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Edward Hellen

Interests: Interesting dynamics (aka nonlinear dynamics), chaotic systems, control of chaos, excitable systems, nonlinear damping of the LC circuit using anti-parallel diodes, logarithmic decay, Padé-Laplace and signal averaging, and tennis with wooden rackets.

There are 7 included publications by Edward Hellen :

TitleDateViewsBrief Description
The Approach to Stability for Delayed Feedback Control of Chaos for 1-dimensional Maps 2008 314 We investigate mathematically and experimentally the approach to stability using the Pyragas delayed proportional feedback control method applied to a chaotic finite difference 1-dimensional map. This method does not use unstable fixed points or req...
An Electronic Analog of Synthetic Genetic Networks 2011 32 An electronic analog of a synthetic genetic network known as the repressilator is proposed. The repressilator is a synthetic biological clock consisting of a cyclic inhibitory network of three negative regulatory genes which produces oscillations in ...
Electronic Implementation of a Repressilator with Quorum Sensing Feedback. 2013 16 We investigate the dynamics of a synthetic genetic repressilator with quorum sensing feedback. In a basic genetic ring oscillator network in which three genes inhibit each other in unidirectional manner, an additional quorum sensing feedback loop sti...
Modeling Excitable Systems 2008 439 Excitable media are an important type of nonlinear dynamical system. We present mathematical and electronic models of excitable systems relevant to cardiac and neural systems. These models can serve as building blocks for a variety of investigations ...
Modeling excitable systems: Reentrant Tachycardia. 2010 172 INTRODUCTION Many physics majors are unaware of the important role that physicists play in medical research. Typical coursework for a physics major is removed from real-world applications, especially compared to what they perceive for their premedi...
Noise-Aided Logic in an Electronic Analog of Synthetic Genetic Networks. 2013 51 We report the experimental verification of noise-enhanced logic behaviour in an electronic analog of a synthetic genetic network, composed of two repressors and two constitutive promoters. We observe good agreement between circuit measurements and ...
Nonlinear Damping of the LC Circuit using Anti-parallel Diodes 2007 849 We investigate a simple variation of the series RLC circuit in which anti-parallel diodes replace the resistor. This results in a damped harmonic oscillator with a nonlinear damping term that is maximal at zero current and decreases with an inverse c...