On the periodic orbits of a dynamical system originated from a problem of Riemannian Geometry
Monday, 19. June 2006, 17:00 - 18:00
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Contact Hector Giacomini (Université de Tours)

Abstract

We study the system x″=(1-2x2-8y2)x, y″=(4-2x2-8y2)y.
We prove that this system has a unique periodic orbit satisfying certain conditions. This result enables to determine the greatest least eigenvalue of the Laplacian on the Klein Bottle.
Location Centre de Recerca Matemàtica