Publications

  • Edgar Perez, Colleen Werkheiser, Alex Striff, and Lucas Illing
    Exploring delay dynamics with a programmable electronic delay circuit,
    Am. J. Phys., vol. 88, 1006 (2020); DOI: 10.1119/10.0001695 [ pdf, Supplemental Material ]

  • Lucas Illing and Noah Shofer
    Reservoir-computing machine-learning algorithms as observers of spatio-temporal chaos,
    Chaotic Modeling and Simulation (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,
    Phys. Rev. E, vol. 98, 062207 (2018) [ pdf ].

  • L. Illing
    Amplitude death of identical oscillators in networks with direct coupling,
    Phys. Rev. E, 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,
    Chaos, vol. 23, 033109 (2013); DOI: 10.1063/1.4812723 [ pdf 2].

  • L. Illing, A. M. Saunders, and D. Hahs
    Multi-parameter identification from scalar time series generated by a Malkus-Lorenz water wheel, Chaos, vol. 22, 013127 (2012); DOI: 10.1063/1.3689441 [ pdf 2].

  • L. Illing, R. F. Fordyce, A. M. Saunders, and R. Ormond
    Experiments with a Malkus-Lorenz water wheel: Chaos and Synchronization, Am. J. Phys., vol. 80 (3), 192 (2012); DOI: 10.1119/1.3680533.

    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, Phys. Rev. E, 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, Phys. Rev. E, 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
    Phys. Rev. Lett., vol. 104, iss. 11, 113901 (2010). [ pdf]

    Our paper on broadband chaos generation was Highlighted in a Nature News & Views article! [ Nature, Vol 465, 6 May 2010]

  • L. Illing
    Digital communication using chaos and nonlinear dynamics
    Nonlinear Anal. - Theor., 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 original article 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 Physica D: Nonlinear Phenomena, vol. 210, 180 (2005). (Preprint at http://arxiv.org/abs/nlin/0507040)

  • 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
    Science, vol. 308, 672 (2005).

    Also, see the PDF file available from the All-Optical Switching Research 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 Virtual Journal of Ultrafast Science, Volume 3, Issue 6, June 2004.

  • 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).   ( original)

  • 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).   ( original)

  • 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).   ( original)

  • 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).