42 citations · 112 across the 10 of their papers we have counts for
10 papers
Bifurcation Analysis of the Driven FitzHugh-Nagumo Oscillator: Prediction and Experiment
Edward H. Hellen
Bifurcation analysis is applied to the FitzHugh-Nagumo oscillator driven by a sinusoidal source. A numerically generated 2d regime map showing the variety of oscillatory dynamics i…
RLC resonator with diode nonlinearity: Bifurcation comparison of numerical predictions and circuit measurements
Edward H. Hellen
A nonlinear RLC resonator is investigated experimentally and numerically using bifurcation analysis. The nonlinearity is due to the parallel combination of a semiconductor rectifie…
Emergence of multistability and strongly asymmetric collective modes in two quorum sensing coupled identical ring oscillators
Edward H. Hellen, Evgeny Volkov
The simplest ring oscillator is made from three strongly nonlinear elements repressing each other unidirectionally resulting in the emergence of a limit cycle. A popular implementa…
How to couple identical ring oscillators to get Quasiperiodicity, extended Chaos, Multistability and the loss of Symmetry
Edward H. Hellen, Evgeny Volkov
We study the dynamical regimes demonstrated by a pair of identical 3-element ring oscillators (reduced version of synthetic 3-gene genetic Repressilator) coupled using the design o…
Flexible Dynamics of Two Quorum Sensing Coupled Repressilators
Edward H. Hellen, Evgeny Volkov
Genetic oscillators play important roles in cell life regulation. The regulatory efficiency usually depends strongly on the emergence of stable collective dynamic modes, which requ…
Electronic Circuit Analog of Synthetic Genetic Networks: Revisited
Edward H. Hellen, Syamal K. Dana
Electronic circuits are useful tools for studying potential dynamical behaviors of synthetic genetic networks. The circuit models are complementary to numerical simulations of the…