36 citations · 243 across the 29 of their papers we have counts for
Showing 2007Show all
2 papers · 1 filter
nlin.CD2007★ 7 cited
Anomalous shell effect in the transition from a circular to a triangular billiard
Ken-ichiro Arita, Matthias Brack
We apply periodic orbit theory to a two-dimensional non-integrable billiard system whose boundary is varied smoothly from a circular to an equilateral triangular shape. Although th…
nlin.CD2007★ 11 cited
Transcritical bifurcations in non-integrable Hamiltonian systems
Matthias Brack, Kaori Tanaka
We report on transcritical bifurcations of periodic orbits in non-integrable two-dimensional Hamiltonian systems. We discuss their existence criteria and some of their properties u…