Dynamics of Patterns Days

After a number of inspiring interdisciplinary workshops on "Nonlinear Dynamics" and "Dynamics of Patterns" (DoP) within the Netherlands, we want to establish a Dutch discussion forum for current issues in nonlinear dynamics and pattern formation. The format are 3 to 4 (half-)day seminars per year, the

DoP-Days

for an audience of physicists, mathematicians and other interested disciplines. The first meeting is planned for

Feb. 8, 2006, in the Trippenhuis (KNAW-building)

in walking distance from Amsterdam Centraal Station. Directions.

Program

13:00 Welcome

13:30 - 14:45 Wim van Saarloos (Univ. Leiden) and Arjen Doelman (CWI Amsterdam), The Ginzburg-Landau amplitude equation: an introduction from a physics and mathematics perspective.

15:10 - 15:55 Carles Simo (Univ. Barcelona and guest Univ. Groningen), Choreographies of the N-body problem. The case of 3 bodies.

16:15 - 17:00 Bela Mulder (AMOLF Amsterdam), Push Ahead!: Modeling tip growth in cells.

17:00 - 17:10 Discussion about the format of future meetings: young speakers, subjects, tutorials?

17:10 Drinks, possibility for joint dinner in the neighborhood.

For further information, please contact:
Ute Ebert, CWI Amsterdam, tel: 020-5924206, ebert@cwi.nl or
Geertje Hek, UvA, tel: 020-5255209, G.M.Hek@uva.nl.

Abstract for Carles Simo

A "choreography" for an N-body problem is a periodic solution in which all N equal masses trace the same curve with the same phase shift.

The first 3-body choreography for the Newtonian potential, after Lagrange's equilateral solution, was proved to exist by Chenciner and Montgomery in December 1999. Since then many other choreographies have been found.

The figure eight solution has extremely remarkable properties. The key property is stability. Another question we can address is how exceptional is the figure eight solution. Are there other choreographies of the 3-body problem letting aside the Lagrange and figure eight solutions? We shall answer this question, comment on other choreographies and propose theoretical and applied questions. In a more general setting, the general approach from the dynamical systems point of view to a variety of problems, shall be displayed.