299 citations · 696 across the 9 of their papers we have counts for
9 papers
Dynamics of a time-delayed relay system
Lucas Illing, Pierce Ryan, Andreas Amann
We study the dynamics of a piecewise-linear second-order delay differential equation that is representative of feedback systems with relays (switches) that actuate after a fixed de…
Experiments with a Malkus-Lorenz water wheel: Chaos and Synchronization
Lucas Illing, Rachel F. Fordyce, Alison M. Saunders +1
We describe a simple experimental implementation of the Malkus-Lorenz water wheel. We demonstrate that both chaotic and periodic behavior is found as wheel parameters are changed i…
Broadband chaos generated by an opto-electronic oscillator
Kristine E. Callan, Lucas Illing, Zheng Gao +2
We study an opto-electronic time-delay oscillator that displays high-speed chaotic behavior with a flat, broad power spectrum. The chaotic state coexists with a linearly-stable fix…
All-Optical Switching with Transverse Optical Patterns
Andrew M. C. Dawes, Lucas Illing, Joel A. Greenberg +1
We demonstrate an all-optical switch that operates at ultra-low-light levels and exhibits several features necessary for use in optical switching networks. An input switching beam,…
Hopf bifurcations in time-delay systems with band-limited feedback
Lucas Illing, Daniel J. Gauthier
We investigate the steady-state solution and its bifurcations in time-delay systems with band-limited feedback. This is a first step in a rigorous study concerning the effects of A…
All-optical switching in rubidium vapor
Andrew M. C. Dawes, Lucas Illing, Susan M. Clark +1
We report on an all-optical switch that operates at low light levels. It consists of laser beams counterpropagating through a warm rubidium vapor that induce an off-axis optical pa…