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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 4 included publications by Edward Hellen :

TitleDateViewsBrief Description
The Approach to Stability for Delayed Feedback Control of Chaos for 1-dimensional Maps 2008 255 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...
Modeling Excitable Systems 2008 354 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 14 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...
Nonlinear Damping of the LC Circuit using Anti-parallel Diodes 2007 522 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...