Publications
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Lucas Illing, Kees Benkendorfer, Pierce Ryan, and Andreas Amann,
Dynamics of an electronic relay systems with bandpass filtered feedback,
Chaotic Modeling and Simulation (CMSIM) (2024). -
Lucas Illing, Pierce Ryan, and Andreas Amann,
Dynamics of a time-delayed relay system,
, vol. 109, 014223 (2024) [ pdf ]. -
Edgar Perez, Colleen Werkheiser, Alex Striff, and Lucas Illing
Exploring delay dynamics with a programmable electronic delay circuit,
, vol. 88, 1006 (2020); DOI: [ pdf, Supplemental Material ] -
Lucas Illing and Noah Shofer
Reservoir-computing machine-learning algorithms as observers of spatio-temporal chaos,
(CMSIM) vol. 2, 163–173 (2020) [ pdf ]. -
Yunjia Bao, Ella Banyas, and Lucas Illing
Periodic and quasiperiodic dynamics of optoelectronic oscillators with narrow-band time-delayed feedback,
, vol. 98, 062207 (2018) [ pdf ]. -
L. Illing
Amplitude death of identical oscillators in networks with direct coupling,
, vol. 94, 022215 (2016) [ pdf ]. -
B. A. M. Owens, M. T. Stahl, N. J. Corron, J. N. Blakely, and L. Illing
Exactly solvable chaos in an electromechanical oscillator,
, vol. 23, 033109 (2013); DOI: [ pdf 2]. -
L. Illing, A. M. Saunders, and D. Hahs
Multi-parameter identification from scalar time series generated by a Malkus-Lorenz water wheel, , vol. 22, 013127 (2012); DOI: [ pdf 2]. -
L. Illing, R. F. Fordyce, A. M. Saunders, and R. Ormond
Experiments with a Malkus-Lorenz water wheel: Chaos and Synchronization, , vol. 80 (3), 192 (2012); DOI: .
A scientific illustration from our paper is the front cover of Am. J. Phys., vol. 80 (3). -
L. Illing, C. D. Panda, and L. Shareshian
Isochronal chaos synchronization of delay-coupled optoelectronic oscillators, , vol. 84, 016213 (2011). [ pdf] -
K. E. Callan, L. Illing, and D. J. Gauthier
Broadband Chaos, an invited chapter in Nonlinear Laser Dynamics: From Quantum Dots to Cryptography (Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, Germany, 2012), pp. 317-332. [ preprint] -
L. Illing, G. Hoth, L. Shareshian, and C. May
Scaling behavior of oscillations arising in delay-coupled optoelectronic oscillators, , vol. 83, 026107 (2011). [ pdf] -
K. E. Callan, L. Illing, Z. Gao, D. J. Gauthier, and E. Schöll
Broadband Chaos Generated by an Optoelectronic Oscillator
, vol. 104, iss. 11, 113901 (2010). [ pdf]
Our paper on broadband chaos generation was Highlighted in a Nature News & Views article! [ ] -
L. Illing
Digital communication using chaos and nonlinear dynamics
, vol. 71, iss. 12, e2958 (2009). [ preprint] -
A. M. C. Dawes, L. Illing, J. A. Greenberg, D. J. Gauthier
All-Optical Switching with Transverse Optical Patterns
Phys. Rev. A, vol. 77, 013833 (2008). -
L. Illing, D. J. Gauthier, and J. N. Blakely
Controlling fast chaos in opto-electronic delay dynamical systems, an invited chapter in Handbook of Chaos Control, 2nd Ed., E. Schöll, H. G. Schuster, Eds. (WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim, Germany, 2008), pp. 407-425. (preprint) -
L. Illing, D.J. Gauthier, and R. Roy
Controlling Optical Chaos, Spatio-temporal Dynamics, and Patterns, an invited chapter in Advances in Atomic, Molecular, and Optical Physics, Vol. 54, P.R Berman, E. Arimondo, and C. Lin, Eds. (Elsevier, Amsterdam, 2007), pp. 615-695. ( preprint) -
N. F. Rulkov, A. R. Volkovskii, M. M. Sushchik, L. S. Tsimring, and L. Illing
Digital Communication Using Self-Synchronizing Chaotic Pulse Position Modulation, an invited chapter in Digital Communications Using Chaos and Nonlinear Dynamics L. E. Larson, J. M. Liu, and L. S. Tsimring, Eds. (Springer, 2006) -
L. Illing and D. J. Gauthier
Ultra-high-frequency chaos in a time-delay electronic device with band-limited feedback, Chaos 2 , vol. 16, 033119 (2006). (The is available.) -
A. M. C. Dawes, L. Illing, S. M. Clark, and D. J. Gauthier
All-optical switch controls strong beams with weak ones,
Optics & Photonics News, vol. 16, no. 12, 34 (2005). -
L. Illing, J. N. Blakely, and D. J. Gauthier
Time delay systems with band-limited feedback in Proceedings of the ENOC-2005 Fifth EUROMECH Nonlinear Dynamics Conference, Eindhoven, The Netherlands, August 7--12, 2005, D.H. Van Campen, M.D. Lazurko W.P.J.M. Van Der Oever, Eds., pp. 1115-1123 (2005). -
L. Illing and D. J. Gauthier
Hopf bifurcations in time-delay systems with band-limited feedback , vol. 210, 180 (2005). (Preprint at ) -
A. M. C. Dawes, S. M. Clark, L. Illing, D. J. Gauthier
` Observation of ultra-low-light-level all-optical switching,' Advanced Optical and Quantum Memories and Computing II; H. J. Coufal, Z. U. Hasan, and A. E. Craig; Eds., Proc. SPIE, vol. 5735, 60-68 (2005). -
A. M. C. Dawes, L. Illing, S. M. Clark, and D. J. Gauthier
All-optical switching in rubidium vapor
, vol. 308, 672 (2005).
Also, see the PDF file available from the page of Dan Gauthier's Group. -
J. N. Blakely, L. Illing, and D. J. Gauthier
Controlling Fast Chaos in Delay Dynamical Systems
Phys. Rev. Lett., vol. 92, 193901 (2004)
Selected for the , . -
J. N. Blakely, L. Illing, and D. J. Gauthier
High speed chaos in an optical feedback system with flexible timescales, IEEE J. Quantum Electron. 1 , vol. 40, 299 (2004). -
L. Illing and M. B. Kennel
Shaping Current Waveforms for direct Modulation of Semiconductor Lasers, IEEE J. Quantum Electron. 1 , vol. 40, 445 (2004). -
I. Tokuda, U. Parlitz, L. Illing, M. Kennel, and H. D. I. Abarbanel
Parameter Estimation of Neuron Models, AIP 2 Conference Proceedings of the 7th Experimental Chaos Conference, vol. 676, 251, (2003). ( ) -
L. Illing, N. F. Rulkov, and M. A. Vorontsov
Chaotic Optical Communication over Turbulent Channel, AIP 2 Conference Proceedings of the 7th Experimental Chaos Conference, vol. 676, 251, (2003). ( ) -
N. F. Rulkov, L. Illing and M. A. Vorontsov
Chaos-based communication over turbulent channel, Proceedings of the IASTED International Conference. Communications, Internet, and Information Technology, 326, (2002). -
N. F. Rulkov, M. A. Vorontsov, and L. Illing
Chaotic Free-Space Laser Communication over a Turbulent Channel
Phys. Rev. Lett., vol. 89, 277905, (2002). -
L. Illing, J. Bröcker, L. Kocarev, U. Parlitz, and H. D. I. Abarbanel
When are synchronization errors small?
Phys. Rev. E, vol. 66, 036229 (2002). -
S. Tang, L. Illing, J. M. Liu, H. D. I. Abarbanel, and M. Kennel
Communication using Synchronization of Chaos in Semiconductor Lasers with optoelectronic feedback, AIP 2 Conference Proceedings of the 6th Experimental Chaos Conference, vol. 622, 224, (2002). ( ) -
H. D. I. Abarbanel, M. Kennel, L. Illing, S. Tang, H.F. Chen and J.M. Liu
Synchronization and Communication Using Semiconductor Lasers With Optoelectronic Fedback, IEEE J. Quantum Electron. 1 , vol.37, 1301 (2001). -
C. Lewis, H. D. I. Abarbanel, M. Kennel, M. Buhl, and L. Illing
Synchronization of chaotic oscillations in doped fiber ring lasers
Phys. Rev. E, vol. 63, 016215, (2000).