AnatomyOrganismsAnalytical, Diagnostic and Therapeutic Techniques and EquipmentPsychiatry and PsychologyPhenomena and ProcessesDisciplines and OccupationsInformation ScienceHealth Care
Nonlinear DynamicsBasilar MembraneModels, NeurologicalContrast SensitivityPhotic StimulationAcoustic StimulationCatsGeniculate BodiesVisual PathwaysComputer SimulationAction PotentialsAuditory CortexModels, BiologicalVisual CortexNeuronsMathematicsAlgorithmsPsychophysicsSensory ThresholdsNeural InhibitionVisual PerceptionSignal Processing, Computer-AssistedModels, TheoreticalLinear ModelsElectrophysiologyTime Factors
UltrafastLipschitzWaveguideGeometricEquationsTheoreticalLaplacianNeuralComplexityNonlinear termsFiberAbstractWavesSearchOpticalClassFrequencySignificantModelProblemsExamplesJournalOptical nonlinearitiesEquationsNonlinear SchrodinSkewnessMEASUREMENTSEmpiricalClimateSpeechContentExperimentalIdentificationSystemsLinearSolutionsImportantUniversityEngineeringStrongWaveSuiteDegreeComplexResponseTechniquesEffects
Ultrafast1
  • The scientists used a compact 100 um-long device, to measure an ultrafast nonlinear spectral broadening of UV pulses with a nonlinearity 1000 times larger than that observed in common UV nonlinear materials, which is comparable to non-UV polariton devices. (phys.org)
Lipschitz2
  • For these problem classes, we present, analyze, and test algorithms that solve mixed-integer problems with only Lipschitz continuous nonlinearities. (optimization-online.org)
  • where the dispersion L is a negative-order Fourier multiplier whose symbol is of KdV type at low frequencies and has integrable Fourier inverse K and the nonlinearity n is inhomogeneous, locally Lipschitz and of superlinear growth at the origin. (lu.se)
Waveguide1
  • Now, an international team of scientists including EPFL have achieved giant nonlinearity of UV hybrid light-matter states ("exciton-polaritons") up to room temperature in a waveguide made of AlInGaN, a wide bandgap semiconductor material behind the solid-state lighting technology (e.g. white LEDs) and blue laser diodes. (phys.org)
Geometric2
  • Bal zs Bank, Physics-based Sound Synthesis of String Instruments Including Geometric Nonlinearities , Ph.D. thesis, Budapest Univeristy of Technology and Economics, Hungary, p. 142, Feb. 2006. (bme.hu)
  • Then, the geometric nonlinearities of strings are investigated in detail, with a particular emphasis on the nonlinear generation of longitudinal motion. (bme.hu)
Equations3
  • The new results we obtain are of significance because the equations we study allow an infinite number of nonlinear terms and even a continuum of nonlinearities. (projecteuclid.org)
  • Haidong Liu, Cuiqin Ma "Oscillation Criteria for Second-Order Neutral Delay Dynamic Equations with Nonlinearities Given by Riemann-Stieltjes Integrals," Abstract and Applied Analysis, Abstr. (projecteuclid.org)
  • 1] M. Ehrnström, M. D. Groves, and E. Wahlén, "On the existence and stability of solitary-wave solutions to a class of evolution equations of Whitham type," Nonlinearity, vol. 25, no. 10, pp. 2903- 2936, 2012. (lu.se)
Theoretical1
  • We study how microring resonators (MRRs) harness these nonlinearities, with theoretical model and experimental validation. (princeton.edu)
Laplacian1
  • Paper D shows how the p-Laplacian eigenproblem for spectral clustering can be formulated as specific type of NEPv, which we call a generalized nonlinear eigenproblem with one eigenvector nonlinearity or a generalized NEPv1. (kth.se)
Neural1
  • We present a neuromorphic current mode implementation of a spiking neural classifier with lumped square law dendritic nonlinearity. (mit.edu)
Complexity1
  • However, unlike EEG dimensional complexity, EEG nonlinearity (difference between original and surrogate data) was not affected by smoking. (nih.gov)
Nonlinear terms1
  • In this thesis, we focus on numerical algorithms for a specific type of such a problem which is called a nonlinear eigenproblem with eigenvector nonlinearity (NEPv), where as the name suggests, the nonlinear terms depend on the eigenvectors. (kth.se)
Fiber1
  • The performance of higher order modulation formats such as 16-quadrature amplitude modulation (QAM) coherent optical communication systems are limited due to several linear and nonlinear impairments such as phase noise, frequency offset, chromatic dispersion, and fiber nonlinearities. (dcu.ie)
Abstract1
  • with Critical Nonlinearity," Abstract and Applied Analysis, Abstr. (projecteuclid.org)
Waves2
  • The nonlinearity of surface gravity waves refers to their deviations from a sinusoidal shape. (wikipedia.org)
  • For these extreme events it is assumed that nonlinearity is so large that the slope of the wind waves has reached a limiting steepness. (ecmwf.int)
Search1
  • A search for thresholds and other nonlinearities in the relationship between hexavalent chromium and lung cancer. (cdc.gov)
Optical3
  • A z -scan technique was used to analyse the optical nonlinearity of a graphene/Bi 2 Te 3 heterostructure under pulsed laser excitation at 800 nm. (rsc.org)
  • Our work provides an understanding of the optical nonlinearity evolution and a scaling guide for quality solid-state lasers. (rsc.org)
  • All-optical devices can exploit a suite of nonlinearities in silicon photonics. (princeton.edu)
Class1
  • In Paper C, we show that for a certain class of NEPv where the nonlinearity can be written as a sum of rational functions of the eigenvector multiplied by constant coefficient matrices, there is an exact companion linearization that linearizes it to a multiparameter eigenvalue problem (MEP). (kth.se)
Frequency1
  • The periodic nonlinearity resulting from polarization mixing or frequency mixing in heterodyne interferometers was modeled into one expression, which included the initial polarization state of the laser source, the rotational alignment of the beam splitter along with different transmission coefficients for polarization states and the rotational misalignment of a receiving polarizer. (spie.org)
Significant2
  • Evidence of significant nonlinearity in the EEG was obtained, replicating previous results. (nih.gov)
  • Furthermore, a magnetic-field-aligned flow of ITER relevance, i.e for Alfv\'en Mach numbers of the order of 0.01, and the flow shear in combination with the variation of the magnetic field perpendicular to the magnetic surfaces have significant stabilizing effects potentially related to the equilibrium nonlinearity. (aps.org)
Model2
  • Although the three tank system is a classical modelling task described in many publications, this papers focuses on nonlinearities which are present in real system and other differences between ideal mathematical model and real-time system. (actapress.com)
  • Is it true that in order to check for possible nonlinearities in a simple linear regression model like $E[Y_i]=\beta_1+\beta_2X_i$, with $X_i$ scalar and nonrandom. (stackexchange.com)
Problems1
  • Finally the index formula is used to prove a multiplicity result for problems with a multivalued crossing nonlinearity. (aimsciences.org)
Examples2
  • The following examples demonstrate the sound of the different regimes of nonlinearity by varying the parameters of a piano string. (bme.hu)
  • The examples demonstrated by the following wav files are also available as a ppt slide , where the different regimes of nonlinearity are plotted graphically. (bme.hu)
Journal1
  • This cross-country nonlinearity in capital-skill complementarity is consistent with the time-series nonlinearity found by Goldin and Katz [Quarterly Journal of Economics113 (1998) 693] using U.S. manufacturing data, and promotes the view that the phenomenon maybe a transitory one. (ebsco.com)
Optical nonlinearities1
  • Instantaneous optical nonlinearities that are based on the nonlinear tensor of a transparent medium. (timbercon.com)
Equations3
  • In this paper we rigorously derive stochastic amplitude equations for a rather general class of SPDEs with quadratic nonlinearities forced by small additive noise. (projecteuclid.org)
  • We focus on equations with quadratic nonlinearities and give applications to the one-dimensional Burgers' equation and a model from surface growth. (projecteuclid.org)
  • We prove the existence of regular dissipative solutions and global attractors for the 3D Brinkmann-Forchheimer equations with a nonlinearity of arbitrary polynomial growth rate. (aimsciences.org)
Nonlinear Schrodin2
  • In this second of two papers, we present all stationary solutions of the nonlinear Schrodinger equation with box of periodic boundary conditions for the case of attractive nonlinearity. (nist.gov)
  • We also note that in various limits the spectrum of the nonlinear Schrodinger equation reduces to that of the box, the Rydberg, and the harmonic oscillator, the latter being for repulsive nonlinearity, thus including the three most common and important cases of linear quantum mechanics. (nist.gov)
Skewness2
  • In the fields of physical oceanography and coastal engineering, the two categories of nonlinearity are skewness and asymmetry. (wikipedia.org)
  • The Ursell number, named after Fritz Ursell, relates the skewness and asymmetry and quantifies the degree of sea surface elevation nonlinearity. (wikipedia.org)
MEASUREMENTS1
  • Tutorial] The relationship between nonlinear distortion measurements and nonlinearities is addressed- the physical causes for signal distortion in loudspeakers, headphones, microspeakers, and other transducers. (aes.org)
Empirical2
  • This supports our claim that capturing empirically the presence of nonlinearity is important and should be included in our empirical investigations. (syr.edu)
  • Empirical field mapping for gradient nonlinearity correction of multi-site diffusion weighted MRI. (nih.gov)
Climate1
  • We define a model selection parameter, which switches on one of a suite of proposed climate nonlinearities and multidecadal climate feedbacks. (reading.ac.uk)
Speech2
  • In this paper, we focus on the memoryless Hammerstein-type of nonlinearity which is useful to characterize applications of speech and audio reproduction such as, e.g., hands-free systems with loudspeaker distortion. (vde-verlag.de)
  • Some Notes on Nonlinearities of Speech. (uni-trier.de)
Content1
  • en] New methods of correcting dynamic nonlinearities resulting from the multipole content of a synchrotron or transport line are presented. (iaea.org)
Experimental2
  • We study how microring resonators (MRRs)harness these nonlinearities, with theoretical model and experimental validation. (princeton.edu)
  • In this report, several numerical as well as experimental examples are given in which these nonlinearity based signal processing techniques are used in practice to visualize damage features in solids. (ulster.ac.uk)
Identification1
  • To address this issue, we provide an integrative framework for the identification of nonlinearities. (syr.edu)
Systems2
  • The existence of nonlinearity in real systems is recognized since long though. (vde-verlag.de)
  • The second application is an iterative procedure to combine the eigenvalue analysis with a describing function to predict LCOs in systems with both freeplay and friction nonlinearities. (duke.edu)
Linear3
  • We show that, though this is the analog of some of the simplest problems in linear quantum mechanics, nonlinearity introduces new and surprising phenomena in the stationary, one-dimensional, non-linear Schrodinger equation. (nist.gov)
  • We show that, while a linear transfer function emerges at strong coupling, nonlinearities are prominent at finite coupling, both at response onset and close to saturation. (nih.gov)
  • In other words you have both created a LUT of OD values for each linear to T pixel value and you help compensate for slight nonlinearities of the camera. (nih.gov)
Solutions4
  • article{ASNSP_1997_4_25_1-2_197_0, author = {Bourgain, Jean and Wang, W.}, title = {Construction of blowup solutions for the nonlinear {Schr\'odinger} equation with critical nonlinearity}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {197--215}, publisher = {Scuola normale superiore}, volume = {Ser. (numdam.org)
  • M2] F. Merle , Construction of solutions with exact k blow-up points for the Schrödinger equation with critical power nonlinearity , Comm. (numdam.org)
  • MT] F. Merle - Y. Tsutsumi , L2 concentration of blow-up solutions for the nonlinear Schrödingerequation with critical power nonlinearity , J. Diff. (numdam.org)
  • N] H. Nawa , Asymptotic profiles of blow-up solutions of the nonlinear Schrödinger equation with critical power nonlinearity , J. Math. (numdam.org)
Important1
  • Physical considerations and graphical investigations of daily streamflows revealed that air temperature and state of basin storage are the most important sources of nonlinearity in catchments with seasonal snow accumulation. (iwaponline.com)
University2
  • Title: Engineering Nonlinearity Final Showcase Event Dates: 3-4 July 2017 Venue: The Diamond, University of Sheffield Dear Friend of Engineering Nonlinearity! (engineeringnonlinearity.ac.uk)
  • By Geraint Jones The 4th Engineering Nonlinearity half-yearly Meeting took place at the University of Bristol on 9 and 10 January 2017. (engineeringnonlinearity.ac.uk)
Engineering1
Strong1
  • Strong carrier-induced nonlinearities are observed in the transmission characteristics of the III-V/SOI resonator structure. (aip.org)
Wave1
  • To get a sense of that we're dealing with, I've taken the example filter from earlier (cutoff = 1 kHz, Q = 10, nonlinearity = tanh ), and plotted it's harmonic response for a 100 Hz, and a 2kHz sine wave. (medium.com)
Suite1
  • All-optical devices can exploit a suite of nonlinearities in silicon photonics. (princeton.edu)
Degree1
  • Numerous criteria are available to assess the degree of nonlinearity. (vde-verlag.de)
Complex1
  • Such nonlinearities are thought to be fundamental to perform complex computations. (nih.gov)
Response1
  • Intensity-Dependent Optical Response of 2D LTMDs Suspensions: From Thermal to Electronic Nonlinearities. (bvsalud.org)
Techniques1
  • Using simulation techniques characteristic symptoms are identified for each nonlinearity and presented systematically in a guide for loudspeaker diagnostics. (aes.org)
Effects1
  • Nonlinearity of radiation health effects. (nih.gov)