2023

Neuronal diversity can improve machine learning for physics and beyond
Anshul Choudhary, Anil Radhakrishnan, John F. Lindner, Sudeshna Sinha, and William L. Ditto. Sci Rep 13, 13962 (2023). https://doi.org/10.1038/s41598-023-40766-6

Solving two-dimensional quantum eigenvalue problems using physics-informed machine learning
Elliott G. Holliday, John F. Lindner, William L. Ditto. AIP Advances 1 August 2023; 13 (8): 085013.  https://doi.org/10.1063/5.0161067

2022

Reconfigurable noise assisted logic gates exploiting nonlinear transformation of input signals
K. Murali, W. L. Ditto and Sudeshna Sinha, Physical Review Applied 18 (1), 014061.

2021

Construction of logic gates exploiting resonance phenomena in nonlinear systems,
K. Murali, S. Rajasekar, Manaoj Aravind V, Vivek Kohar, W. L. Ditto and Sudeshna Sinha, Phil. Trans. R. Soc. A.37920200238 (2021). http://doi.org/10.1098/rsta.2020.0238

Forecasting Hamiltonian dynamics without canonical coordinates,
Anshul Choudhary, John F. Lindner, Elliott G. Holliday, Scott T. Miller, Sudeshna Sinha, and William L. Ditto Nonlinear Dyn (2021). https://doi.org/10.1007/s11071-020-06185-2

Harnessing tipping points for logic operations,
Murali, K., Sinha, S., Kohar, V. et al.  Eur. Phys. J. Spec. Top. (2021). https://doi.org/10.1140/epjs/s11734-021-00014-2

Negotiating the separatrix with machine learning,
ST Miller, JF Lindner, A Choudhary, S Sinha, WL Ditto, Nonlinear Theory and Its Applications, IEICE, 2021. Volume 12, Issue 2, Pages 134-142,
https://doi.org/10.1587/nolta.12.134, https://www.jstage.jst.go.jp/article/nolta/12/2/12_134/_article/-char/en

2020

Nonlinear dynamics based machine learning: Utilizing dynamics-based flexibility of nonlinear circuits to implement different functions,
Kia B, Mendes A, Parnami A, George R, Mobley K, Ditto WL, PLoS ONE 15(3): e0228534. March 3, 2020. https://doi.org/10.1371/journal.pone.0228534 

The scaling of physics-informed machine learning with data and dimensions,
Scott T. Miller, John F. Lindner, Anshul Choudhary, Sudeshna Sinha, and William L. Ditto, Chaos, Solitons and Fractals: X, Vol. 5, March 2020, 10046.

Physics enhanced neural networks learn order and chaos,
A. Choudhary, J. F. Lindner, E. Holliday, S. T. Miller, S. Sinha and W. L. Ditto, Phys. Rev. E 101, 062207 (2020).18 June, 2020. https://link.aps.org/doi/10.1103/PhysRevE.101.062207

2019

Integrated Circuit with A Dynamics-Based Reconfigurable Block
United States Application No. 16/326,603

Nonlinear Computing and Artificial intelligence
Proceedings of the 5th International Conference on Applications in Nonlinear Dynamics, (2019).

2018

Chaotic attractor hopping yields logic operations
PLOS ONE 13(12): e0209037

2017

An Integrated Circuit Design for a Dynamics-Based Reconfigurable Logic Block
IEEE Transactions on Circuits and Systems II: Express Briefs 64(6).

Dynamical coupling outperforms “majority wins” in organizing redundancy to mitigate noise 
Nonlinear Dynamics 87(1)

Nonlinear Dynamics as an Engine of Computation 
Philosophical Transactions of The Royal Society, Series A 375 (2088) (2017).

Detecting and characterizing high frequency oscillations in epilepsy-A case study of big data analysis
Soc. open sci. 4(1) (2017).

Implementing Boolean functions in hybrid digital-analog systems
Physical Review Applied 7(4)

Nonlinear Dynamics and Chaos for Flexible, Reconfigurable Computing
2017 IEEE International Conference on Rebooting Computing (ICRC), Washington, DC

2016

“A simple nonlinear circuit contains infinitely many functions,” B. Kia, J. Lindner, W. L. Ditto, IEEE Transaction of Circuits and Systems II, , vol.PP, no.99, pp.1-1 doi: 10.1109/TCSII.2016.2538358
“Superlinearly scalable noise robustness of redundant coupled dynamical systems,” V. Kohar, B. Kia, J. F. Lindner, W. L. Ditto, Phys. Rev. E. 93, 032213 (2016)
“Role of network topology in noise reduction using coupled dynamics,” V Kohar, S Kia, B Kia, JF Lindner, WL Ditto, Nonlinear Dynamics, 84 (2016) doi: 10.1007/s11071-016-2607-6.
“Simple nonlinear models suggest variable star universality,” J. F. Lindner, V. Kohar, B. Kia, M. Hippke, J. G. Learned, W. L. Ditto, Physica D 316, 16-22 (2016).
“Applied Chaos and Chaotic Computers,” W. L. Ditto, Behnam Kia, Naval Science and Technology Future Force Magazine, (In press).
“Reduction of additive colored noise using coupled dynamics,” V. Kohar, B. Kia, J. F. Lindner, W. L. Ditto, International Journal of Bifurcation and Chaos 26, 1650005 (2016).

2015

“Nonlinear dynamics based digital logic and circuits,” Behnam Kia, J. F. Lindner, and W. L. Ditto. Frontiers in Computational Neuroscience 9 (2015).
“Strange Nonchaotic Stars,”,John F. Lindner, Vivek Kohar, Benham Kia, Michael Hippke, John G. Learned & William L. Ditto, Physical Review Letters 114, 054101 (2016).
“Coupling reduces noise: applying dynamical coupling to reduce local white additive noise,” Behnam Kia, S. Kia, J. Lindner, S. Sinha, W. Ditto, International Journal of Bifurcation and Chaos, volume 25, Issue 03 (2015): 1550040.

2014

“Watch your step: Integrating nonlinear dynamical flows by stepping through space and time,” B. Kia, J. F. Lindner, W. L. Ditto, International Journal of Bifurcation and Chaos, volume 24, pages 1450145 (2014).
“Noise Tolerant Spatiotemporal Chaos Computing,” B. Kia, S. Kia, J. F. Lindner, S. Sinha, W. L. Ditto, Chaos: An Interdisciplinary Journal of Nonlinear Science, volume 24, pages 043110(1-7) (2014).
“Pulsation period variations in the RRc Lyrae star KIC 5520878,” M. Hippke, J. G. Learned, A. Zee, W. H. Edmondson, J. F. Lindner, B. Kia, W. L. Ditto, I. R. Stevens, Astrophysical Journal 798, pages 42 (2014).
“Integrating nonlinear dynamical systems by stepping through space and time,” B. Kia, J. Lindner, W. L. Ditto, Dynamics Days 2014, Atlanta, GA.
“Nonlinearity and Programmability: Utilizing nonlinearity to build reconfigurable computation,” B. Kia and W. L. Ditto, Dynamics Days 2014, Atlanta, GA.
“Logic from Dynamics,” William L. Ditto, K. Murali and Sudeshna Sinha, in Chaotic Signal Processing, Henry Leung Ed., Nonlinear Physical Science, Higher Education Press, Beijing, pp 102-127 (2014).

2013

“Phase shift in the 24-hour rhythm of hippocampal EEG spiking activity in a rat model of temporal lobe epilepsy,” David A. Stanley, Sachin S. Talathi, Mansi B. Parekh, Daniel J. Cordiner, Junli Zhou, Thomas H. Mareci, William L. Ditto, and Paul R. Carney, J. Neurophysiology, doi:10.1152/jn.00911.2012 (May 15, 2013).
“Computation within a synthetic gene network through morphable and robust logic gates”, A. Dari, B. Kia, A. R. Bulsara, X. Wang, and W. L. Ditto, First Q-Bio meeting, Honolulu, Hawaii 2013.

2012

“Magnet Resonance Diffusion Changes in the Hypothalamus and Medial Septum Ac Epileptogenic Phase Shift in Hippocampal Circadian Rhythms”, Stanley D.A., Parekh M.B., Talathi S.S., Ditto W.L., Mareci T.H., Carney P.R. Annual Meeting of the Associated Sleep Professional Societies, 2012.
“Modulation of sharp waves by acetylcholine, calcium, GABA, and melatonin in a hippocampal network model”, Stanley, D.A., Carney, P.R., Talathi, S.S., Ditto, W.L. (2012). Biomedical Engineering Society Annual Meeting, Atlanta, GA.
“Synthetic computation: chaos computing, logical stochastic resonance, and adaptive computing”, B Kia, K Murali, MRJ Motlagh, S Sinha, W. L. Ditto, ICAND 2012, Seattle, WA, August 26-30 2012.
“Circadian regulation of hippocampal EEG rhythms in an animal model of limbic epilepsy”, Stanley, D.A., Ni, X., Huang, L., Lai, Y.-C., Talathi, S.S., Ditto, W.L., Carney, P.R., Society for Neuroscience Annual Meeting, New Orleans, LA (2012).

2011

“Circadian rhythms of gamma oscillations following status epilepticus: Implications for cognition,” Stanley D.A., Talathi S.S., Ni X., Huang L., Lai Y.C., Ditto W.L., Carney P.R., Annual American Epilepsy Society Meeting Dec 2011.
“Reprogrammable biological logic gate that exploits noise,” Dari, Anna; Bulsara, Adi. R.; Ditto, William L.; Wang, Xiao, Biomedical Circuits and Systems Conference (BioCAS), 2011 IEEE, vol., no., pp.337-340, 10-12 Nov. 2011 http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=6107796&isnumber=61 07704
“Fimbria loss and its effects on circadian rhythms in epilepsy,” Stanley D.A., Parekh M.B., Carney P.R., Ditto W., Mareci T., Talathi S.S., Annual Society for Neuroscience Meeting, Washington, Nov 2011.
“Phase shift in hippocampal circadian rhythm during the latent period of epileptic rats” Stanley DA, Carney PR, Parekh MB, Mareci TH, Talathi SS, Ditto WL BMC Neuroscience 12(Suppl 1):P76 (2011). http://www.biomedcentral.com/1471- 2202/12/S1/P76
“Chaos for Speech Coding and Production,” B. Kia, W. L. Ditto and M. L. Spano, NOLISP 2011, LNAI 7015, pp. 270–278. Springer, Heidelberg (2011). doi: 10.1007/978-3-642-25020-0_35

“Logical Stochastic Resonance with Correlated Internal and External Noise in a Synthetic Biological Logic Block,” A. Dari, B. Kia, A. R. Bulsara and W. L. Ditto, Chaos 21, 047521 (2011); doi:10.1063/1.3660159
“Unstable Periodic Orbits and Noise in Chaos Computing,” B. Kia, A. Dari, W. L. Ditto and M. L. Spano, Chaos 21, 047520 (2011); doi:10.1063/1.3664349
“Stochastic amplification of calcium-activated potassium currents in Ca2+ microdomains,” J. Comp. Neurosci. 31(3) (2011).
“Chaos Computing in Terms of Periodic Orbits,” Behnam Kia, Mark L. Spano and William L. Ditto, Phys. Rev. E 84, 036207 (2011), doi: 10.1103/PhysRevE.84.036207.
“Subcellular compartmentalization and calcium channel stochasticity enable subthreshold activation of SK2 calcium-dependent potassium channels”, David A. Stanley, Berj L Bardakjian, Mark L. Spano and William L. Ditto, J. Comp. Neurosci., (2011). doi: 10.1007/s10827-011-0328-x
“Noise-aided computation within a synthetic gene network through morphable and robust logic gates,” Anna Dari, Behnam Kia, Adi R. Bulsara, Xiao Wang and William Ditto, Physical Review E 83, 041909, doi: 10.1103/PhysRevE.83.041909
“Creating morphable logic gates using logical stochastic resonance in an engineered gene network” A. Dari1, B. Kia, A. R. Bulsara and W. L. Ditto, Europhysics Letters 93 (2011), 18001.
“Chaos for Speech Coding and Production,” B. Kia, W. L. Ditto and M. L. Spano, NOLISP 2011, LNAI 7015, pp. 270–278. Springer, Heidelberg (2011).
“Phase shift in hippocampal circadian rhythm during the latent period of epileptic rats” Stanley DA, Carney PR, Parekh MB, Mareci TH, Talathi SS, Ditto WL BMC Neuroscience 12(Suppl 1):P76 (2011).
“Fimbria loss and its effects on circadian rhythms in epilepsy,” Stanley D.A., Parekh M.B., Carney P.R., Ditto W., Mareci T., Talathi S.S., Annual Society for Neuroscience Meeting, Washington, Nov 2011.
“Reprogrammable biological logic gate that exploits noise,” Dari, Anna; Bulsara, Adi. R.; Ditto, William L.; Wang, Xiao, Biomedical Circuits and Systems Conference (BioCAS), 2011 IEEE, vol., no., pp.337-340, 10-12 Nov. 2011
“Circadian rhythms of gamma oscillations following status epilepticus: Implications for cognition,” Stanley D.A., Talathi S.S., Ni X., Huang L., Lai Y.C., Ditto W.L., Carney P.R., Annual American Epilepsy Society Meeting Dec 2011.
“Effects of stochastic inputs on calcium-dependent synaptic plasticity”, Annual Computational Neuroscience Meeting, Stockholm, Sweden, (BMC Neuroscience 2011, 12(Suppl 1):P8).
“Circadian Regulation of Neural Excitability in Temporal Lobe Epilepsy,” P. R. Carney, S. S. Talathi, D. Hwang and W. Ditto in Epilepsy: The Intersection of Neurosciences, Biology, Mathematics, Engineering and Physics, I. Osorio, H. P. Zaveri, M. G. Frei and S. Arthurs Eds., CRC Press (2011).

2010

“Logical stochastic resonance“, Adi R. Bulsara, Anna Dari, William L. Ditto, K. Murali and Sudeshna Sinha, Chemical Physics doi:10.1016/j.chemphys.2010.06.015
“Granger causality relationships between local field potentials in an animal model of temporal lobe epilepsy“, Alex J. Cadottea, Thomas B. DeMarseb, Thomas H. Marecib, Mansi B. Parekhg, Sachin S. Talathib, Dong-Uk Hwangb, William L. Dittoe, Mingzhou Dingb and Paul R. Carney, Journal of Neuroscience Methods 189 (2010), 121-129
“Support vector machines for seizure detection in an animal model of chronic epilepsy“, Manu Nandan, Sachin S Talathi, Stephen Myers, William L Ditto, Pramod P Khargonekar and Paul R Carney, Journal of Neural Engineering doi:10.1088/1741-2560/7/3/036001
“Synchrony with shunting inhibition in a feedforward inhibitory network“, Sachin S. Talathi, Dong-Uk Hwang, Paul R. Carney and William L. Ditto, J Comput Neurosci DOI 10.1007/s10827-009-0210-2 (2010).
“Effects of phase on homeostatic spike rates,” N. Fisher, S. Talathi, P. R. Carney and William L. Ditto, Biological Cybernetics, 102:427–440, DOI 10.1007/s00422-010-0376-8 (2010).
“A noise-assisted reprogrammable nanomechanical logic gate,” D. N. Guerra, A. R. Bulsara, W. L. Ditto, Sudeshna Sinha, K. Murali and P. Mohanty, Nano Letters doi:10.1021/nl9034175 (2010).
“Chaogates: morphing logic gates designed to exploit dynamical patterns,” William L. Ditto, A. Miliotis, K. Murali, Sudeshna Sinha and Mark Spano, Chaos 20, 037107 (2010). doi:10.1063/1.3489889
“Introduction to focus issue: intrinsic and designed computation: information processing in dynamical systems—beyond the digital hegemony,” James P. Crutchfield, William L. Ditto and Sudeshna Sinha, Chaos 20, 037101 (2010). doi:10.1063/1.3492712.
“Circadian Rhythm of Core Body Temperature in an Animal Model of Chronic Epilepsy, Talathi, S. S., Zhou, J. L., Ditto, W. and Carney, P., Neurology 74(9), A277 (2010).
“Calcium-dependent subthreshold fluctuations in membrane voltage; a modeling study,” David A. Stanley, Berj L. Bardakjian, Mark L. Spano and William L. Ditto, BMC Neuroscience 2010, 11(Suppl 1): P122, doi:10.1186/1471-2202-11-S1-P12
“Noise Enhanced Logic Gates,” K. Murali, S. Sinha, A. R. Bulsara, A. Dari and W. L. Ditto, AIP Conference Proceedings, April 19, 2011 Vol 1339, pp. 67-77. International Conference on Applications of Nonlinear Dynamics (ICAND 2010) doi:10.1063/1.3574845
“The Chaos Computing Paradigm,” Ditto, W. L., Miliotis, A., Murali, K. and Sinha, S., in Reviews of Nonlinear Dynamics and Complexity, Volume 3 (ed H. G. Schuster), Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, Germany.
doi: 10.1002/9783527630967.ch1 (2010).

2009

“Realization of reliable and flexible logic gates using noisy nonlinear circuits“, K. Murali, I. Raja Mohamed, Sudeshna Sinha, William L. Ditto and Adi R. Bulsara, Applied Physics Letters 95, 194102 (2009), DOI:10.1063/1.3245318
“Robust control of spatiotemporal chaos in coupled map lattices“, Z. Rahmani, M. R. Jahed Motlagh and William Ditto, Int. J. of Bifurcation and Chaos, Vol. 19 (6), pp. 2031 – 2042 (2009)
“Predicting synchrony in heterogeneous pulse coupled oscillators,” Sachin S. Talathi, Dong-Uk Hwang, Abraham Miliotis amd P. R. Carney Phys.Rev. E. 80, 021908 (2009).
“A Simple Nonlinear Dynamical Computing Device,” A. Miliotis, K. Murali, S. Sinha, W. L. Ditto and M. L. Spano, Chaos, Solitons and Fractals, 42, 809–819 (2009).
“Circadian Phase-Induced Imbalance in the Excitability of Population Spikes during Epileptogenesis in an Animal Model of Spontaneous Limbic Epilepsy,” Sachin S. Talathi, Dong-Uk Hwang, William L. Ditto, Mark Spano and Paul R. Carney, Neuroscience Letters, 455:145-149 (2009).
“Temporal Lobe Epilepsy: Anatomical and Effective Connectivity,” Alex Cadotte, Thomas Mareci, Thomas DeMarse, William Ditto, Sachin Talathi, Dong-Uk Hwang, and Paul Carney, IEEE Transactions on Neural Systems and Rehabilitation Engineering, Vol. 17 (3), pp. 214 – 223 (2009).
“Analysis of High-Resolution Microelectrode EEG Recordings in an Animal Model of Spontaneous Limbic Seizures,” C. Komalapriya, M. C. Romano, M. Thiel, U. Schwarz, J. Kurths, J. Simonotto, M. Furman, W. L. Ditto and P. R. Carney, Int. J. of Bifurcation and Chaos, Vol. 19 (2), pp. 605-617 (2009).
“Logic from Nonlinear Dynamical Evolution,” K. Murali, A. Miliotis, W. L. Ditto and Sudeshna Sinha, Physics Letters A, 373, 1346 – 1351 (2009).
“Reliable logic circuit elements that exploit nonlinearity in the presence of a noise floor“, Phys. Rev. Lett. 102, 10410 (2009)Featured article in Physical Review Focus.

2008

“Temporal Spike Pattern Learning,” Sachin S. Talathi, Henry D. I. Abarbanel and William L. Ditto, Physical Review E 78, 031918 (2008).
“Exploiting Nonlinear Dynamics to Store and Process Information,” Abraham Miliotis, Sudeshna Sinha and William L. Ditto, Int. J. of Bifurcation and Chaos, Vol. 18 (5), pp. 1551-1559 (2008).
“Non-parametric Early Seizure Detection in an Animal Model of Temporal Lobe Epilepsy,” Sachin S. Talathi, Dong-Uk Hwang, Mark L. Spano, Jennifer Simonotto, Michael D. Furman, Stephen M. Myers, Jason Winters, William L. Ditto and Paul R. Carney, J. Neural Eng. 5,85 – 98 (2008).
“Spike timing dependent plasticity promotes synchrony of inhibitory networks in the presence of heterogeneity,” Sachin S. Talathi, Dong-Uk Hwang and William Ditto, J. Comp. Neurosci. 25(2), pp. 262– 281 (2008).
“Reconfigurable Logic Blocks Based On a Chaotic Chua Circuit,” Hamid Reza Pourshaghaghi, Behnam Kia, William Ditto and Mohammad Reza Jahed-Motlagh, Chaos, Solitons and Fractals, (doi:10.1016/j.chaos.2007.11.030) (2008).
“Chaos Computing: ideas and implementations” William L. Ditto, K. Murali and S. Sinha, Phil, Trans. R. Soc. A, 366, pp. 653-664(2008).

2007

“Introduction: Cardiovascular Physics,” N. Wessel, J. Kurths, W. Ditto and R. Bauernschmitt, Chaos 17 (2007).
“Dynamic Transmurality: Cardiac Optical Mapping Reveals Waves Travel Across Transmural Ablation Lines,” Jennifer D. Simonotto, Michael D. Furman, William L. Ditto, Abraham Miliotis, Mark L. Spano and Thomas M. Beaver, Int. J. of Bifurcation and Chaos, Vol. 17 (9), pp. 3229-3234 (2007).
“Fault Tolerance and Detection in Chaotic Computers,” M. R. Jahed-Motlagh, B. Kia, W. L. Ditto and S. Sinha, Int. J. of Bifurcation and Chaos, Vol. 17 (6), pp. 1955-1968 (2007).

2006

“Exploiting the controlled responses of chaotic elements to design configurable hardware,” W. L. Ditto and S. Sinha, Phil. Trans. R. Soc. A, 364, pp. 2483-2494 (2006).
“Using Recurrence Quantification Analysis Determinism for Noise Removal in Cardiac Optical Mapping,” M. D. Furman, J. D. Simonotto, T. M. Beaver, Mark L. Spano and W. L. Ditto, IEEE Transactions on Biomedical Engineering, Vol. 53 (4), pp. 767 – 770 (2006).
“Evolving into Epilepsy: Multiscale Electrophysiological Analysis and Imaging in an Animal Model,” J. C. Sanchez, T. H. Mareci, W. M. Norman, J. C. Principe, W. L. Ditto, and P. R. Carney, Experimental Neurology, 198(1), pp. 31- 47 (2006).

2005

“Construction of a reconfigurable dynamic logic cell,” K. Murali, S. Sinha, and W. L., Ditto, Pramana Journal of Physics, Vol. 64, No. 3, p. 433 (March, 2005).

2003

“Implementation of NOR gate by a chaotic Chua’s circuit,” K. Murali, Sudeshna Sinha and William L. Ditto, Int. J. of Bifurcation and Chaos, Vol. 13, No. 9, pp. 1-4, (2003).
“Realization of the fundamental NOR Gate using a chaotic circuit,” K. Murali, Sudeshna Sinha and William L. Ditto Phys. Rev. E 68, 016205 (2003).

2002

“Reply to “Comment on ‘Monostable array-enhanced stochastic resonance’”John F. Lindner, Barbara J. Breen, Adi R. Bulsara and William L. Ditto, Phys. Rev. E 66, 013102 (2002).
“Chaos Computing: Implementation of Fundamental Logical and Arithmetic Operations and Memory by Chaotic Elements” T. Munakata, S. Sinha and W.L. Ditto, IEEE Trans. of Circuits and Systems I, Vol. 49, No. 11, pp. 1629-1633 (2002).
“Nonlinear Antenna Technology,” Brian Meadows, Ted Heath, Joseph Neff, Edgar Brown, Dave Fogliatti, Michael Gabbay, Visarath In, Paul Hasler, Steve DeWeerth and William Ditto, Proceedings of the IEEE, vol. 90 (5), pp. 882-897(2002).
“Flexible parallel implementation of logic gates using chaotic elements,” Sudeshna Sinha, Toshinori Munakata and William L. Ditto, Phys. Rev. E 65, 036216 (2002).
“Parallel computing with extended dynamical systems,” Sudeshna Sinha, Toshinori Munakata and William L. Ditto, Phys. Rev. E 65, 036214 (2002).

2001

“Monostable Array Enhanced Stochastic Resonance,” John F. Lindner, Jonathan Mason, Barbara J. Breen, Meghan E. Wills, Adi Bulsara and William L. Ditto Phys. Rev. E 63, 051107 (2001).
“Controlling Neuronal Spikes,” Sudeshna Sinha and William L. Ditto Phys. Rev. E 63, 056209 (2001)
“Noninvasive Control of Stochastic Resonance,” John F. Lindner, Jonathan Mason, Joseph Neff, Barbara J. Breen William L. Ditto and Adi Bulsara, Phys. Rev. E 63, 041107 (2001).

2000

“Pulse Enhanced Stochastic Resonance,” Jonathan Mason, John F. Lindner, William L. Ditto, Joseph Neff, Adi Bulsara and Mark Spano, Phys. Lett. A, 277, 13 (2001).
“Control of Human Atrial Fibrillation,” W. L. Ditto, M. L. Spano, V. In, J. Neff, B. Meadows, J. J. Langberg, A. Bolmann and K. McTeague Int.l J. of Bifurcation and Chaos, Vol. 10, No. 3, 593-601 (2000).
“Theory of Controlling Stochastic Resonance,” M. Locher, M. Inchiosa, J. Neff, A. Bulsara, K. Wiesenfeld, L Gammaitoni, P. Hangii and W. Ditto Phys. Rev. E. 62, 317 (2000).
“Noise Sustained Propagation: local vs. global noise,” M. Locher, N. Chatterjee, F. Marchesoni, W. L. Ditto and E.R. Hunt Phys. Rev. E. 61, 4954 (2000).

1999

“Chaos at 35,000 feet,” Industrial Physicist, vol. 5, pp. 27-9 (August, 1999).

“Controlling Stochastic Resonance,” L. Gammaitoni, A. Bulsara, P. Hänggi, J. Neff, M. Löcher, K. Wiesenfeld and W. Ditto Phys. Rev. Lett. 82, 4574 (1999).

1998

“Spatiotemporal dynamics of a stochastic VLSI array,” Neff, J.D.; Patel, G.N.; Meadows, B.K.; DeWeerth, S.P., Ditto, W.L., ISCAS ’98. Proceedings of the 1998 IEEE International Symposium on Circuits and Systems, vol. 3, p. 542-5 (1998)

“Dynamics based computation,” Sudeshna Sinha and William L. Ditto, Phys. Rev. Lett. 81, 2156 (1998).

“Noise Enhanced Propagation,” John F. Lindner, Sridhar Chandramouli, Adi R. Bulsara, Markus Löcher and William L. Ditto, Phys. Rev. Lett. 81, 5048 (1998).

“Spatiotemporal evolution of ventricular fibrillation,” Francis X. Witkowski, L. Joshua Leon, Patricia A. Penkoske, Wayne R. Giles, Mark L. Spano, William L. Ditto, & Arthur T. Winfree, Nature 392, 78 (1998).

“A method for visualization of ventricular fibrillation: design of a cooled fiberoptically coupled image intensified CCD data acquisition system incorporating wavelet shrinkage based adaptive filtering,” F. X Witkowski, L. Joshua Leon, P. A. Penkoske, R. B. Clark, M. L. Spano, W. L. Ditto and Wayne R. Giles, Chaos 8, 94 (1998).

“Control and Synchronization of Chaos in High Dimensional Systems: Review of Some Recent Results,” M. Ding, E. Ding, W. L. Ditto, B. Gluckman, V. In, J. Peng, M. L. Spano and W. Yang, Chaos 7, 644 (1998).

“Maintenance of chaos in a computational model of a thermal pulse combustor,” V. In, M. L. Spano, J. Neff, W. L. Ditto, C. Daw, K. D. Edwards and K. Nguyen, Chaos 7, 605 (1998).

“Introduction: control and synchronization of chaos,” W. L. Ditto and K. Showalter, Chaos 7, 509 (1998).

1997

“Real-time experimental control of a system in its chaotic and nonchaotic regimes,” D. Christini, V. In, M. L. Spano, W. L. Ditto and J. J. Collins, Phys. Rev. E. 56, R3749 (1997).

“Tracking unstable periodic orbits in nonstationary high-dimensional chaotic systems: Method and experiment,” B. Gluckman, M. L. Spano, W. Yang, M. Ding, V. In, and W. L. Ditto, Phys. Rev. E 55, 4935 (1997).

1996

“Electric field suppression of seizure activity in brain tissue,” B. Gluckman, E. Neel, T. Netoff, W. L. Ditto, M. Spano and S. Schiff, Journal of Neurophysiology 96, 4202 (1996).

“Stochastic resonance in a neuronal network from mammalian brain,” B. Gluckman, E. Neel, T. Netoff, W. L. Ditto, M. Spano and S. Schiff, Phys. Rev. Lett. 77, 4098 (1996).

“Controlling chaos in high dimensions: theory and experiment,” M. Ding, V. In, W. Yang, W. L. Ditto, M. L. Spano and B. Gluckman, Phys. Rev. E 53, 4334 (1996).

“Scaling laws for spatiotemporal synchronization and array enhanced stochastic resonance,” J. F. Lindner, B. K Meadows, W. L Ditto, M. Inchiosa and A. Bulsara, Phys. Rev. E 53, 2081 (1996).

1995

“Removal, suppression and control of chaos by nonlinear design,” W. L. Ditto and J. L. Lindner, Applied Mechanics Review 48, 795 (1995).
“Taming spatiotemporal chaos with disorder,” Y. Braiman, J. L. Lindner and W. L Ditto, Nature 378, 465 (1995).
“Principles and applications of chaotic systems,” W. L. Ditto, and T. Munakata, Communications of the ACM 38, 96 (1995).
“Techniques for the control of chaos,” W. L. Ditto, M. L. Spano and J. L. Lindner, Physica D 86, 198 (1995).
“Disorder-enhanced synchronization,” Y. Braiman, W. L. Ditto, K. Wiesenfeld and M. L. Spano, Phys. Lett. A 206, 54 (1995).
“Evidence for determinism in ventricular fibrillation,” F. X. Witkowski, K. M. Kavanagh, P. A. Penkoske, R. Plonsey, M. L. Spano, W. L. Ditto and D. T. Kaplan, Phys. Rev. Lett. 75, 1230 (1995).
“Array enhanced stochastic resonance and spatiotemporal synchronization,” J. F Lindner, B. K. Meadows, W. L. Ditto, M. E. Inchiosa and A. Bulsara, Phys. Rev. Lett. 75, 3 (1995).
“Experimental maintenance of chaos,” V. In, S. Mahan, W. L. Ditto and M. L. Spano, Phys. Rev. Lett. 74, 4420 (1995).
“Adaptive control and tracking in a magnetoelastic ribbon,” V. In, W. L. Ditto and M. L. Spano, Phys. Rev. E 51 R2689 (1995).
“Chaos control of cardiac arrhythmias,” A. Garfinkel, J. N. Weiss, W. L. Ditto and M. L. Spano, Trends in Cardiovascular Medicine 5(2), 76 (1995).

1994

“In vivo transmembrane cardiac current determination provides evidence for unstable fixed points during ventricular fibrillation,” F. Witkowski, K. Kavanagh, P. Penkoske, R. Plonsey, D. Kaplan, M. Spano and W. Ditto, Can. J. Cardiol. 10:94C, (1994).
“Chaos and chaos control in biology,” J. N. Weiss, A. Garfinkel, M. L. Spano and W. L. Ditto, J. Clin. Invest. (Cover Article), 93, 1355 (1994).
“The fundamentals of controlling chaos,” M. L. Spano and W. L. Ditto, Integrative Physiological and Behavioral Science 29(3), 235-245 (1994).
“Controlling chaos in the brain,” S. J. Schiff, K. Jerger, D. H. Duong, T. Chang, M. L. Spano and W. L. Ditto, Nature 370, 615 (1994).

1993

“Mastering chaos,” W. L. Ditto and L. M. Pecora, Scientific American 269, 78 (1993).
“Chaotic resonance: a simulation,” Erich Ippen, John Lindner and W. L. Ditto, J. Stat. Phys. 70, 437 (1993).

1992

“Controlling Cardiac Chaos,” A. Garfinkel, M. L. Spano, W. L. Ditto and J. Weiss, Science 257, 1230 (1992).
“Experimental observation of stochastic resonance in a magnetoelastic ribbon,” M. L. Spano, M. Wun-Fogle and W. L. Ditto, Phys. Rev. A 46, 5253 (1992).
“Using the sensitive dependence of chaos (the “butterfly effect”) to direct trajectories in an experimental chaotic system, T. Shinbrot, W. L. Ditto, C. Grebogi, E. Ott, Mark Spano and J. A. Yorke, Phys. Rev. Lett. 68, 2863 (1992).

1991

“Exploitation of chaos for Active control: an experiment,” M. L. Spano, W. L. Ditto and S. N. Rauseo, J. of Intell. Mater. Syst. and Struct. 2, 482 (1991).
“Experimental confirmation of the scaling theory for noise-induced crises,” J. C. Sommerer, W. L. Ditto, C. Grebogi, E. Ott and M. L. Spano, Phys. Rev. Lett. 66, 1947 (1991).
“Dynamics of a two-frequency parametrically driven duffing oscillator,” J. Heagy and W. L. Ditto, J. Nonlin. Sci. 1, 423 (1991).

1990

“Experimental control of chaos,” W. L. Ditto, S. N. Rauseo and M. L. Spano, Phys. Rev. Lett. 65, 3211 (1990).
“Experimental observation of a strange nonchaotic attractor,” W. L. Ditto, M. L. Spano, H. T. Savage, S. N. Rauseo, J. Heagy and E. Ott, Phys. Rev. Lett. 65, 533 (1990).
“Generation of exact solutions to nonlinear differential equations using continued fractions,” W. L. Ditto and T. Pickett, Il Nuovo Cimento, 105B, 429 (1990).
“Crisis-induced intermittency in a parametrically driven, gravitationally buckled, magnetoelastic amorphous ribbon experiment,” H. T. Savage, W. L. Ditto, P. A. Braza, M. L. Spano, S. N. Rauseo and W. C. Spring III, J. Appl. Phys. 67, 5619 (1990).

1989

“Experimental observation of crisis-induced intermittency and its critical exponent,” W. L. Ditto, S. Rauseo, R. Cawley, C. Grebogi, G.-H. Hsu, E. Kostelich, E. Ott, H. T. Savage, R. Segnan, M. L. Spano and J. A. Yorke, Phys. Rev. Lett. 63, 923 (1989).
“Nonperturbative solutions of nonlinear differential equations using continued fractions,” W. L. Ditto and T. Pickett, J. Math. Phys. 29, (1988).