J. Nichols

Mark Seaver, C. J. Nichols, Jonathan M Nichols, 2007, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

Optimal bispectral detection of weak, quadratic nonlinearities in structural systems

Jonathan M. Nichols, C. C. Olson, J. Nichols, 2010 .

Modeling and detection of delamination in a composite beam: A polyspectral approach

Jonathan M. Nichols, Kevin D. Murphy, K. D. Murphy, 2010 .

The trispectrum for Gaussian driven, multiple degree-of-freedom, non-linear structures

Piergiovanni Marzocca, Attilio Milanese, J. M. Nichols, 2009 .

Second-order spectra for quadratic nonlinear systems by Volterra functional series: Analytical description and numerical simulation

Jonathan M. Nichols, Piergiovanni Marzocca, Mark Seaver, 2008 .

Stochastic identification of imperfections in a submerged shell structure

J. Nichols, C. Earls, H. Reed, 2014 .

Using Ambient Vibrations to Detect Loosening of a Composite-to-Metal Bolted Joint in the Presence of Strong Temperature Fluctuations

Jonathan M. Nichols, Mark Seaver, S. T. Trickey, 2007 .

Modeling and identification of uniform corrosion damage on a thin plate using a Bayesian framework

Jonathan M. Nichols, Kevin D. Murphy, Edward Z. Moore, 2015 .

A Bayesian Approach to Identifying Structural Nonlinearity using Free-Decay Response: Application to Damage Detection in Composites

K. D. Murphy, W. Link, J. Nichols, 2010 .

A low-dimensional model for delamination in a laterally loaded composite beam: Theory and experiment

K. D. Murphy, J. Nichols, 2009 .

Using Optimal Transport Theory to Estimate Transition Probabilities in Metapopulation Dynamics

J. Nichols, J. Nichols, J. A. Spendelow, 2017 .

Passive shortwave infrared broadband and hyperspectral imaging in a maritime environment

Jonathan M. Nichols, K. P. Judd, K. Peter Judd, 2012 .

Practical Evaluation of Invariant Measures for the Chaotic Response of a Two-Frequency Excited Mechanical Oscillator

Jonathan M. Nichols, Lawrence N. Virgin, J. Nichols, 2001 .

Parameter estimation for chaotic systems using a geometric approach: theory and experiment

J. Nichols, L. Virgin, C. Olson, 2012, Nonlinear Dynamics.

The Influence of Low Energy Impacts on the Static and Dynamic Response of a Foam Core Composite Wing

J. Nichols, M. Seaver, S. Trickey, 2009 .

Characterization of the AWARE 10 two-gigapixel wide-field-of-view visible imager.

M E Gehm, K. P. Judd, J M Nichols, 2014, Applied optics.

A unified approach to attractor reconstruction.

T. Carroll, L. Pecora, J. Nichols, 2005, Chaos.

Manifold learning techniques for unsupervised anomaly detection

Jonathan M. Nichols, Colin C. Olson, K. P. Judd, 2018, Expert Syst. Appl..

A method for testing driven dynamical systems with evolved excitations and its application to phase-locked loops

Jonathan M. Nichols, Colin C. Olson, J. V. Michalowicz, 2009, 2009 IEEE Congress on Evolutionary Computation.

Compressed sensing for practical optical imaging systems: A tutorial

R. M. Willett, R. F. Marcia, J. Nichols, 2011, IEEE Photonics Conference 2012.

Intelligent Data Fusion Using Sparse Representations and Nonlinear Dimensionality Reduction

Jonathan M. Nichols, J. V. Michalowicz, Frank Bucholtz, 2009 .

Inferences About Coupling from Ecological Surveillance Monitoring: Approaches Based on Nonlinear Dynamics and Information Theory

Jonathan M. Nichols, Evan G. Cooch, L. J. Moniz, 2011, Towards an Information Theory of Complex Networks.

Application of information theory methods to food web reconstruction

Jonathan M. Nichols, James D. Nichols, Evan G. Cooch, 2007 .

A multivariate, attractor-based approach to structural health monitoring

Michael D. Todd, Jonathan M. Nichols, L. M. Pecora, 2005 .

Dynamical Assessment of Structural Damage Using the Continuity Statistic

Louis M. Pecora, Jonathan M. Nichols, Jeannette R. Wait, 2004 .

Health monitoring of an aeroelastic system with a freeplay nonlinearity

Jonathan M. Nichols, Mark Seaver, Stephen T. Trickey, 2004, SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring.

Using chaotic interrogation and attractor nonlinear cross-prediction error to detect fastener preload loss in an aluminum frame.

M D Todd, K Erickson, L Chang, 2004, Chaos.

Use of data-driven phase space models in assessing the strength of a bolted connection in a composite beam

Michael D. Todd, Jonathan M. Nichols, Lawrence N. Virgin, 2004 .

Controlling system dimension: A class of real systems that obey the Kaplan–Yorke conjecture

J M Nichols, L M Pecora, M D Todd, 2003, Proceedings of the National Academy of Sciences of the United States of America.

Excitation considerations for attractor property analysis in vibration-based damage detection

Michael D. Todd, Jonathan M. Nichols, Mark Seaver, 2003, SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring.

Using state space predictive modeling with chaotic interrogation in detecting joint preload loss in a frame structure experiment

Michael D. Todd, Jonathan M. Nichols, Jeannette R. Wait, 2003 .

Structural health monitoring of offshore structures using ambient excitation

Jonathan M. Nichols, J. Nichols, 2003 .

Range performance of the DARPA AWARE wide field-of-view visible imager.

K. P. Judd, J M Nichols, J R Waterman, 2016, Applied optics.

Analytical expression for the average ensquared energy.

J. Nichols, C. Miller, 2015, Journal of the Optical Society of America. A, Optics, image science, and vision.

Automated detection of watercraft in short-wave infrared imagery

Jonathan M. Nichols, Colin C. Olson, K. P. Judd, 2013 .

Coupling Evolutionary Algorithms With Nonlinear Dynamical Systems: An Efficient Tool for Excitation Design and Optimization

Jonathan M. Nichols, Colin C. Olson, Frank Bucholtz, 2011, IEEE Transactions on Evolutionary Computation.

An optimal nonlinear filter for detecting non-normality in a signal using the bicoherence

Jonathan M. Nichols, C. C. Olson, J. V. Michalowicz, 2009, Defense + Commercial Sensing.

Maximum empirical likelihood estimation of time delay in independently and identically distributed noise

Gustavo K. Rohde, Jonathan M. Nichols, Frank Bucholtz, 2014, IET Signal Process..

Calculation of Entropy for a Sinusoid with Beta-Distributed Phase

Jonathan M. Nichols, Colin C. Olson, Frank Bucholtz, 2009, Entropy.

Calculation of Entropy and Mutual Information for Sinusoids

Jonathan M. Nichols, J. V. Michalowicz, Frank Bucholtz, 2009 .

On the Potential Use of Evolutionary Algorithms for Electro-Optic System Design

Jonathan M. Nichols, C. C. Olson, Frank Bucholtz, 2011 .

Radon Cumulative Distribution Transform Subspace Modeling for Image Classification

A. Aldroubi, G. Rohde, S. Kolouri, 2020, Journal of Mathematical Imaging and Vision.

High-performance fiber optic systems for damage detection and structural health monitoring

Michael D. Todd, Jonathan M. Nichols, L. M. Pecora, 2004, SPIE Optics East.

Use of chaotic excitation and attractor property analysis in structural health monitoring.

J M Nichols, M D Todd, M Seaver, 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

Linearized Transfer Entropy for Continuous Second Order Systems

Jonathan M. Nichols, Frank Bucholtz, Joseph V. Michalowicz, 2013, Entropy.

Optical Signatures and Detection Strategy for a Finned Bioinspired Unmanned Undersea Vehicle

Jonathan M. Nichols, K. P. Judd, K. Peter Judd, 2018, IEEE Journal of Oceanic Engineering.

Parametric Signal Estimation Using the Cumulative Distribution Transform

Gustavo K. Rohde, Jonathan M. Nichols, Abu Hasnat Mohammad Rubaiyat, 2020, IEEE Transactions on Signal Processing.

The Bispectrum and Bicoherence for Quadratically Nonlinear Systems Subject to Non-Gaussian Inputs

Jonathan M. Nichols, Colin C. Olson, Frank Bucholtz, 2009, IEEE Transactions on Signal Processing.

Reducing fatigue damage for ships in transit through structured decision making

Jonathan M. Nichols, Paul L. Fackler, Krishna Pacifici, 2014 .

Studying Biodiversity: Is a New Paradigm Really Needed?

Jonathan M. Nichols, James D. Nichols, Evan G. Cooch, 2012 .

Nonlinear Features for SHM Applications

Jonathan M. Nichols, Michael D. Todd, M. Todd, 2009 .

Calculation of Differential Entropy for a Mixed Gaussian Distribution

Jonathan M. Nichols, Frank Bucholtz, Joseph V. Michalowicz, 2008, Entropy.

A simple algorithm for generating spectrally colored, non-Gaussian signals

Jonathan M. Nichols, C. C. Olson, J. V. Michalowicz, 2010 .

Optimized sensor placement for damage parameter estimation: Experimental results for a cracked plate

Jonathan M. Nichols, Kevin D. Murphy, Edward Z. Moore, 2013 .

The Effects of Crack Size on Crack Identification in a Freely Vibrating Plate Using Bayesian Parameter Estimation

Jonathan M. Nichols, Kevin D. Murphy, Edward Z. Moore, 2010 .

Beating Nyquist with light: a compressively sampled photonic link.

J M Nichols, F Bucholtz, F. Bucholtz, 2011, Optics express.

An Improved GLRT for Image-Based Point Source Detection and Estimation

Jonathan M. Nichols, J. Nichols, 2017, IEEE Transactions on Aerospace and Electronic Systems.

Model-based SHM: Demonstration of identification of a crack in a thin plate using free vibration data

Jonathan M. Nichols, Kevin D. Murphy, Edward Z. Moore, 2012 .

System Identification Using the Signed Cumulative Distribution Transform In Structural Health Monitoring Applications

Christina J. Naify, J. Nichols, M. Haberman, 2023, arXiv.org.

Modeling and Estimation of Structural Damage: Nichols/Modeling and Estimation of Structural Damage

K. D. Murphy, J. Nichols, 2016 .

Detecting Damage-Induced Nonlinearity

Jonathan M. Nichols, Kevin D. Murphy, K. D. Murphy, 2016 .

An optimal transport model for imaging in atmospheric turbulence

Gustavo K. Rohde, Jonathan M. Nichols, Timothy Doster, 2017, 1705.01050.

Vibration-based damage assessment using local attractor variance

Michael D. Todd, Louis M. Pecora, Jonathan M. Nichols, 2001, SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring.

Experimental demonstration of local attractor variance as a damage indication feature

Charles R. Farrar, Jonathan M. Nichols, Matthew T. Bement, 2002 .

Frequency Distortion of Second- and Third-Order Phase-Locked Loop Systems Using a Volterra-Series Approximation

Jonathan M. Nichols, J. Nichols, 2009, IEEE Transactions on Circuits and Systems I: Regular Papers.

Accounting for uncertainty in location when detecting point sources using infrared focal plane arrays

J. R. Waterman, J. M. Nichols, J. Nichols, 2016 .

EMD AND INSTANTANEOUS PHASE DETECTION OF STRUCTURAL DAMAGE

Darryll J. Pines, Jonathan M. Nichols, Liming W. Salvino, 2005 .

Signal processing and damage detection in a frame structure excited by chaotic input force

Michael D. Todd, Darryll J. Pines, Jonathan M. Nichols, 2003, SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring.

De-multiplexing vortex modes in optical communications using transport-based pattern recognition.

Timothy Doster, Liam Cattell, Se Rim Park, 2018, Optics express.

On the use of the auto-bispectral density for detecting quadratic nonlinearity in structural systems

Jonathan M. Nichols, Piergiovanni Marzocca, Attilio Milanese, 2008 .

Nonlinearity detection in multiple degree-of-freedom systems using the auto-bispectral density

Jonathan M. Nichols, Pier Marzocca, Attilio Milanese, 2008, SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring.