44 citations · 156 across the 33 of their papers we have counts for
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math.PR2021★ 1 cited
The number of limit cycles bifurcating from a randomly perturbed center
Manjunath Krishnapur, Erik Lundberg, Oanh Nguyen
We consider the average number of limit cycles that bifurcate from a randomly perturbed linear center where the perturbation consists of random (bivariate) polynomials with indepen…
math-ph2021★ 2 cited
On the Number of Equilibria Balancing Newtonian Point Masses with a Central Force
Nickolas Arustamyan, Christopher Cox, Erik Lundberg +2
We consider the critical points (equilibria) of a planar potential generated by Newtonian point masses augmented with a quadratic term (such as arises from a centrifugal effect…