Ben joined the Gettysburg College faculty in Fall 2007 after completing his Ph.D at Rutgers University. His primary research interests are in dynamical systems, especially differential equations with time delays. In his free time Ben enjoys playing jazz piano.
Periodic, nonperiodic, and chaotic solutions for a class of difference equations with negative feedback, Opuscula Mathematica43 (2023), pp. 507-546.
Welcome to Real Analysis: Continuity and Calculus, Distance and Dynamics,AMS/MAA Textbooks Volume 70, MAA Press 2022.
A periodic solution with non-simple oscillation for an equation with state-dependent delay and strictly monotonic negative feedback, Discrete and Continuous Dynamical Systems-S 13 (1) (2020), 47-66.
(With Y. Mao and E. L. Wendt) A state-dependent delay equation with chaotic solutions, Electronic Journal of Qualitative Theory of Differential Equations (2019), No. 22, 1-20. doi: 10.14232/ejqtde.2019.1.22.
(With Y. Mao and E. Wendt) Corrigendum to "A state-dependent delay equation with chaotic solutions", Electronic Journal of Qualitative Theory of Differential Equations (2019), No. 64, 1-1, doi:10.14232/ejqtde.2019.1.64
The Poincaré-Bendixson Theorem For a Class of Delay Equations with State-Dependent Delay and Monotonic Feedback Journal of Differential Equations 266 (2019), 1865-1898. doi: 10.1016/j.jde.2018.08.012.
Finding Periodic Solutions Without Finding Eigenvalues, Elemente Der Mathematik 73 (2018), 1-14.
(With Eugen Stumpf) Multiple Slowly Oscillating Periodic Solutions for x’(t) = f(x(t-1)) With Negative Feedback, Annales Polinici Mathematici 118 (2016), 113-140.
Stable rapidly oscillating periodic solutions for an equation with state-dependent delay, Journal of Dynamics and Differential Equations 28 (2016), 1145-1161.
Symmetric periodic solutions for a class of differential delay equations with distributed delay, Electronic Journal of Qualitative Theory of Differential Equations, No 4 (2014), 1-18. doi.org/10.14232/ejqtde.2014.1.4
A state-dependent delay equation with negative feedback and 'mildly unstable' rapidly oscillating periodic solutions, Discrete and Continuous Dynamical Systems Series B, Special Issue on Deterministic and Stochastic Dynamical Systems with Delays (2013), 1633-1650.
Stability and instability for periodic solutions of delay equations with `steplike’ feedback, Electronic Journal of Qualitative Theory of Differential Equations, Proceedings on the 9th Colloquium on the Qualitative Theory of Differential Equations, No. 8, 1—66 (2012). https://www.emis.de/journals/EJQTDE/p1099.pdf
Multiple periodic solutions for state-dependent threshold delay equations, Discrete and Continuous Dynamical Systems A 32 (2012), 1801-1833.
Multiple periodic solutions of an equation with state-dependent delay, Journal of Dynamics and Differential Equations 23 (2011), 283-313.
(With Aaron Hoffman) Existence and uniqueness of traveling waves in a class of unidirectional lattice differential equations, Discrete and Continuous Dynamical Systems A 30 (2011), 137-167.
Periodic Solutions of Delay Equations with Several Fixed Delays, Differential and Integral Equations 22 (2009), 679-724.
(With Marc Scott) Pitfalls in pathways: some perspectives on competing risks event history analysis in education research, Journal of Educational and Behavioral Statistics 30 (2005), 414-432