Relevant bibliographies by topics / Nonlinear function

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Nonlinear function'

Author: Grafiati
Published: 28 May 2022
Last updated: 30 July 2025

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Journal articles on the topic "Nonlinear function"

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WU, Jian, Qingwei CAO, and Hui LI. "AN APPROACH FOR MADM PROBLEMS WITH INTERVAL-VALUED INTUITIONISTIC FUZZY SETS BASED ON NONLINEAR FUNCTIONS." Technological and Economic Development of Economy 22, no. 3 (2015): 336–56. http://dx.doi.org/10.3846/20294913.2014.989931.

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This paper investigates an approach for multiple attribute decision making (MADM) problems with interval-valued intuitionistic fuzzy numbers (IVIFNs). To do that, the nonlinear score, accuracy and hesitation functions of IVIFNs are developed based on the normal distribution. The novelty of these nonlinear functions is that they have an additional variance value, which can have more information to rank IVIFNs than Xu and Chen’s score function and Ye’s accuracy function. Based on these nonlinear functions, a ranking method for IVIFNs is proposed. Furthermore, a nonlinearly optimized model is pro
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Baliti, Jamal, Mohamed Hssikou, and Mohammed Alaoui. "Monte Carlo simulation of nonlinear gravity driven Poiseuille–Couette flow in a dilute gas." Monte Carlo Methods and Applications 24, no. 3 (2018): 153–63. http://dx.doi.org/10.1515/mcma-2018-0014.

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Abstract Through the direct simulation Monte Carlo, the Boltzmann equation is solved numerically for dilute hard spheres gas between two infinite parallel plates in relative motion and at the same time the particles feel the action of a uniform body force along the same direction as the moving plate. The study is conducted on the effect of the external force on the nonlinear properties of the Poiseuille–Couette flow. We have been interested in the bulk properties, to inhibit the influence of finite-size effects, while ignoring linear effects like Knudsen boundary layer to investigate the gener
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M Ehteshamul Haque, T. "Theoretical Study of the Nonlinear Response Function in Metal Optics." International Journal of Scientific Engineering and Research 4, no. 10 (2016): 123–24. https://doi.org/10.70729/ijser151042.

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Landolt, O. "Analog nonlinear function synthesis." IEEE Micro 16, no. 5 (1996): 50–52. http://dx.doi.org/10.1109/40.540080.

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Peng, Jiehua, Jiashi Tang, and Zili Chen. "Parameter Identification of Weakly Nonlinear Vibration System in Frequency Domain." Shock and Vibration 11, no. 5-6 (2004): 685–92. http://dx.doi.org/10.1155/2004/634785.

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A new method of identifying parameters of nonlinearly vibrating system in frequency domain is presented in this paper. The problems of parameter identification of the nonlinear dynamic system with nonlinear elastic force or nonlinear damping force are discussed. In the method, the mathematic model of parameter identification is frequency response function. Firstly, by means of perturbation method the frequency response function of weakly nonlinear vibration system is derived. Next, a parameter transformation is made and the frequency response function becomes a linear function of the new param
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Ryabov, Vladimir V. "Criteria for maximal nonlinearity of a function over a finite field." Discrete Mathematics and Applications 33, no. 2 (2023): 117–26. http://dx.doi.org/10.1515/dma-2023-0012.

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Abstract An n-place function over a field with q elements is called maximally nonlinear if it has the greatest nonlinearity among all such functions. Criteria and necessary conditions for maximal nonlinearity are obtained, which imply that, for even n, the maximally nonlinear functions are bent functions, but, for q > 2, the known families of bent functions are not maximally nonlinear. For an arbitrary finite field, a relationship between the Hamming distances from a function to all affine mappings and the Fourier spectra of the nontrivial characters of the function are found.
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Leonessa, Alexander, Wassim M. Haddad, and Vijaysekhar Chellaboina. "Nonlinear robust hierarchical control for nonlinear uncertain systems." Mathematical Problems in Engineering 5, no. 6 (2000): 499–542. http://dx.doi.org/10.1155/s1024123x99001210.

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A nonlinear robust control-system design framework predicated on a hierarchical switching controller architecture parameterized over a set of moving nominal system equilibria is developed. Specifically, using equilibria-dependent Lyapunov functions, a hierarchical nonlinear robust control strategy is developed that robustly stabilizes a given nonlinear system over a prescribed range of system uncertainty by robustly stabilizing a collection of nonlinear controlled uncertain subsystems. The robust switching nonlinear controller architecture is designed based on a generalized (lower semicontinuo
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Chang, R. J. "Maximum Entropy Approach for Stationary Response of Nonlinear Stochastic Oscillators." Journal of Applied Mechanics 58, no. 1 (1991): 266–71. http://dx.doi.org/10.1115/1.2897162.

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A new approach based on the maximum entropy method is developed for deriving the stationary probability density function of a stable nonlinear stochastic system. The technique is implemented by employing the density function with undetermined parameters from the entropy method and solving a set of algebraic moment equations from a nonlinear stochastic system for the unknown parameters. For a wide class of stochastic systems with given density functions, an explicit density function of the stochastic system perturbed by a nonlinear function of states and noises can be obtained. Three nonlinear
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Abulwafa, Essam M., Mohammed A. Abdou, and Aber H. Mahmoud. "The Variational-Iteration Method to Solve the Nonlinear Boltzmann Equation." Zeitschrift für Naturforschung A 63, no. 3-4 (2008): 131–39. http://dx.doi.org/10.1515/zna-2008-3-403.

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The time-dependent nonlinear Boltzmann equation, which describes the time evolution of a single-particle distribution in a dilute gas of particles interacting only through binary collisions, is considered for spatially homogeneous and inhomogeneous media without external force and energy source. The nonlinear Boltzmann equation is converted to a nonlinear partial differential equation for the generating function of the moments of the distribution function. The variational-iteration method derived by He is used to solve the nonlinear differential equation of the generating function. The moments
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Vitanov, Nikolay K., Zlatinka I. Dimitrova, and Kaloyan N. Vitanov. "On the Use of Composite Functions in the Simple Equations Method to Obtain Exact Solutions of Nonlinear Differential Equations." Computation 9, no. 10 (2021): 104. http://dx.doi.org/10.3390/computation9100104.

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We discuss the Simple Equations Method (SEsM) for obtaining exact solutions of a class of nonlinear differential equations containing polynomial nonlinearities. We present an amended version of the methodology, which is based on the use of composite functions. The number of steps of the SEsM was reduced from seven to four in the amended version of the methodology. For the case of nonlinear differential equations with polynomial nonlinearities, SEsM can reduce the solved equations to a system of nonlinear algebraic equations. Each nontrivial solution of this algebraic system leads to an exact s
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Dissertations / Theses on the topic "Nonlinear function"

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Deshpande, Gopikrishna. "Nonlinear and network characterization of brain function using functional MRI." Diss., Atlanta, Ga. : Georgia Institute of Technology, 2007. http://hdl.handle.net/1853/24760.

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Thesis (Ph.D.)--Biomedical Engineering, Georgia Institute of Technology, 2007.<br>Committee Chair: Hu, Xiaoping; Committee Member: Brummer, Marijn; Committee Member: Butera, Robert; Committee Member: Oshinski, John; Committee Member: Sathian, Krish.
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Kytmanov, Aleksandr, Simona Myslivets, and Nikolai Tarkhanov. "Zeta-function of a nonlinear system." Universität Potsdam, 2004. http://opus.kobv.de/ubp/volltexte/2008/2679/.

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Given a system of entire functions in Cn with at most countable set of common zeros, we introduce the concept of zeta-function associated with the system. Under reasonable assumptions on the system, the zeta-function is well defined for all s ∈ Zn with sufficiently large components. Using residue theory we get an integral representation for the zeta-function which allows us to construct an analytic extension of the zeta-function to an infinite cone in Cn.
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Chang, Ken Kai-fu 1973. "Simulation of nonlinear optic-fibre communication systems using Volterra series transfer function techniques." Monash University, Dept. of Electrical and Computer Systems Engineering, 2002. http://arrow.monash.edu.au/hdl/1959.1/7758.

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Lin, Chung-Yi. "Nonlinear Green's function theory of disordered material /." The Ohio State University, 1987. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487585645575385.

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Pan, Guangdong. "Electromagnetic Backscattering Studies of Nonlinear Ocean Surfaces." The Ohio State University, 2008. http://rave.ohiolink.edu/etdc/view?acc_num=osu1204559229.

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Kim, Jongchul. "Generalized Function Solutions to Nonlinear Wave Equations with Distribution Initial Data." Thesis, University of North Texas, 1996. https://digital.library.unt.edu/ark:/67531/metadc278853/.

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In this study, we consider the generalized function solutions to nonlinear wave equation with distribution initial data. J. F. Colombeau shows that the initial value problem u_tt - Δu = F(u); m(x,0) = U_0; u_t (x,0) = i_1 where the initial data u_0 and u_1 are generalized functions, has a unique generalized function solution u. Here we take a specific F and specific distributions u_0, u_1 then inspect the generalized function representatives for the initial value problem solution to see if the generalized function solution is a distribution or is more singular. Using the numerical technics, we
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Sjöberg, Johan. "Some Results On Optimal Control for Nonlinear Descriptor Systems." Licentiate thesis, Linköping University, Linköping University, Automatic Control, 2006. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-7489.

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<p>I denna avhandling studeras optimal återkopplad styrning av olinjära deskriptorsystem. Ett deskriptorsystem är en matematisk beskrivning som kan innehålla både differentialekvationer och algebraiska ekvationer. En av anledningarna till intresset för denna klass av system är att objekt-orienterade modelleringsverktyg ger systembeskrivningar på denna form. Här kommer det att antas att det, åtminstone lokalt, är möjligt att eliminera de algebraiska ekvationerna och få ett system på tillståndsform. Teoretiskt är detta inte så inskränkande för genom att använda någon indexreduktionsmetod kan gan
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Sze, Tiam Lin. "System identification using radial basis function networks." Thesis, University of Sheffield, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.364232.

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Dadashi, Shirin. "Modeling and Approximation of Nonlinear Dynamics of Flapping Flight." Diss., Virginia Tech, 2017. http://hdl.handle.net/10919/78224.

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The first and most imperative step when designing a biologically inspired robot is to identify the underlying mechanics of the system or animal of interest. It is most common, perhaps, that this process generates a set of coupled nonlinear ordinary or partial differential equations. For this class of systems, the models derived from morphology of the skeleton are usually very high dimensional, nonlinear, and complex. This is particularly true if joint and link flexibility are included in the model. In addition to complexities that arise from morphology of the animal, some of the external force
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Ben, Daya Mohamed. "Barrier function algorithms for linear and convex quadratic programming." Diss., Georgia Institute of Technology, 1988. http://hdl.handle.net/1853/25502.

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Books on the topic "Nonlinear function"

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Hans-Jürgen, Schmeisser, Triebel Hans, and International Conference "Function Spaces, Differential Operators, and Nonlinear Analysis" (1992 : Friedrichroda, Germany), eds. Function spaces, differential operators and nonlinear analysis. B.G. Teubner, 1993.

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L, Päivärinta, and Summer School of Function Spaces, Differential Operators, and Nonlinear Analysis (1988 : Sodankylä, Finland), eds. Function spaces, differential operators and nonlinear analysis. Longman Scientific & Technical, 1989.

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Schmeisser, Hans-Jürgen, and Hans Triebel, eds. Function Spaces, Differential Operators and Nonlinear Analysis. Vieweg+Teubner Verlag, 1993. http://dx.doi.org/10.1007/978-3-663-11336-2.

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Haroske, Dorothee, Thomas Runst, and Hans-Jürgen Schmeisser, eds. Function Spaces, Differential Operators and Nonlinear Analysis. Birkhäuser Basel, 2003. http://dx.doi.org/10.1007/978-3-0348-8035-0.

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Popa, Cosmin Radu. Current-Mode Analog Nonlinear Function Synthesizer Structures. Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-01035-9.

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Fattaruso, John William. Nonlinear analog function sythesis with MOS technology. University of California, Berkeley, 1986.

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Shang, Tao. Quantum Nonlinear Function Obfuscation Theory and Application. Springer Nature Singapore, 2025. http://dx.doi.org/10.1007/978-981-97-6722-9.

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Krbec, Miroslav, Alois Kufner, Bohumír Opic, and Jiří Rákosník, eds. Nonlinear Analysis, Function Spaces and Applications Vol. 4. Vieweg+Teubner Verlag, 1990. http://dx.doi.org/10.1007/978-3-663-01272-6.

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Swain, A. K. Generalised frequency response function matrix for MIMO nonlinear systems. University of Sheffield, Dept. of Automatic Control and Systems Engineering, 1996.

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International Conference "Function spaces, approximation theory, and nonlinear analysis" (2005). Funkt︠s︡ionalʹnye prostranstva teorii︠a︡ priblizheniĭ nelineĭnyĭ analiz: Sbornik stateĭ. Nauka, 2006.

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Book chapters on the topic "Nonlinear function"

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Kolk, W. Richard, and Robert A. Lerman. "The Describing Function." In Nonlinear System Dynamics. Springer US, 1992. http://dx.doi.org/10.1007/978-1-4684-6494-8_5.

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Hu, Michael. "Nonlinear Value Function Approximation." In The Art of Reinforcement Learning. Apress, 2023. http://dx.doi.org/10.1007/978-1-4842-9606-6_7.

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Vapnik, Vladimir. "The Support Vector Method of Function Estimation." In Nonlinear Modeling. Springer US, 1998. http://dx.doi.org/10.1007/978-1-4615-5703-6_3.

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Bartholomew–Biggs, Michael. "Penalty Function Methods." In Nonlinear Optimization with Engineering Applications. Springer US, 2008. http://dx.doi.org/10.1007/978-0-387-78723-7_18.

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Bartholomew–Biggs, Michael. "Barrier Function Methods." In Nonlinear Optimization with Engineering Applications. Springer US, 2008. http://dx.doi.org/10.1007/978-0-387-78723-7_22.

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Triebel, Hans. "Decompositions of Function Spaces." In Topics in Nonlinear Analysis. Birkhäuser Basel, 1999. http://dx.doi.org/10.1007/978-3-0348-8765-6_30.

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Sarychev, Andrej V. "Nonlinear Systems with Impulsive and Generalized Function Controls." In Nonlinear Synthesis. Birkhäuser Boston, 1991. http://dx.doi.org/10.1007/978-1-4757-2135-5_19.

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Aksenov, A. V. "Group Properties of the Riemann Function." In Nonlinear Physical Science. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-16-4683-6_10.

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Min, Fuhong. "Function Synchronizations of Dynamic Systems." In Nonlinear Systems and Complexity. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-66648-3_9.

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Bělík, Pavel, and Vasileios Drakopoulos. "Repellers for the Laguerre Iteration Function." In Nonlinear Systems and Complexity. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-06632-0_10.

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Conference papers on the topic "Nonlinear function"

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Zhao, Baiheng, Bo Wu, Hailong Zhou, and Jianji Dong. "Cascadable Optical Nonlinear Activation Function." In CLEO: Science and Innovations. Optica Publishing Group, 2024. http://dx.doi.org/10.1364/cleo_si.2024.sm2i.7.

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We have presented an easily fabricated, cascadable optical nonlinear activation function device and developed a self-compensation scheme based on it. This approach significantly enhances the performance of optical neural networks in complex classification tasks.
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Pang, Lihui, Yilong Tang, Jinpeng Tian, and Wenwei zhang. "Evaluation of Blind Signal Separation Objective Function Constructed using Nonlinear Functions." In 2024 International Conference on Electrical, Computer and Energy Technologies (ICECET). IEEE, 2024. http://dx.doi.org/10.1109/icecet61485.2024.10698007.

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Stiller, Birgit. "Photonic Computation Enabled by Sound Waves." In Nonlinear Photonics. Optica Publishing Group, 2024. https://doi.org/10.1364/np.2024.npm1e.4.

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We experimentally demonstrate building blocks of photonic neural network based on volatile traveling acoustic waves. We implement an optoacoustic recurrent operator and a nonlinear activation function based on stimulated Brillouin scattering. Full-text article not available; see video presentation
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Zhong, Chuyu, Kun Liao, Maoliang Wei, Hui Ma, Xiaoyong Hu, and Hongtao Lin. "Graphene/silicon heterojunction enabling reconfigurable phase-relevant optical activation function." In CLEO: Science and Innovations. Optica Publishing Group, 2024. http://dx.doi.org/10.1364/cleo_si.2024.sm4g.1.

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Dual-functional graphene/silicon heterojunctions in microring resonators enabled highly reconfigurable optical activation function devices with phase activation. Special nonlinear functions are fed into a complex-valued ONN to challenge image recognition tasks, showing improved results.
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Liu, Siyu, Luning Wang, Chenyang Li, Jindong Wang, and Guangqiang He. "Spectral Function Modulation based on Nonlinear Fourier Transform." In Nonlinear Optics. OSA, 2017. http://dx.doi.org/10.1364/nlo.2017.nw4a.22.

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Ribeiro, L. A., and A. O. de Toledo. "Stimulated Raman Scattering as Function of Coupled Mode in Standard Optical Fiber." In Nonlinear Photonics. OSA, 2010. http://dx.doi.org/10.1364/np.2010.ntuc45.

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Wang, Luning, Siyu Liu, Chenyang Li, and Guangqiang He. "A Combination of Eigenvalue and Spectral Function Modulation in Nonlinear Frequency Division Multiplexing." In Nonlinear Optics. OSA, 2017. http://dx.doi.org/10.1364/nlo.2017.nw4a.21.

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Mateos, Luis A., Tuan D. Pham, Xiaobo Zhou, et al. "Chaotic Nonlinear Prime Number Function." In 2011 INTERNATIONAL SYMPOSIUM ON COMPUTATIONAL MODELS FOR LIFE SCIENCES (CMLS-11). AIP, 2011. http://dx.doi.org/10.1063/1.3596639.

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Hung-Ching Lui and Sing-Fu Leei. "Function approximation of nonlinear functions by GA-based fuzzy systems." In 2012 International Conference on Machine Learning and Cybernetics (ICMLC). IEEE, 2012. http://dx.doi.org/10.1109/icmlc.2012.6359672.

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Statman, David, and Traci L. Rendulic. "Measurement of Photorefractive Dynamics Using Time Autocorrelaton Function." In Nonlinear Optics: Materials, Fundamentals and Applications. Optica Publishing Group, 1996. http://dx.doi.org/10.1364/nlo.1996.ntua.5.

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Photorefractive dynamics are typically described by the material equations referred to as the Kukhtarev Equations. In dimensionless form these equations are given by where time is scaled to τ = ε/eμNA, length to λ/(4πn sin θ/2), and density to NA. N is the carrier density, N is the ionized donor density, ND is the donor density, E is the electric field, 1D is the Debye screening length, f is the excitation rate, and γ is the recombination coefficient. The space charge field responsible for the photorefractive grating is given by These equations are inherently nonlinear, and cannot, in general,
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Reports on the topic "Nonlinear function"

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Boggs, P. T., J. W. Tolle, and A. J. Kearsley. A merit function for inequality constrained nonlinear programming problems. National Institute of Standards and Technology, 1991. http://dx.doi.org/10.6028/nist.ir.4702.

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Cattaneo, Matias D., Richard K. Crump, Max H. Farrell, and Yingjie Feng. Nonlinear Binscatter Methods. Federal Reserve Bank of New York, 2024. http://dx.doi.org/10.59576/sr.1110.

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Binned scatter plots are a powerful statistical tool for empirical work in the social, behavioral, and biomedical sciences. Available methods rely on a quantile-based partitioning estimator of the conditional mean regression function to primarily construct flexible yet interpretable visualization methods, but they can also be used to estimate treatment effects, assess uncertainty, and test substantive domain-specific hypotheses. This paper introduces novel binscatter methods based on nonlinear, possibly nonsmooth M-estimation methods, covering generalized linear, robust, and quantile regressio
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Verbrugge, Randal J., and Saeed Zaman. The Hard Road to a Soft Landing: Evidence from a (Modestly) Nonlinear Structural Model. Federal Reserve Bank of Cleveland, 2023. http://dx.doi.org/10.26509/frbc-wp-202303.

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What drove inflation so high in 2022? Can it drop rapidly without a recession? The Phillips curve is central to the answers; its proper (nonlinear) specification reveals that the relationship is strong and frequency dependent, and inflation is very persistent. We embed this empirically successful Phillips curve – incorporating a supply-shocks variable – into a structural model. Identification is achieved using an underutilized data-dependent method. Despite imposing anchored inflation expectations and a rapid relaxation of supply-chain problems, we find that absent a recession, inflation will
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Ramakrishnan, Aravind, Fangyu Liu, Angeli Jayme, and Imad Al-Qadi. Prediction of Pavement Damage under Truck Platoons Utilizing a Combined Finite Element and Artificial Intelligence Model. Illinois Center for Transportation, 2024. https://doi.org/10.36501/0197-9191/24-030.

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For robust pavement design, accurate damage computation is essential, especially for loading scenarios such as truck platoons. Studies have developed a framework to compute pavement distresses as function of lateral position, spacing, and market-penetration level of truck platoons. The established framework uses a robust 3D pavement model, along with the AASHTOWare Mechanistic–Empirical Pavement Design Guidelines (MEPDG) transfer functions to compute pavement distresses. However, transfer functions include high variability and lack physical significance. Therefore, as an improvement to effecti
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Afonso, Gara, Gabriele La Spada, Thomas M. Mertens, and John C. Williams. The Optimal Supply of Central Bank Reserves under Uncertainty. Federal Reserve Bank of New York, 2023. http://dx.doi.org/10.59576/sr.1077.

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This paper provides an analytically tractable theoretical framework to study the optimal supply of central bank reserves when the demand for reserves is uncertain and nonlinear. We fully characterize the optimal supply of central bank reserves and associated market equilibrium. We find that the optimal supply of reserves under uncertainty is greater than that absent uncertainty. With a sufficient degree of uncertainty, it is optimal to supply a level of reserves that is abundant (on the flat portion of the demand curve) absent shocks. The optimal mean spread between the market interest rate an
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Wester, D. W. Trigonometric functions of nonlinear quantities. Office of Scientific and Technical Information (OSTI), 1994. http://dx.doi.org/10.2172/10182638.

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Serneels, Pieter, and Stefan Dercon. Aspirations, Poverty and Education: Evidence from India. Research on Improving Systems of Education (RISE), 2020. http://dx.doi.org/10.35489/bsg-rise-wp_2020/053.

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This paper investigates whether aspirations matter for education, which offers a common route out of poverty. We find that mother aspirations are strongly related to the child’s grade achieved at age 18. The relation is nonlinear, suggesting there is a threshold, and depends on caste, household income and the village setting. The coefficients remain large and significant when applying control function estimation, using firstborn son as instrument. A similar strong relation is observed with learning outcomes, including local language, English and maths test results, and with attending school, b
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Christensen, Steen. Documentation of Edcrop – version 1: A Python package to simulate field-scale evapotranspiration and drainage from crop, wetland, or forest. Royal Danish Library, 2024. http://dx.doi.org/10.7146/aul.539.

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Evapotranspiration is one of the major components of Earth’s Water Balance, being the sum of evaporation and plant transpiration from the land and ocean surface. This report documents edcrop, a Python package that use climate input to simulate field-scale evapotranspiration and drainage from the root zone of an area covered with a crop, a wetland, or a forest. The conceptual model implemented in edcrop is a modification of the Evacrop model by Olesen and Heidmann (2002), which itself builds on the Watcros model by Aslyng and Hansen (1982). The edcrop conceptualization is based on consideration
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Francis, Neville, Michael Owyang, and Daniel Soques. Impulse Response Functions for Self-Exciting Nonlinear Models. National Bureau of Economic Research, 2023. http://dx.doi.org/10.3386/w31709.

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Owyang, Michael T., Daniel Soques, and Neville Francis. Impulse Response Functions for Self-Exciting Nonlinear Models. Federal Reserve Bank of St. Louis, 2023. http://dx.doi.org/10.20955/wp.2023.021.

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