7 citations · 12 across the 2 of their papers we have counts for
2 papers
math.DS2017★ 7 cited
The dynamics of digits: Calculating pi with Galperin's billiards
X. M. Aretxabaleta, M. Gonchenko, N. L. Harshman +3
In Galperin billiards, two balls colliding with a hard wall form an analog calculator for the digits of the number . This classical, one-dimensional three-body system (counting…
math.DS2014★ 5 cited
Mixed dynamics of 2-dimensional reversible maps with a symmetric couple of quadratic homoclinic tangencies
A. Delshams, M. S. Gonchenko, S. V. Gonchenko +1
We study dynamics and bifurcations of 2-dimensional reversible maps having a symmetric saddle fixed point with an asymmetric pair of nontransversal homoclinic orbits (a symmetric n…