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math.DS2011★ 11 cited
Structure and evolution of strange attractors in non-elastic triangular billiards
Aubin Arroyo, Roberto Markarian, David P. Sanders
We study pinball billiard dynamics in an equilateral triangular table. In such dynamics, collisions with the walls are non-elastic: the outgoing angle with the normal vector to the…
math.DS2009★ 19 cited
Bifurcations of periodic and chaotic attractors in pinball billiards with focusing boundaries
Aubin Arroyo, Roberto Markarian, David P. Sanders
We study the dynamics of billiard models with a modified collision rule: the outgoing angle from a collision is a uniform contraction, by a factor lambda, of the incident angle. Th…