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Workshop “Semi-classical Long-time Evolution, PART II"

Location: WPI seminar room C 714, Nordbergstrasse 15 Mon, 8. Jan (Opening: 10:00) - Fri, 19. Jan 07
Topics:
TUTORIALS
Thierry PAUL (ENS Paris & WPI) : "From quantum to classical with coherent states with emphasis on long time propagation, part II"
Rafael DE LA LLAVE (U.Texas) : "Invariant manifolds and long time behavior of dynamical systems, part II"
Alain CHENCINER (IMCCE Paris) : "Symmetries and the classical N-body problem" (TBC)
Carles SIMO (MaiA, U. de Barcelona) : "Properties of Low Dimensional Dynamical Systems in the Large"
Tere M-SEARA (U. Polit. Catal. de Barcelona) : "Resurgence and exponentially small phenomena"
Jan 08-12 2007

WORKSHOP
"Long-time phenomena evolution and shocks: from quantum mechanics to PDEs through dynamical systems"
Jan 15-19 2007
Organisation(s)
WPI and
"Institut CNRS Pauli" 		Organiser(s)
Thierry Paul (ENS Paris & WPI)
Rafael De la Llave (U.Texas)
Norbert J. Mauser (WPI c/o U.Wien)

Talks in the framework of this event


WPI Mon, 8. Jan 07, 14:00
Opening
  • Event: Workshop “Semi-classical Long-time Evolution, PART II" (2007)

Simo, Carles (Univ. de Barcelona, Spain) WPI Seminar Room C714 Mon, 8. Jan 07, 14:15
Properties of Low Dimensional Dynamical Systems in the Large. Lecture 1 (1h30).
The objective of these lectures is to introduce to the study of systems having a moderate number of dimensions and/or parameters. The main goal is the study in large parts of the phase space times the parameter space. First several simple paradigmatic models will be presented and analyzed by means of analytic and numerical tools. Then details about the tools will be given concerning: a) Long-term simulations of discrete systems and numerical integration of differential equations. b) Dynamical indicators such as Lyapunov exponents, rotation numbers, Frequency Analysis. c) Computation, continuation with respect to parameters, detection and analysis of bifurcations for fixed points, periodic solutions, invariant curves, invariant tori. d) Same items for invariant manifolds of normally hyperbolic objects. Computation of homoclinic and heteroclinic orbits. Dynamical consequences and applications. e) Towards global study of the dynamics: Codimension 1 manifolds. Sketch of some computer assisted rigorous proofs.
  • Event: Workshop “Semi-classical Long-time Evolution, PART II" (2007)

M-Seara, Tere (Univ. Polit. Catal. de Barcelona, Spain) WPI Seminar Room C714 Mon, 8. Jan 07, 16:00
Resurgence and exponentially small phenomena, Lecture 1 (1h30).
  • Event: Workshop “Semi-classical Long-time Evolution, PART II" (2007)

De la Llave, Rafael (Univ.Texas, USA) WPI Seminar Room C714 Tue, 9. Jan 07, 9:30
Invariant manifolds and long time behavior of dynamical systems, Part II. Lecture 1 (1h30).
  • Event: Workshop “Semi-classical Long-time Evolution, PART II" (2007)

Paul, Thierry (ENS Paris, France & WPI, Vienna, Austria) WPI Seminar Room C714 Tue, 9. Jan 07, 11:30
From quantum to classical with coherent states with emphasis on long time propagation, Part II. Lecture 1 (1h30).
  • Event: Workshop “Semi-classical Long-time Evolution, PART II" (2007)

Opening Mon, 15. Jan 07, 11:00
WORKSHOP "Long-time phenomena evolution and shocks: from quantum mechanics to PDEs through dynamical systems"
  • Event: Workshop “Semi-classical Long-time Evolution, PART II" (2007)

Graffi, Sandro (Bologna Univ., Italy) WPI Seminar-Room C714 Mon, 15. Jan 07, 11:30
11:30 - 12:30 o'clock
  • Event: Workshop “Semi-classical Long-time Evolution, PART II" (2007)

Seara, Tere-M (Univ. Politècnica, Catalunya, Barcelona, Spain) WPI Seminar-Room C714 Mon, 15. Jan 07, 14:00
14:00 - 15:00 o'clock
  • Event: Workshop “Semi-classical Long-time Evolution, PART II" (2007)

De Gosson, Maurice (Univ. of Vienna, Austria) WPI Seminar-Room C714 Mon, 15. Jan 07, 15:30
15:30 - 16:30 o'clock
  • Event: Workshop “Semi-classical Long-time Evolution, PART II" (2007)

Villegas, Carlos (UNAM, Mexico) WPI Seminar-Room C714 Tue, 16. Jan 07, 10:00
10:00 - 11:00 o'clock
  • Event: Workshop “Semi-classical Long-time Evolution, PART II" (2007)

Szmolyan, Peter (TU-Vienna, Austria) WPI Seminar-Room C714 Tue, 16. Jan 07, 11:30
11:30 - 12:30 o'clock
  • Event: Workshop “Semi-classical Long-time Evolution, PART II" (2007)

Delshams, Amadeu (Univ. Pol., Barcelona) Tue, 16. Jan 07, 14:00
14:00 - 15:00 o'clock
  • Event: Workshop “Semi-classical Long-time Evolution, PART II" (2007)

Carles, Remi (Institut CNRS Pauli) WPI Seminar-Room C714 Wed, 17. Jan 07, 10:00
10:00 - 11:00 o'clock
  • Event: Workshop “Semi-classical Long-time Evolution, PART II" (2007)

Uribe, Alejandro (Univ. of Michigan, USA) WPI Seminar-Room C714 Wed, 17. Jan 07, 11:30
11:30 - 12:30 o'clock
  • Event: Workshop “Semi-classical Long-time Evolution, PART II" (2007)

De la Llave, Rafael (Univ Texas, Austin) WPI Seminar-Room C714 Wed, 17. Jan 07, 14:00
14:00 - 15:00 o'clock
  • Event: Workshop “Semi-classical Long-time Evolution, PART II" (2007)

Paul, Thierry (CNRS, ENS, Paris) WPI Seminar-Room C714 Wed, 17. Jan 07, 15:30
15:30 - 16:30 o'clock
  • Event: Workshop “Semi-classical Long-time Evolution, PART II" (2007)

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