Entrance hall of the ICMS Workshop

Dynamical systems and classical mechanics: a conference in celebration of Vladimir Arnold 1937 - 2010

Oct 03, 2011 - Oct 07, 2011

ICMS, 15 South College Street, Edinburgh, EH8 9AA

Organisers

Name Institution
Eliasson, Hakan Université de Paris VII (Denis Diderot)
Kuksin, Sergei Université Paris
Toland, John University of Bath

This conference on classical and modern aspects of dynamical systems theory, with applications to classical mechanics including hydrodynamics and celestial mechanics is dedicated to the memory of V.I. Arnold in recognition of his outstanding personal contributions, and those of his school, to this field.

The subject of dynamical systems is a major area of mathematics, with important connections to analysis, to geometry, and to a broad variety of applications. Its origins lie in the theory of classical mechanics, a topic which has provided scientific c motivation and a consistent source of problems of physical importance, as well as mathematical elegance and good taste. In the past half century, dynamical systems techniques, and in particular those from the theory of Hamiltonian systems, have made important contributions to fluid dynamics, to nonlinear optics, to nonlinear elasticity, and to numerous other fields of the physical sciences and engineering.

The conference will focus on current research areas that have been fundamentally influenced by the insights of V.I. Arnold including : the impact of KAM theory on celestial mechanics, differential geometry and PDEs; Arnold's vision of fluid dynamics and its influence both on theoretical of hydrodynamics and on its physical applications; the geometrical setting of classical mechanics that was part of the Russian scientific tradition so successfully communicated in Arnold's scientific writings and in his highly influential books.

To this end, the conference aims to reunite the many mathematical topics that have their origins in Arnold's work, to exhibit their depth, the breadth of their influence, and the fundamental unity of their mathematical perspective. The goal is to build bridges between these topics, which are currently represented as distinct research domains, emphasizing the unity of their foundations.

This conference is supported by CMLS, CNRS, IMJ, and the Maxwell Institute.

 

Scientific Committee Invited Speakers

Alain Chenciner (Paris)

Andrei Agrachev (Trieste and Moscow)

Walter Craig (Hamilton)

Artur Avila (Paris)

Boris Khesin (Toronto)

Massimiliano Berti (Naples)

John Mather (Princeton)

Yann Brenier (Nice)

Anatoly Neishtadt (Loughborough and Moscow)

Marc Chaperon (Paris)

Yakov Sinai (Princeton)

Chong-Qing Cheng (Nanjing)

Jean-Christophe Yoccoz (Paris)

James Colliander (Toronto)

Eduard Zehnder (Zurich)

Rafael de la Llave (Austin)

 

Bassam Fayad (Paris)

 

Jacques Fejoz (Paris)

 

Vadim Kaloshin (College Park)

 

John Mather (Princeton)

 

Anatoly Neishtadt (Loughborough and Moscow)

 

Sergei Petrovich Novikov (Maryland and Moscow)

 

Mikhail Sevryuk (Moscow)

 

Alexander Shnirelman (Montreal)

 

Laurent Stolovitch (Nice)

 

Dmitry Treschev (Moscow)

 

Claude Viterbo (Paris)

 

Lai-Sang Young (New York)

 

Anton Zorich (Rennes)

Arrangements

PARTICIPATION
Attendance at this conference is by registration only.  Your name will appear on the workshop website once you have been accepted to attend. There is a registration fee of £30 for all participants.

If you are an invited speaker you have been emailed a separate invitation and registration form.  Please DO NOT fill in the public application form on this page.

For all other participants please use this Application Form.

During the conference there will be a poster session. You are free to participate in it. Please indicate on the application form if you intend to present a poster.

On the afternoon of Wednesday 5 October there will be a number of parallel sessions of short talks. If you wish to give such a talk you need an approval of a member of the Scientific Committee or of one of the organisers. To be considered please send the title of the talk, a short abstract (up to 200 words) and a name of the approving person to Professor Anatoly Neishtadt (A.Neishtadt@lboro.ac.uk) as soon as possible.

VENUE
The workshop will take place at ICMS 15 South College Street Edinburgh EH8 9AA. The ICMS travel pages contain advice on how to travel to Edinburgh and how to find ICMS.  You may also find this map useful for the workshop.  All lectures will be held in the Newhaven Lecture Theatre.  To view this room and a list of the visual equipment available click here.  In addition, two blackboards have recently been installed.  The projector and one board may be used simultaneously.   

ACCOMMODATION
Invited Speakers - ICMS has booked hotel accommodation for all invited speakers who have requested this.

Early Career Researchers who have received funding for accommodation will be staying at Kenneth McKenzie. Kenneth Mckenzie is a five-minute walk from ICMS.  Please click here for a map of the location.

Others must arrange and pay for their own accommodation.  A list of suggested hotels and B&Bs is available on the ICMS website.

FINANCIAL MATTERS
There will be a registration fee of £30 which must be paid by everyone except the invited speakers.

Support is available to provide free accommodation for approximately twenty early career researchers (primarily UK-based PhD students). Priority will be given to those presenting their work as talks or posters. If you wish to be considered for the funding please indicate this on the registration form. If you receive it, accommodation will be booked for you, so if you have requested our support, please do not book your own accommodation.

Please note: Our limited funds mean that we will not be able to cover any travel costs.

TRAVEL
Information about travel to the UK and Edinburgh is available here.

Please note that it is your responsibility to have adequate travel insurance to cover medical and other emergencies (volcanic ash disruptions) that may occur on your trip.

A taxi directly from the airport will cost approximately 15.00 to 20.00 GBP to the city centre for a one-way journey.     There is also a bus service direct from the airport to the city centre which will cost 3.50 single or 6.00 GBP return - the Airlink 100.  This is a frequent service (every 10 minutes during peak times) and will bring you close to Waverley Railway Station, only a short walk to the accommodation and the workshop venue (see map in 'Venue' section above). 

Lothian buses charge £1.30 for a single, £3.20 for a day ticket. Please note that the exact fare is required and no change is given.

If travelling by train, please note that Edinburgh has two railway stations - Waverley Railway Station being the main station and closest to the workshop venue at 15 South College Street. If you alight at Edinburgh Waverley, the workshop venue is an easy 10 minute walk over North and South Bridge. The second railway station is called Haymarket and is at the West End of the city centre.

 

Programme

To view the poster for Vladimir Salnikov please click here.

To view the presentation for Dmitry Ryzhov please click here

To view the presentation for Gabriella Pinzari please click here.  

To view the presentation for Dmitry Tonkonog please click here.

 Monday 03 October

09.30 - 10.30

Registration and coffee

10.30 - 11.30

Alexander Shnirelman, Concordia University
Some problems of the fluid mechanics   PDF of Presentation 

11.30 - 12.30

John Mather, Princeton University
Near a double resonance

12.30 - 14.00

Lunch served in the Chapterhouse

14.00 - 15.00

Massimiliano Berti, University of Naples Federico II
Quasi periodic solutions of Hamiltonian PDEs   pdf of presentation

15.00 - 15.30

Coffee and tea served in the Chapterhouse

15.30 - 16.30

Andrei Agrachev, SISSA Trieste
The long-time behaviour of dissipative systems

16.30 - 17.30

Walter Craig, McMaster University
The water wave problem as a Hamiltonian system  pdf ofPresentation

17.30 - 18.30

Wine Reception


Tuesday 04 October

09.30 - 10.30

Yann Brenier, University of Nice
Volume preserving maps and minimizing geodesics   pdf of Presentation 

10.30 - 11.00

Coffee and tea served in the Chapterhouse

11.00 - 12.00

Rafael de la Llave, Georgia Institute of Technology
New geometric mechanisms for instability in Hamiltonian systems   pdf of Presentation

12.00 - 14.00

Lunch

14.00 - 15.00

Vadim Kaloshin, University of Maryland
Hausdorff dimension of oscillatory motions for three body problems

15.00 - 15.30

Coffee and tea served in the Chapterhouse

15.30 - 16.30

Marc Chaperon, Université Paris 7
Generalised Hopf bifurcations   pdf of Presentation

16.30 - 17.30

Anton Zorich, University of Rennes
Lyapunov exponents of the Hodge bundle


Wednesday 05 October

09.30 - 10.30

Jacques Fejoz, Université Paris- Dauphine & Observatoire de Paris
Diffusion along mean motion resonance in the restricted three-body problem

10.30 - 11.00

Coffee and tea served in the Chapterhouse

11.00 - 12.00

Boris Khesin, University of Toronto
Optimal transport and geodesics on diffeomorphism groups   pdf of presentation

12.00 - 13.00

Bassam Fayad, IMJ CNRS
Smooth linearization of commuting circle diffeomorphisms

13.00 - 14.00

Lunch

14.00 - 17.00

Parallel sessions of short talks

17.30 - 19.30

Cheese and Wine with talks on Arnold


Thursday 06 October

09.30 - 10.30

Chong-Qing Cheng, Nanjing University
tba

10.30 - 11.00

Coffee and tea served in the Chapterhouse

11.00 - 12.00

James Ellis Colliander, University of Toronto
Hamiltonian PDEs   pdf of Presentation

12.00 - 14.00

Lunch

14.00 - 15.00

Artur Avila, IMJ, CNRS
tba

15.00 - 15.30

Coffee and tea served in the Chapterhouse

15.30 - 16.30

Mikhail Sevryuk, Russia Academy of Sciences
The reversible context 2 in KAM theory for lower dimensional tori   pdf of Presentation

16.30 - 17.30

Lai-Sang Young, New York University
Toward a smooth ergodic theory for infinite dimensional systems

19.00

Conference Dinner at Howie's, Waterloo Place


Friday 06 October

09.30 - 10.30

Laurent Stolovitch, CNRS, Université de Nice
Smooth Gevrey normal forms of vector fields near a fixed point

10.30 - 11.00

Coffee and tea served in the Chapterhouse

11.00 - 12.00

Claude Viterbo, Ecole Normale Supérieure
tba

12.00 - 13.00

Anatoly Neishtadt, Loughborough University
Averaging, passages through resonances, and captures into resonance in dynamics of charged particles  pdf of presentation  

13.00

Conference closes

 

Presentations:

Presentation Details
Agrachev, Andrei
The long-time behavior of dissipative systems
View Abstract Down
Berti, Massimiliano
Quasi-periodic solutions of Hamiltonian PDEs
View Abstract Down
Brenier0, Yann
Volume preserving maps and minimizing geodesics
View Abstract Down
Chaperon, Marc
Generalised Hopf bifurcations
View Abstract Down
Colliander, James Ellis
Hamiltonian PDEs
View Abstract Down
Craig, Walter
The water wave problem as a Hamiltonian system
View Abstract Down
de la Llave, Rafael
New geometric mechanisms for instability in Hamiltonian systems
View Abstract Down
Féjoz, Jacques
Diffusion along mean motion resonance in the restricted three-body problem
View Abstract Down
Khesin, Boris
Optimal transport and geodesics on diffeomorphism groups
View Abstract Down
Mather, John
Near a double resonance
View Abstract Down
Neishtadt, Anatoly
Averaging, passages through resonances, and captures into resonance in dynamics of charged particles
View Abstract Down
Sevryuk, Mikhail
The reversible context 2 in KAM theory for lower dimensional tori
View Abstract Down
Shnirelman, Alexander
Some problems of the fluid mechanics
View Abstract Down
Stolovitch, Laurent
Smooth Gevrey normal forms of vector fields near a fixed point
View Abstract Down
Young, Lai-Sang
Toward a smooth ergodic theory for infinite dimensional systems
View Abstract Down
Zorich, Anton
Lyapunov exponents of the Hodge bundle
View Abstract Down

Participants

Name Institution
Agrachev, Andrei SISSA Trieste
Avila, Artur IMJ, CNRS, France
Basak Gancheva, Inna Polytechnic University of Catalunya
Berti, Massimiliano University of Naples Federico II
Brenier, Yann Ecole Polytechnique
Candy, Timothy University of Edinburgh
Chaperon, Marc Université Paris 7
Chenciner, Alain IMCCE Paris Observatory & University Paris VII
Cheng, Chong-Qing Nanjing University
Chenyang, Wu Imperial College London
Colliander, James Ellis Pacific Institute for the Mathematical Sciences
Craig, Walter McMaster University
de la Llave, Rafael Georgia Institute of Technology
Eliasson, Hakan Université de Paris VII (Denis Diderot)
Fayad, Bassam IMJ CNRS
Féjoz, Jacques Université Paris- Dauphine & Observatoire de Paris
Ferrario, Davide L. University of Milano-Bicocca
Garay, Mauricio Max Planck Institute
Ito, Hidekazu Kanazawa University
Kaloshin, Vadim University of Maryland
Khesin, Boris University of Toronto
Knops, Robin Heriot-Watt University
Kuksin, Sergei Université Paris
Lenagan, Tom University of Edinburgh
Lerario, Antonio Sissa - Trieste
Mather, John Princeton University
Montalto, Riccardo SISSA
Neishtadt, Anatoly Loughborough University
Ostrovski, Georg University of Warwick
Pinzari, Gabriella Università Roma Tre
Ryzhov, Dmitry Saint-Petersburg State University
Salnikov, Vladimir Université Claude Bernard Lyon 1 / Russian Academy of Sciences
Sevryuk, Mikhail Russia Academy of Sciences
Shnirelman, Alexander Concordia University
Stolovitch, Laurent CNRS, Université de Nice
Tonkonog, Dmitry Moscow State University & Independent University of Moscow
Viterbo, Claude Ecole Normale Supérieure
Vytnova, Polina University of Warwick
Xia, Wenjun The University of Edinburgh
Young, Lai-Sang New York University
Zhou, Min Nanjing University
Zorich, Anton University of Rennes