14 citations · 48 across the 6 of their papers we have counts for
Showing 2008Show all
3 papers · 1 filter
nlin.CD2008★ 10 cited
Normal forms and uniform approximations for bridge orbit bifurcations
Ken-ichiro Arita, Matthias Brack
We discuss various bifurcation problems in which two isolated periodic orbits exchange periodic ``bridge'' orbit(s) between two successive bifurcations. We propose normal forms whi…
nlin.CD2008★ 6 cited
Analytic approach to bifurcation cascades in a class of generalized Hénon-Heiles potentials
S. N. Fedotkin, A. G. Magner, M. Brack
We derive stability traces of bifurcating orbits in Hénon-Heiles potentials near their saddles
math-ph2008★ 14 cited
Closed-Orbit Theory of Spatial Density Oscillations in Finite Fermion Systems
Jérôme Roccia, Matthias Brack
We investigate the particle and kinetic-energy densities for non-interacting fermions confined in a local potential. Using Gutzwiller's semi-classical Green function, we descri…