34 citations · 51 across the 3 of their papers we have counts for
4 papers
Multiplicity of periodic solutions in bistable equations
Gregory Berkolaiko, Michael Grinfeld
We study the number of periodic solutions in two first order non-autonomous differential equations both of which have been used to describe, among other things, the mean magnetizat…
Form factor for large quantum graphs: evaluating orbits with time-reversal
G. Berkolaiko
It has been shown that for a certain special type of quantum graphs the random-matrix form factor can be recovered to at least third order in the scaled time τusing periodic-orbit…
Form factor for a family of quantum graphs: An expansion to third order
Gregory Berkolaiko, Holger Schanz, Robert S. Whitney
For certain types of quantum graphs we show that the random-matrix form factor can be recovered to at least third order in the scaled time from periodic-orbit theory. We consid…
The Leading Off-Diagonal Correction to the Form Factor of Large Graphs
Gregory Berkolaiko, Holger Schanz, Robert S. Whitney
Using periodic-orbit theory beyond the diagonal approximation we investigate the form factor, , of a generic quantum graph with mixing classical dynamics and time-reversal sy…