
Room 1 |
Tuesday 18th October 2005 | |||
---|---|---|---|
14:00 to 15:00 |
Arjen Doelman |
Room 1 |
Thursday 20th October 2005 | |||
---|---|---|---|
10:00 to 11:00 | Room 1 |
Tuesday 25th October 2005 | |||
---|---|---|---|
10:00 to 11:00 | Room 1 |
Thursday 27th October 2005 | |||
---|---|---|---|
10:00 to 11:00 |
Kostyantyn Blyuss University of Exeter |
Room 1 |
Friday 28th October 2005 | |||
---|---|---|---|
14:00 to 15:00 |
Jens Rademacher |
Room 1 |
Thursday 3rd November 2005 | |||
---|---|---|---|
10:00 to 11:00 |
Alastair Rucklidge University of Leeds |
Room 1 |
Tuesday 8th November 2005 | |||
---|---|---|---|
10:00 to 11:00 |
David Lloyd University of Surrey |
Room 1 |
Thursday 10th November 2005 | |||
---|---|---|---|
10:00 to 11:00 |
A new perspective on resonance in Hopf bifurcation from relative equilibria |
Room 1 |
Tuesday 15th November 2005 | |||
---|---|---|---|
10:00 to 11:00 |
Ana Dias Universidade do Porto |
Room 1 |
Thursday 17th November 2005 | |||
---|---|---|---|
10:00 to 11:00 | Room 1 |
Tuesday 22nd November 2005 | |||
---|---|---|---|
10:00 to 11:00 |
Alan Champneys University of Bristol |
Room 1 |
Wednesday 23rd November 2005 | |||
---|---|---|---|
11:00 to 14:00 | Discussion Room |
Tuesday 29th November 2005 | |||
---|---|---|---|
10:00 to 11:00 |
Elena Beatriz Martín Universidad de Vigo |
Room 1 |
Thursday 1st December 2005 | |||
---|---|---|---|
10:00 to 11:00 | Room 1 |
Tuesday 6th December 2005 | |||
---|---|---|---|
10:00 to 11:00 |
Serafim Kalliadasis |
Room 1 |
Subscribe for the latest updates on events and news
Isaac Newton Institute for Mathematical Sciences, 20 Clarkson Road, Cambridge CB3 0EH United Kingdom
Tel: +44 1223 335999 Email: reception@newton.ac.uk
© 2023 Isaac Newton Institute for Mathematical Sciences. All Rights Reserved. Privacy Policy
INI is a creative collaborative space which is occupied by up to fifty-five mathematical scientists at any one time (and many more when there is a workshop). Some of them may not have met before and others may not realise the relevance of other research to their own work.
INI is especially important as a forum where early-career researchers meet senior colleagues and form networks that last a lifetime.
Here you can learn about all activities past, present and future, watch live seminars and submit your own proposals for research programmes.
Within this section of the website you should find all the information required to arrange and plan your visit to the Institute. If you have any further questions, or are unable to find the information you require, please get in touch with the relevant staff member or our Reception team via our contact pages.
INI and its programme participants produce a range of publications to communicate information about activities and events, publish research outcomes, and document case studies which are written for a non-technical audience. You will find access to them all in this section.
The Isaac Newton Institute aims to maximise the benefit of its scientific programmes to the UK mathematical science community in a variety of ways.
Whether spreading research opportunities through its network of correspondents, offering summer schools to early career researchers, or hosting public-facing lectures through events such as the Cambridge Festival, there is always a great deal of activity to catch up on.
Find out about all of these endeavours in this section of the site.
There are various ways to keep up-to-date with current events and happenings at the Isaac Newton Institute. As detailed via the menu links within this section, our output covers social media streams, news articles, a regular podcast series, an online newsletter, and more detailed documents produced throughout the year.
“A world famous place for research in the mathematical sciences with a reputation for efficient management and a warm welcome for visitors”
The Isaac Newton Institute is a national and international visitor research institute. It runs research programmes on selected themes in mathematics and the mathematical sciences with applications over a wide range of science and technology. It attracts leading mathematical scientists from the UK and overseas to interact in research over an extended period.
INI has a vital national role, building on many strengths that already exist in UK universities, aiming to generate a new vitality through stimulating and nurturing research throughout the country.During each scientific programme new collaborations are made and ideas and expertise are exchanged and catalysed through lectures, seminars and informal interaction, which the INI building has been designed specifically to encourage.
For INI’s knowledge exchange arm, please see the Newton Gateway to Mathematics.
The Institute depends upon donations, as well as research grants, to support the world class research undertaken by participants in its programmes.
Fundraising activities are supported by a Development Board comprising leading figures in academia, industry and commerce.
Visit this section to learn more about how you could play a part in supporting INI’s groundbreaking research.
In this section you can find contact information, staff lists, maps and details of how to find INI’s main building in Cambridge.
Our administrative staff can help you with any queries regarding a prospective or planned visit. If you would like to discuss a proposed a research programme or other event, our senior management team will be happy to help.