William Lawrence Ditto

Solving quantum billiard eigenvalue problems with physics-informed machine learning

AIP ADVANCES, 13(8).

Reconfigurable Noise-Assisted Logic Gates Exploiting Nonlinear Transformation of Input Signals

PHYSICAL REVIEW APPLIED, 18(1).

Construction of logic gates exploiting resonance phenomena in nonlinear systems

Forecasting Hamiltonian dynamics without canonical coordinates

NONLINEAR DYNAMICS, 103(2), 1553–1562.

Harnessing tipping points for logic operations

EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 230(16-17), 3403–3409.

Negotiating the separatrix with machine learning

IEICE NONLINEAR THEORY AND ITS APPLICATIONS, 12(2), 134–142.

Closing editorial: Forecasting of epidemic spreading: lessons learned from the current covid-19 pandemic

Boccaletti, S., Mindlin, G., Ditto, W., & Atangana, A. (2020, October). CHAOS SOLITONS & FRACTALS, Vol. 139.

Nonlinear dynamics based machine learning: Utilizing dynamics-based flexibility of nonlinear circuits to implement different functions

PLoS ONE, 15(3), e0228534.

Physics-enhanced neural networks learn order and chaos

Physical Review E, 101(6), 062207.

Chaotic attractor hopping yields logic operations

PLOS ONE, 13(12).

An Integrated Circuit Design for a Dynamics-Based Reconfigurable Logic Block

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 64(6), 715–719.

Detecting and characterizing high-frequency oscillations in epilepsy: a case study of big data analysis

Royal Society Open Science, 4(1), 160741.

Dynamical coupling outperforms "majority wins" in organizing redundancy to mitigate noise

NONLINEAR DYNAMICS, 87(1), 605–615.

Implementing Boolean Functions in Hybrid Digital-Analog Systems

PHYSICAL REVIEW APPLIED, 7(4).

Nonlinear dynamics and chaos for fleixble, reconfigurable computing

2017 IEEE International Conference on Rebooting Computing (ICRC), 282–289.

Nonlinear dynamics as an engine of computation

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 375(2088), 20160222.

Nonlinear dynamics-based adaptive hardware

2017 nasa/esa conference on adaptive hardware and systems (ahs), 200–205.

Present and the Future of Chaos Computing

In Lecture Notes in Networks and Systems (pp. 101–109).

Present and the future of chaos computing

Proceedings of the 4th international conference on applications in nonlinear dynamics (icand 2016), 6, 101–109.

Spectral Scaling Analysis of RR Lyrae Stars in OGLE-IV Galactic Bulge Fields

In Lecture Notes in Networks and Systems (pp. 65–76).

Spectral scaling analysis of RR Lyrae stars in OGLE-IV Galactic Bulge Fields

Proceedings of the 4th international conference on applications in nonlinear dynamics (icand 2016), 6, 65–76.

A Simple Nonlinear Circuit Contains an Infinite Number of Functions

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 63(10), 944–948.

Reduction of Additive Colored Noise Using Coupled Dynamics

International Journal of Bifurcation and Chaos, 26(01), 1650005.

Role of network topology in noise reduction using coupled dynamics

NONLINEAR DYNAMICS, 84(3), 1805–1812.

Simple nonlinear models suggest variable star universality

Physica D: Nonlinear Phenomena, 316, 16–22.

Superlinearly scalable noise robustness of redundant coupled dynamical systems

PHYSICAL REVIEW E, 93(3).

Coupling reduces noise: Applying dynamical coupling to reduce local white additive noise

International Journal of Bifurcation and Chaos, 25(3).

Exploiting chaos for applications

Chaos: An Interdisciplinary Journal of Nonlinear Science, 25(9), 097615.

Nonlinear dynamics based digital logic and circuits

Frontiers in Computational Neuroscience, 9(MAY).

Strange nonchaotic stars

Physical Review Letters, 114(5).

Logic from Dynamics

In H. Leung (Ed.), Chaotic Signal Processing (pp. 102–127). Beijing: Higher Education Press.

Noise tolerant spatiotemporal chaos computing

Chaos: An Interdisciplinary Journal of Nonlinear Science, 24(4), 043110.

Pulsation Period Variations in the RRc Lyrae Star KIC 5520878

The Astrophysical Journal, 798(1), 42.

Synthetic Computation: Chaos Computing, Logical Stochastic Resonance, and Adaptive Computing

In V. A. Palacios & P. Longhini (Eds.), International Conference on Theory and Application in Nonlinear Dynamics (ICAND 2012). Understanding Complex Systems (pp. 51–65).

Watch your step: Integrating nonlinear dynamical flows by stepping through space and time

International Journal of Bifurcation and Chaos, 24(11).

Phase shift in the 24-hour rhythm of hippocampal EEG spiking activity in a rat model of temporal lobe epilepsy

Journal of Neurophysiology, 110(5), 1070–1086.

Chaos computing in terms of periodic orbits

Physical Review E, 84(3).

Chaos for Speech Coding and Production

In Advances in Nonlinear Speech Processing: Vol. 7015 LNAI (pp. 270–278).

Circadian Regulation of Neural Excitability in Temporal Lobe Epilepsy

In Epilepsy (pp. 289–306).

Creating morphable logic gates using logical stochastic resonance in an engineered gene network

EPL (Europhysics Letters), 93(1), 18001.

Logical stochastic resonance with correlated internal and external noises in a synthetic biological logic block

Chaos: An Interdisciplinary Journal of Nonlinear Science, 21(4), 047521.

Noise enhanced logic gates

AIP Conference Proceedings, 1339, 67–77.

Noise-aided computation within a synthetic gene network through morphable and robust logic gates

Physical Review E, 83(4), 041909.

Reprogrammable biological logic gate that exploits noise

2011 IEEE Biomedical Circuits and Systems Conference, BioCAS 2011, 337–340.

Stochastic amplification of calcium-activated potassium currents in Ca2+ microdomains

Journal of Computational Neuroscience, 31(3), 647–666.

Unstable periodic orbits and noise in chaos computing

Chaos: An Interdisciplinary Journal of Nonlinear Science, 21(4), 047520.

A Noise-Assisted Reprogrammable Nanomechanical Logic Gate

Nano Letters, 10(4), 1168–1171.

Chaogates: Morphing logic gates that exploit dynamical patterns

Chaos: An Interdisciplinary Journal of Nonlinear Science, 20(3), 037107.

Effects of phase on homeostatic spike rates

Biological Cybernetics, 102(5), 427–440.

Granger causality relationships between local field potentials in an animal model of temporal lobe epilepsy

Journal of Neuroscience Methods, 189(1), 121–129.

Introduction to Focus Issue: Intrinsic and Designed Computation: Information Processing in Dynamical Systems—Beyond the Digital Hegemony

Chaos: An Interdisciplinary Journal of Nonlinear Science, 20(3), 037101.

Logical stochastic resonance

Chemical Physics, 375(2-3), 424–434.

Support vector machines for seizure detection in an animal model of chronic epilepsy

Journal of Neural Engineering, 7(3), 036001.

Synchrony with shunting inhibition in a feedforward inhibitory network

Journal of Computational Neuroscience, 28(2), 305–321.

The Chaos Computing Paradigm

In Reviews of Nonlinear Dynamics and Complexity (Vol. 3, pp. 1–35).

A simple nonlinear dynamical computing device

Chaos, Solitons and Fractals, 42(2), 809–819.

Analysis of high-resolution microelectrode EEG recordings in an animal model of spontaneous lmbic seizures

International Journal of Bifurcation and Chaos, 19(2), 605–617.

Circadian control of neural excitability in an animal model of temporal lobe epilepsy

Neuroscience Letters, 455(2), 145–149.

Construction of a chaotic computer chip

In Understanding Complex Systems (Vol. 2009, pp. 3–13).

Logic from nonlinear dynamical evolution

Physics Letters, Section A: General, Atomic and Solid State Physics, 373(15), 1346–1351.

Predicting synchrony in heterogeneous pulse coupled oscillators

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 80(2).

Quantitative Sleep Monitoring

In S. Tong & N. V. Thakor (Eds.), Quantitative EEG Analysis Methods and Applications. Norwood, MA, USA: Artech House, Inc.

Realization of reliable and flexible logic gates using noisy nonlinear circuits

Applied Physics Letters, 95(19), 194102.

Reconfigurable logic blocks based on a chaotic Chua circuit

Chaos, Solitons & Fractals, 41(1), 233–244.

Reliable logic circuit elements that exploit nonlinearity in the presence of a noise floor

Physical Review Letters, 102(10).

Robust control of spatiotemporal chaos in coupled map lattices

International Journal of Bifurcation and Chaos, 19(6), 2031–2042.

Seizure Detection and Monitoring

In L. J. Greenfield, J. D. Geyer, & P. R. Carney (Eds.), Reading EEGs: A Practical Approach (1st ed.). Philadelphia: Lippincott-Williams & Wilkins, Inc.

Temporal lobe epilepsy: Anatomical and effective connectivity

IEEE Transactions on Neural Systems and Rehabilitation Engineering, 17(3), 214–223.

Chaos computing: Ideas and implementations

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 366(1865), 653–664.

Effective and Anatomical Connectivity in a Rat Model of Spontaneous Limbic Seizure

In Seizure Prediction in Epilepsy: From Basic Mechanisms to Clinical Applications (pp. 45–59).

Exploiting nonlinear dynamics to store and process information

International Journal of Bifurcation and Chaos, 18(5), 1551–1559.

Non-parametric early seizure detection in an animal model of temporal lobe epilepsy

Journal of Neural Engineering, 5(1), 85–98.

Spike timing dependent plasticity promotes synchrony of inhibitory networks in the presence of heterogeneity

Journal of Computational Neuroscience, 25(2), 262–281.

Temporal spike pattern learning

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 78(3).

Dynamic transmurality: Cardiac optical mapping reveals waves travel across transmural ablation lines

International Journal of Bifurcation and Chaos, 17(9), 3229–3234.

Early seizure detection in an animal model of temporal lobe epilepsy

AIP Conference Proceedings, 953, 292–307.

Fault tolerance and detection in chaotic computers

International Journal of Bifurcation and Chaos, 17(6), 1955–1968.

Introduction: Cardiovascular physics

Chaos, 17(1).

Coherence analysis over the latent period of epileptogenesis reveal that high-frequency communication is increased across hemispheres in an animal model of limbic epilepsy

Annual International Conference of the IEEE Engineering in Medicine and Biology - Proceedings, 1154–1156.

Coherence analysis over the latent period of epileptogenesis reveal that high-frequency communication is increased across hemispheres in an animal model of limbic epilepsy.

Conference Proceedings : ... Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE Engineering in Medicine and Biology Society. Conference, 1154–1156. http://www.scopus.com/inward/record.url?eid=2-s2.0-84903876821&partnerID=MN8TOARS

Detection of high frequency oscillations with Teager energy in an animal model of limbic epilepsy.

Conference Proceedings : ... Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE Engineering in Medicine and Biology Society. Conference, 2578–2580. http://www.scopus.com/inward/record.url?eid=2-s2.0-84903856887&partnerID=MN8TOARS

Detection of high frequency oscillations with teager energy in an animal model of limbic epilepsy

Annual International Conference of the IEEE Engineering in Medicine and Biology - Proceedings, 2578–2580.

Evolving into epilepsy: Multiscale electrophysiological analysis and imaging in an animal model

Experimental Neurology, 198(1), 31–47.

Exploiting chaos for computation

IEEE Asia-Pacific Conference on Circuits and Systems, Proceedings, APCCAS, 1835–1838.

Exploiting nonlinear dynamics to search for the existence of matches in a database

IEEE Asia-Pacific Conference on Circuits and Systems, Proceedings, APCCAS, 1843–1846.

Exploiting the controlled responses of chaotic elements to design configurable hardware

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 364(1846), 2483–2494.

Pre-ictal entropy analysis of microwire data from an animal model of limbic epilepsy

Annual International Conference of the IEEE Engineering in Medicine and Biology - Proceedings, 1605–1607.

Pre-ictal entropy analysis of microwire data from an animal model of limbic epilepsy.

Conference Proceedings : ... Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE Engineering in Medicine and Biology Society. Conference, 1605–1607. http://www.scopus.com/inward/record.url?eid=2-s2.0-84903863001&partnerID=MN8TOARS

Reconfigurable logic element using a chaotic circuit

IEEE Asia-Pacific Conference on Circuits and Systems, Proceedings, APCCAS, 1839–1842.

Using recurrence quantification analysis determinism for noise removal in cardiac optical mapping

IEEE Transactions on Biomedical Engineering, 53(4), 767–770.

Construction of a reconfigurable dynamic logic cell

Pramana, 64(3), 433–441.

Nonlinear analysis of cardiac optical mapping data reveals ordered period in defibrillation failure

Computers in Cardiology, 32, 551–554.

Chaos in Neural Systems: From Epilepsy to Neurocomputing

Annual International Conference of the IEEE Engineering in Medicine and Biology - Proceedings, 4, 3830–3833. http://www.scopus.com/inward/record.url?eid=2-s2.0-1542360051&partnerID=MN8TOARS

Implementation of NOR gate by a chaotic Chua's circuit

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 13(9), 2669–2672.

Nonlinear Analysis of Failed Ventricular Defibrillation

Annual International Conference of the IEEE Engineering in Medicine and Biology - Proceedings, 1, 196–199. http://www.scopus.com/inward/record.url?eid=2-s2.0-1542362570&partnerID=MN8TOARS

Realization of the fundamental NOR gate using a chaotic circuit

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 68(1 2), 162051–162055. http://www.scopus.com/inward/record.url?eid=2-s2.0-17144383290&partnerID=MN8TOARS

Unstable Periodic Orbits (UPOs) and Chaos Control in Neural Systems

In Epilepsy as a Dynamic Disease (pp. 297–322).

Voltage-sensitive optical mapping for atrial fibrillation ablation treatment

Annual International Conference of the IEEE Engineering in Medicine and Biology - Proceedings, 1, 145–147. http://www.scopus.com/inward/record.url?eid=2-s2.0-1542332789&partnerID=MN8TOARS

Chaos computing: Implementation of fundamental logical gates by chaotic elements

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 49(11), 1629–1633.

Flexible parallel implementation of logic gates using chaotic elements

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 65(3).

Keeping in sync

[Review of Synchronization: A universal concept in Nonlinear sciences, by A. Pikovsky, M. Rosenblum, & J. Kurths]. Nature, 415(6873), 736–737.

Nonlinear antenna technology

Proceedings of the IEEE, 90(5), 882–896.

Parallel computing with extended dynamical systems

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 65(3).

Reply to “Comment on ‘Monostable array-enhanced stochastic resonance’ ”

Reply to “Comment on ‘Monostable array-enhanced stochastic resonance’ .” Physical Review E, 66(1).

Spatio-temporal nonlinear dynamics: a new beginning

In J. Hogan, A. R. Krauskopf, M. di Bernado, R. E. Wilson, H. M. Osinga, M. E. Homer, & A. R. Champneys (Eds.), Nonlinear Dynamics and Chaos: Where do we go from here?

Controlling neuronal spikes

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 63(5 II), 562091–562098. http://www.scopus.com/inward/record.url?eid=2-s2.0-0035333398&partnerID=MN8TOARS

Monostable array-enhanced stochastic resonance

Physical Review E, 63(5), 511071–511076.

Noninvasive control of stochastic resonance

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 63(4 I), 411071–411078. http://www.scopus.com/inward/record.url?eid=2-s2.0-0035304907&partnerID=MN8TOARS

Chaos at 35,000 feet

IEEE Instrumentation and Measurement Magazine, 3(2), 18–21.

Control of human atrial fibrillation

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 10(3), 593–601. http://www.scopus.com/inward/record.url?eid=2-s2.0-0000156558&partnerID=MN8TOARS

Electromagnetic fields and biological tissues: from nonlinear response to chaos control

In J. Walleczek (Ed.), Self-Organized Biological Dynamics and Nonlinear Control (pp. 341–373).

Noise sustained propagation: Local versus global noise

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 61(5 A), 4954–4961. http://www.scopus.com/inward/record.url?eid=2-s2.0-0001368498&partnerID=MN8TOARS

Pulse Enhanced Stochastic Resonance

Physics Letters A, 277(1), 13–17.

Theory of controlling stochastic resonance

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 62(1 A), 317–327.

Chaos Control in Biological Systems

In H. G. Schuster (Ed.), Handbook of Chaos Control.

Chaos at 35,000 feet

Industrial Physicist, 5(4), 27–29.

Computing with distributed chaos

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 60(1), 363–377. http://www.scopus.com/inward/record.url?eid=2-s2.0-18144376447&partnerID=MN8TOARS

Controlling stochastic resonance

Physical Review Letters, 82(23), 4574–4577. http://www.scopus.com/inward/record.url?eid=2-s2.0-0000617726&partnerID=MN8TOARS

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

Chaos, 8(1), 94–102. http://www.scopus.com/inward/record.url?eid=2-s2.0-0346207529&partnerID=MN8TOARS

Can neurons distinguish chaos from noise?

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 8(4), 767–781. http://www.scopus.com/inward/record.url?eid=2-s2.0-0040944349&partnerID=MN8TOARS

Dynamics based computation

Physical Review Letters, 81(10), 2156–2159. http://www.scopus.com/inward/record.url?eid=2-s2.0-0001266470&partnerID=MN8TOARS

Noise Enhance Propagation

Physical Review Letters, 81, 5048.