Edward Hellen
Office: Petty 318
Education
B.S., University of Wisconsin
Ph.D., University of Michigan
About Dr. Hellen
Dr. Hellen is interested in Nonlinear Dynamics and emergent behavior, most recently using numerical and electrical models to study collective modes and multi-stability in coupled synthetic genetic ring oscillators. For numerical simulations he formerly used Fortran, then MathCad, then Matlab, but now mostly uses Python and XPPAUT on both Windows and Linux, and AUTO-07p on Linux.
Selected Publications
EH Hellen (2025). Bifurcation analysis of the driven FitzHugh–Nagumo oscillator: Prediction and experiment. Chaos: An Interdisciplinary Journal of Nonlinear Science 35 (12)
EH Hellen (2024). RLC resonator with diode nonlinearity: Bifurcation comparison of numerical predictions and circuit measurements. Chaos: An Interdisciplinary Journal of Nonlinear Science 34 (7)
E Volkov, EH Hellen (2021). The effect of characteristic times on collective modes of two quorum sensing coupled identical ring oscillators. Chaos, Solitons & Fractals 151, 111176
EH Hellen, E Volkov (2020). Emergence of multistability and strongly asymmetric collective modes in two quorum sensing coupled identical ring oscillators. Chaos: An Interdisciplinary Journal of Nonlinear Science 30 (12)
EH Hellen, E Volkov (2018). How to couple identical ring oscillators to get quasiperiodicity, extended chaos, multistability, and the loss of symmetry. Communications in Nonlinear Science and Numerical Simulation 62, 462-479
EH Hellen, E Volkov (2017). Flexible dynamics of two quorum-sensing coupled repressilators. Physical Review E 95 (2), 022408
EH Hellen, J Kurths, SK Dana (2017). Electronic circuit analog of synthetic genetic networks: Revisited. European Physical Journal Special Topics 226 (9), 1811-1828