Lucas Illing's homepage

Lucas Illing, Ph.D.: Assistant Professor
In 1990, after the wall came down and I could finally visit my relatives in the "West", my uncle gave me a copy of J. Gleick's book, Chaos: Making a New Science. Ever since, I have been interested in and studied the complex behavior of nonlinear dynamical systems.
Lauren Shareshian, M.A. in Mathematics: Research Assistant
Nonlinear dynamics of coupled delay systems.

2009/2010 Thesis Students

Greg Hoth
Thesis: On the dynamics of coupled optoelectronic oscillators
Sam Spencer
Thesis: Mode-locking a HeNe laser

2009 Summer Students

Matthew Jemielita
Bifurcations and modeling of a pulsed opto-electronic delay system.
Greg Hoth
Reed College Science Research Fellowship: Dynamics of cross-coupled opto-electronic delay systems.
Adarsh Pyarelal
Chaotic dynamics and bifurcations of the Malkus Water Wheel.

2008/2009 Other Advisees

Kevin J. Lynagh
Reed College Melon Foundation Opportunity Grant: Nanopore Sequencing

2008/2009 Thesis Students

Rachel Fordyce
Thesis: Chaotic Waterwheel
Experimental implementation of the chaotic Malkus waterwheel, a mechanical device whose dynamics are modeled by the famous Lorenz equations. The observed dynamical behavior in both the chaotic and periodic operating regime is analyzed qualitatively using phase space plots and spectra.
Cody Myers
Thesis: Monochromatic Plane Waves in a Corrugated Tube System
Experimental and theoretical study of acoustic transmission properties of a corrugated tube. As with many periodic systems, there are band gaps for the acoustic wave propagation through the corrugated tube, i.e. large ranges of incident sound frequency over which there is virtually no sound transmission.

2008 Summer Students

Matthew Jemielita
Reed College Science Research Fellowship: Bifurcations of a pulsed opto-electronic delay system
Christopher May
Chaos synchronization of mutually coupled opto-electronic devices.
Seth Terashima
Chaos and bifurcations in the electronic "Rulkov" circuit.

2007/2008 Thesis Students

Drew Atwater
Thesis: A Brief Study of Thermoacoustic Cooling
Experimental and theoretical study of a thermoacoustic engine, a device where sound from a speaker is used to establish and maintain a temperature difference across a stack inside a pipe.
Christopher May
Thesis: Feedback, Synchronization, and Communication in Chaotic Time-Delay Opto-Electronic Feedback Circuits
Feeding back an amplified output signal of a nonlinear device to itself can result in self-sustained oscillations. Here, the nonlinearity is an integrated opto-electronic mach-zehnder modulator and the oscillations can be periodic or chaotic, depending on the feedback strength. Synchronized chaotic oscillations are achieved by coupling two such devices, which then are utilized for communication.
Conference Presentation: Chaos Synchronization and Communication using Optoelecronic Time-Delay Feedback Circuits, 10th Annual Meeting of the Northwest Section of APS, Portland, OR, May 16-17, 2008 (poster).
Bulletin of the American Physical Society, Vol. 53, Num. 6, C1.00006
Erin McCowen
Thesis: Bioconvection: The Effect of Density on Wavelength
Bioconvection of Bacillus subtilis, a phenomenon where the interplay of active upward swimming of the bacteria, gravity, and fluid dynamics result in spontaneous pattern formation.