36 citations · 243 across the 29 of their papers we have counts for
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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