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nlin.CD2008★ 22 cited
On ergodic and mixing properties of the triangle map
Martin Horvat, Mirko Degli Esposti, Stefano Isola +2
In this paper we study in detail, both analytically and numerically, the dynamical properties of the triangle map, a piecewise parabolic automorphism of the two-dimensional torus,…
nlin.CD2005
One-Particle and Few-Particle Billiards
Steven Lansel, Mason A. Porter, Leonid A. Bunimovich
We study the dynamics of one-particle and few-particle billiard systems in containers of various shapes. In few-particle systems, the particles collide elastically both against the…