Fullscreen

Print

Lyapunov analysis, from theory to geophysical applications

26-30 October 2009
Institute of Complex Systems, Rue Lhomond 57-59, 75005, Paris France

Lyapunov exponents and vectors provide a powerful theoretical and practical framework for the analysis of the instabilities that can develop in a dynamical system. This Thematic Institute, to take place at the Institute of Complex Systems, Paris on October 26th-30th aims at bringing together scientists active in applied mathematics and/or geophysics, finding the crossing point between state-of-the-art Lyapunov analysis theory and the current challenges faced by geophysics. Special emphasis will be put on recent theoretical results on Lyapunov vector analysis, turbulent transport, and data assimilation.
 
The Institute will be organized around introductory perspective lectures (3-4 hours each) given by leading experts, covering both the theoretical and application aspects. These lectures will be complemented by shorter seminars presented by the participants and by plenary and informal discussions. Participants are not required to have experience in both theory and geophysical applications of Lyapunov exponent analysis, although at least some general knowledge in one of the two fields is expected.

Scientific committee

H. Chaté (CEA), F. d'Ovidio (ISC-PIF), F. Ginelli (ISC-PIF)

Keynote speakers

Michael Ghil (ENS, Paris, France)
Bernard Legras (ENS, Paris, France)
Gary P. Morriss (University of New South Wales Sydney, Australia)

Registration

Please send an email to francesco.dovidio (at) iscpif.fr or francesco.ginelli (at) iscpif.fr with your name and affiliation. If you want to present a short talk, please also add a title and abstract. There is no registration fee. Lunches and coffee breaks will be offered. Participants are expected to cover their travel and hotel expenses. The registration deadline is 4 October 2009.

Homepage

www.iscpif.fr/LTG09


Programme 

Keynote lectures are in the morning. The first part of the afternoon (between lunch and 16.00) is devoted to discussions in either plenary sessions or parallel working groups. Between 16.00 and 18.00 there will be the additional contributions from the participants. This meeting will also be the occasion for celebrating the 65th birthday of Michael Ghil.

Monday

9h00 Welcome

9h30 Opening remarks by H. Chaté

9h45 A. Pikovsky - An introduction to Lyapunov analysis

10h45 Coffee break

11h15 A. Trevisan and O. Talagrand - On the existence of an optimal subspace dimension for 4DVar

12h15 Thematic discussions preparation

12h30 Lunch

14h30 F. Ginelli - Characterizing dynamics with covariant Lyapunov vectors

15h30 G. Lapeyre - Nonlinear singular vectors and atmospheric predictability

16h15 Coffee break

16h30 F. d'Ovidio - Lyapunov analysis for ocean front detection

17h00 P. Cvitanovic - Geometry of turbulence in wall-bounded shear flows: a stroll through 61,506 dimensions
Tuesday

9h30 M. Ghil - Data assimilation and predictability in climate models I

11h00 Coffee break

11h30 B. Legras - Transport and Mixing I

12h30 Lunch

14h00 Private discussions/Thematic workgroups

16h00 E. Hernandez-Garcia - Stretching structures from finite-size Lyapunov exponents: their impact across all biological scales

17h00 Coffee break

17h15 V. Lucarini - Parametric smoothness and self-scaling of the statistical properties of a minimal climate model

17h45 J. Verron and O. Titaud - On the assimilation of submesoscale observations into ocean models
Wednesday

9h30 M. Ghil - Data assimilation and predictability in climate models II
11h00 Coffee break

11h30 B. Legras - Transport and Mixing II

12h30 Lunch

14h00 Private discussions/Thematic workgroups

16h00 J. Keller - Estimating uncertainty in a numerical weather prediction model using the 'breeding of growing modes' technique

16h45 Coffee break

17h00 A. Carrassi - Accounting for model error in Data Assimilation

17h30  E. Shuckburgh - Particle dispersion and effective diffusivity

18h00 J. B. Sallee - Observed Lagrangian dispersion of surface drifters in the Southern ocean

18h30 Wine & cheese party, celebrating the 65th birthday of Michael Ghil


Thursday

9h30 G. Morriss - Lyapunov modes for hard particles systems I

11h00 Coffee break

11h30 J.Kurchan - Studying unusually regular or unusually chaotic trajectories

12h30 Lunch

14h00 Private discussions/Thematic workgroups

16h00 M. Cencini - A brief review on the finite-size Lyapunov exponent

17h00 Coffee break

17h15 G. Radons - Lyapunov modes in extended dynamical systems

18h00 K.A. Takeuchi - Lyapunov analysis captures the collective dynamics of large chaotic systems

Friday

9h30 G. Morriss - Lyapunov modes for hard particles systems II

11h00 Coffee Break

11h30 H. Posch and H. Bosetti - Covariant Lyapunov Vectors for Smooth Hard-Disk Systems

12h30 Closing remarks

12h45 Lunch

Contributors to this page: Francesco Ginelli , webmaster and Francesco d'Ovidio .
Page last modified on Tuesday 10 November, 2009 15:12:08 by Francesco Ginelli.

13 files attached