100 citations · 448 across the 24 of their papers we have counts for
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nlin.CD2019★ 8 cited
Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach
Brandon M. Behring, Roy H. Goodman
We investigate the stability of a one-parameter family of periodic solutions of the four-vortex problem known as `leapfrogging' orbits. These solutions, which consist of two pairs…
nlin.CD2015★ 17 cited
A Mechanical Analog of the Two-bounce Resonance of Solitary Waves: Modeling and Experiment
Roy H. Goodman, Aminur Rahman, Michael Bellanich +1
We describe a simple mechanical system, a ball rolling along a specially-designed landscape, that mimics the dynamics of a well known phenomenon, the two-bounce resonance of solita…
nlin.CD2011★ 20 cited
Hamiltonian Hopf bifurcations and chaos of NLS/GP standing-wave modes
Roy H. Goodman
We examine the dynamics of solutions to nonlinear Schrodinger/Gross-Pitaevskii equations that arise due to Hamiltonian Hopf (HH) bifurcations--the collision of pairs of eigenvalues…