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Relevant bibliographies by topics / Nonlinear analysis

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Academic literature on the topic 'Nonlinear analysis'

Author: Grafiati

Published: 4 June 2021

Last updated: 18 May 2024

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Journal articles on the topic "Nonlinear analysis"

1

Coarita, Ever, and Leonardo Flores. "Nonlinear Analysis of Structures Cable - Truss." International Journal of Engineering and Technology 7, no. 3 (June 2015): 160–69. http://dx.doi.org/10.7763/ijet.2015.v7.786.

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Yin, Tao, and Yiming Wang. "Nonlinear analysis and prediction of soybean futures." Agricultural Economics (Zemědělská ekonomika) 67, No. 5 (May 20, 2021): 200–207. http://dx.doi.org/10.17221/480/2020-agricecon.

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We use chaotic artificial neural network (CANN) technology to predict the price of the most widely traded agricultural futures – soybean futures. The nonlinear existence test results show that the time series of soybean futures have multifractal dynamics, long-range dependence, self similarity, and chaos characteristics. This also provides a basis for the construction of a CANN model. Compared with the artificial neural network (ANN) structure as our benchmark system, the predictability of CANN is much higher. The ANN is based on Gaussian kernel function and is only suitable for local approximation of nonstationary signals, so it cannot approach the global nonlinear chaotical hidden pattern. Improving the prediction accuracy of soybean futures prices is of great significance for investors, soybean producers, and decision makers.

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Allen, Bradford D., and James Carifio. "Nonlinear Analysis." Evaluation Review 19, no. 1 (February 1995): 64–83. http://dx.doi.org/10.1177/0193841x9501900103.

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Guillaume, Philippe. "Nonlinear Eigenproblems." SIAM Journal on Matrix Analysis and Applications 20, no. 3 (January 1999): 575–95. http://dx.doi.org/10.1137/s0895479897324172.

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Benilan, P., and P. Wittbold. "Nonlinear Absorptions." Journal of Functional Analysis 114, no. 1 (May 1993): 59–96. http://dx.doi.org/10.1006/jfan.1993.1063.

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Owino, Joseph Owuor. "GROUP ANALYSIS OF A NONLINEAR HEAT-LIKE EQUATION." INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER RESEARCH 11, no. 01 (January 13, 2023): 3113–31. http://dx.doi.org/10.47191/ijmcr/v11i1.03.

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We study a nonlinear heat like equation from a lie symmetry stand point. Heat equation have been employed to study ow of current, information and propagation of heat. The Lie group approach is used on the system to obtain symmetry reductions and the reduced systems studied for exact solutions. Solitary waves have been constructed by use of a linear span of time and space translation symmetries. We also compute conservation laws using multiplier approach and by a conservation theorem due to Ibragimov.

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Fujino, Naoki, and Mitsuru Yamazaki. "Hyperbolic conservation laws with nonlinear diffusion and nonlinear dispersion." Journal of Differential Equations 228, no. 1 (September 2006): 171–90. http://dx.doi.org/10.1016/j.jde.2006.03.025.

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R, Rakesh. "Nonlinear Analysis for Parameter Estimation by Multi Objective Single Variable Inverse Analysis." Journal of Advanced Research in Dynamical and Control Systems 12, SP7 (July 25, 2020): 529–38. http://dx.doi.org/10.5373/jardcs/v12sp7/20202136.

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Lin, Yanping, and Hong-Ming Yin. "Nonlinear parabolic equations with nonlinear functionals." Journal of Mathematical Analysis and Applications 168, no. 1 (July 1992): 28–41. http://dx.doi.org/10.1016/0022-247x(92)90187-i.

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Song, Jiecheng, and Merry Ma. "Climate Change: Linear and Nonlinear Causality Analysis." Stats 6, no. 2 (May 15, 2023): 626–42. http://dx.doi.org/10.3390/stats6020040.

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The goal of this study is to detect linear and nonlinear causal pathways toward climate change as measured by changes in global mean surface temperature and global mean sea level over time using a data-based approach in contrast to the traditional physics-based models. Monthly data on potential climate change causal factors, including greenhouse gas concentrations, sunspot numbers, humidity, ice sheets mass, and sea ice coverage, from January 2003 to December 2021, have been utilized in the analysis. We first applied the vector autoregressive model (VAR) and Granger causality test to gauge the linear Granger causal relationships among climate factors. We then adopted the vector error correction model (VECM) as well as the autoregressive distributed lag model (ARDL) to quantify the linear long-run equilibrium and the linear short-term dynamics. Cointegration analysis has also been adopted to examine the dual directional Granger causalities. Furthermore, in this work, we have presented a novel pipeline based on the artificial neural network (ANN) and the VAR and ARDL models to detect nonlinear causal relationships embedded in the data. The results in this study indicate that the global sea level rise is affected by changes in ice sheet mass (both linearly and nonlinearly), global mean temperature (nonlinearly), and the extent of sea ice coverage (nonlinearly and weakly); whereas the global mean temperature is affected by the global surface mean specific humidity (both linearly and nonlinearly), greenhouse gas concentration as measured by the global warming potential (both linearly and nonlinearly) and the sunspot number (only nonlinearly and weakly). Furthermore, the nonlinear neural network models tend to fit the data closer than the linear models as expected due to the increased parameter dimension of the neural network models. Given that the information criteria are not generally applicable to the comparison of neural network models and statistical time series models, our next step is to examine the robustness and compare the forecast accuracy of these two models using the soon-available 2022 monthly data.

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Dissertations / Theses on the topic "Nonlinear analysis"

1

Gao, Pei. "Nonlinear independent component analysis." Thesis, University of Newcastle Upon Tyne, 2007. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.437979.

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Der, Ralf, Ulrich Steinmetz, Gerd Balzuweit, and Gerrit Schüürmann. "Nonlinear principal component analysis." Universität Leipzig, 1998. https://ul.qucosa.de/id/qucosa%3A34520.

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We study the extraction of nonlinear data models in high-dimensional spaces with modified self-organizing maps. We present a general algorithm which maps low-dimensional lattices into high-dimensional data manifolds without violation of topology. The approach is based on a new principle exploiting the specific dynamical properties of the first order phase transition induced by the noise of the data. Moreover we present a second algorithm for the extraction of generalized principal curves comprising disconnected and branching manifolds. The performance of the algorithm is demonstrated for both one- and two-dimensional principal manifolds and also for the case of sparse data sets. As an application we reveal cluster structures in a set of real world data from the domain of ecotoxicology.

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Li, Ruo-Ding. "Model analysis in nonlinear optics." Doctoral thesis, Universite Libre de Bruxelles, 1991. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/213005.

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Racicot, Daniel M. "Nonlinear analysis of interspike intervals." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1997. http://www.collectionscanada.ca/obj/s4/f2/dsk3/ftp05/mq20944.pdf.

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Shin, Haksik. "Nonlinear analysis of axisymmetric shells." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2000. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape4/PQDD_0017/MQ58505.pdf.

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Schaedlich, Mirko. "Nonlinear transient structural response analysis." Thesis, University of Southampton, 2007. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.438667.

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Lohmiller, Winfried Stefan 1971. "Contraction analysis of nonlinear systems." Thesis, Massachusetts Institute of Technology, 1999. http://hdl.handle.net/1721.1/9793.

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Thesis (Ph.D.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 1999.
Includes bibliographical references (leaves 87-90).
This thesis derives new results in nonlinear system analysis using methods inspired from fluid mechanics and differential geometry. Based on a differential analysis of convergence, these results may be viewed as generalizing the classical Krasovskii theorem, as well as linear eigenvalue analysis. A central feature is that convergence and limit behavior are in a sense treated separately, leading to significant conceptual simplifications. We establish new combination properties of nonlinear dynamic systems and use them to derive simple controller and observer designs for mechanical systems such as aircraft, underwater vehicles, and robots. The method is also applied to chemical chain reactions and mixture processes. The relative simplicity of these designs stems from their effective exploitation of the systems' structural specificities. Next, we analyze and quantify the global stability properties of physical partial differential equations such as the heat equation, or the Schroedinger equation. Lyapunov exponents are not coordinate-invariant, and thus their exact physical meaning is somewhat questionable. As an alternative, we suggest an extension of linear eigenvalue analysis to nonlinear dynamic systems. Finally, the thesis derives new controller and observer designs for general nonlinear dynamic systems. In particular, an extension of feedback linearization is proposed when the corresponding integrability conditions are violated.
by Winfried Stefan Lohmiller.
Ph.D.

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Cates, Andrew Thomas. "Nonlinear diffractive acoustics." Thesis, University of Cambridge, 1989. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.315809.

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Ziegler, Edward H. "Nonlinear system identification /." Online version of thesis, 1994. http://hdl.handle.net/1850/11583.

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Li, Jay-Shake. "Nonlinear dynamical analysis of operant behavior." [S.l. : s.n.], 2003. http://deposit.ddb.de/cgi-bin/dokserv?idn=96853032X.

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Books on the topic "Nonlinear analysis"

1

Socrates, Papageorgiou Nikolaos, ed. Nonlinear analysis. Boca Raton, FL: Chapman & Hall/CRC, 2006.

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2

Pardalos, Panos M., Pando G. Georgiev, and Hari M. Srivastava, eds. Nonlinear Analysis. New York, NY: Springer New York, 2012. http://dx.doi.org/10.1007/978-1-4614-3498-6.

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Ansari, Qamrul Hasan, ed. Nonlinear Analysis. New Delhi: Springer India, 2014. http://dx.doi.org/10.1007/978-81-322-1883-8.

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4

Deimling, Klaus. Nonlinear functional analysis. Mineola, N.Y: Dover Publications, 2010.

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5

Nonlinear functional analysis. Berlin: Springer-Verlag, 1985.

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Deimling, Klaus. Nonlinear functional analysis. Mineola, N.Y: Dover Publications, 2010.

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7

Milojević, P. S. Nonlinear functional analysis. New York: M. Dekker, 1990.

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8

Gifi, Albert. Nonlinear multivariate analysis. Chichester: Wiley, 1990.

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Deimling, Klaus. Nonlinear Functional Analysis. Berlin, Heidelberg: Springer Berlin Heidelberg, 1985. http://dx.doi.org/10.1007/978-3-662-00547-7.

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10

Matzeu, Michele, and Alfonso Vignoli, eds. Topological Nonlinear Analysis. Boston, MA: Birkhäuser Boston, 1995. http://dx.doi.org/10.1007/978-1-4612-2570-6.

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Book chapters on the topic "Nonlinear analysis"

1

Gautschi, Walter. "Nonlinear Equations." In Numerical Analysis, 253–323. Boston: Birkhäuser Boston, 2011. http://dx.doi.org/10.1007/978-0-8176-8259-0_4.

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2

Cesari, Lamberto. "Nonlinear Analysis." In Non-Linear Mechanics, 1–95. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-10976-8_1.

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3

Gayed, Ramez, and Amin Ghali. "Nonlinear analysis." In Structural Analysis Fundamentals, 521–60. Boca Raton: CRC Press, 2021. http://dx.doi.org/10.1201/9780429286858-18.

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4

Chiprout, Eli, and Michel S. Nakhla. "Nonlinear Analysis." In Asymptotic Waveform Evaluation, 129–50. Boston, MA: Springer US, 1994. http://dx.doi.org/10.1007/978-1-4615-3116-6_7.

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5

Veeramani, P., and S. Rajesh. "Best Proximity Points." In Nonlinear Analysis, 1–32. New Delhi: Springer India, 2014. http://dx.doi.org/10.1007/978-81-322-1883-8_1.

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Abbas, M., and S. Z. Németh. "Isotone Projection Cones and Nonlinear Complementarity Problems." In Nonlinear Analysis, 323–47. New Delhi: Springer India, 2014. http://dx.doi.org/10.1007/978-81-322-1883-8_10.

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Indumathi, V. "Semi-continuity Properties of Metric Projections." In Nonlinear Analysis, 33–59. New Delhi: Springer India, 2014. http://dx.doi.org/10.1007/978-81-322-1883-8_2.

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Shunmugaraj, P. "Convergence of Slices, Geometric Aspects in Banach Spaces and Proximinality." In Nonlinear Analysis, 61–107. New Delhi: Springer India, 2014. http://dx.doi.org/10.1007/978-81-322-1883-8_3.

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Banaś, Józef. "Measures of Noncompactness and Well-Posed Minimization Problems." In Nonlinear Analysis, 109–34. New Delhi: Springer India, 2014. http://dx.doi.org/10.1007/978-81-322-1883-8_4.

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Pai, D. V. "Well-Posedness, Regularization, and Viscosity Solutions of Minimization Problems." In Nonlinear Analysis, 135–64. New Delhi: Springer India, 2014. http://dx.doi.org/10.1007/978-81-322-1883-8_5.

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Conference papers on the topic "Nonlinear analysis"

1

Liu, Fon-che, and Tai-ping Liu. "Nonlinear Analysis." In 1989 Conference on Nonlinear Analysis. WORLD SCIENTIFIC, 1991. http://dx.doi.org/10.1142/9789814540704.

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2

Kim, Byungho, Hanbyul Chang, and Yoonchan Jeong. "Theoretical analysis of time-varying mode instability." In Nonlinear Optics. Washington, D.C.: Optica Publishing Group, 2023. http://dx.doi.org/10.1364/nlo.2023.m4a.18.

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We present a semi-analytical transient model of mode instability in high-power fiber amplifiers. The proposed model reproduces the closely matched MI behavior to previous experiments, while requiring significantly less computational cost than previous transient models.

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3

Hermann, J. A. "Analysis of The Thick Medium Z-Scan." In Nonlinear Optics. Washington, D.C.: Optica Publishing Group, 1992. http://dx.doi.org/10.1364/nlo.1992.tud17.

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An analytic solution of the propagation equation for a symmetrical optical beam has been obtained, in the situation where the beam is focused within an optically nonlinear medium having a thickness greater than the depth of focus. Previous related work by the author has concentrated upon finding solutions, in continued-fraction format, within the strongly self-focusing/defocusing limit [1]. In the present work, an expression is derived for the transmitted electric field envelope in the weakly nonlinear case. The result is described in terms of a linear superposition of Gaussian-Laguerre modes, the coefficients of which depend only upon the linear component of the accumulated optical phase on the optic axis. The medium that has been explored possesses a Kerr-type susceptibility with refractive and absorptive components.

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4

Kelley, P. L., O. Blum, and T. K. Gustafson. "Radiative Renormalization Analysis of Optical Double Resonance." In Nonlinear Optics. Washington, D.C.: Optica Publishing Group, 1992. http://dx.doi.org/10.1364/nlo.1992.tud4.

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The problem of optical double resonance as shown in the Figure is a familiar one in optics.[1-3] In this case, a near-resonant field at frequency ν l connects level 1 with level 2 while a near resonant field at frequency v u connects level 2 with level 3. When level 2 is below level 3, the excitation of level 3 involves two photon absorption; if level 2 is above level 3, the excitation of level 3 is a Raman process.

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Rahman, B. M. A., Y. Liu, P. A. Buah, K. T. V. Grattan, F. A. Fernandez, R. D. Ettinger, and J. B. Davies. "Accurate Finite Element Analysis of Nonlinear Optical Fibers." In Nonlinear Optics. Washington, D.C.: Optica Publishing Group, 1992. http://dx.doi.org/10.1364/nlo.1992.we11.

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Nonlinear optical effects in fibers such as optical solitons are closely related to the optical Kerr effect[1]. Calculations are presented here of propagation constants, field distributions and spot sizes, in step index and graded index optical fibers with Kerr- and saturation-type nonlinearities.

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6

Banerjee, Partha P., and Jaw-Jueh Liu. "Analysis of Transient Beam Fanning in Photorefractive Media." In Nonlinear Optics. Washington, D.C.: Optica Publishing Group, 1992. http://dx.doi.org/10.1364/nlo.1992.md15.

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Photo-induced light scattering in photorefractive materials has been extensively studied due to the wide variety of applications that utilize this effect, such as optical limiters, self-pumped phase conjugate mirrors, unidirectional ring oscillators and bistable optical devices [1-4].

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Reitzig, Sven, Franz Hempel, Michael Rüsing, and Lukas M. Eng. "CARS Domain-Wall Analysis in single-crystalline Lithium Niobate." In Nonlinear Optics. Washington, D.C.: OSA, 2021. http://dx.doi.org/10.1364/nlo.2021.nth3a.7.

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D’Aguanno, G., M. C. Larciprete, N. Mattiucci, A. Belardini, M. J. Bloemer, E. Fazio, O. Buganov, M. Centini, and C. Sibilia. "Bloch Vector Analysis in Nonlinear, Finite, Dissipative Systems: An Experimental Study." In Nonlinear Photonics. Washington, D.C.: OSA, 2010. http://dx.doi.org/10.1364/np.2010.nme45.

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Bochove, E. J., A. B. Aceves, R. Deiterding, L. Crabtree, Y. Braiman, A. Jacobo, and P. Colet. "Dynamic stability analysis of passively-phased ring-geometry fiber laser array." In Nonlinear Photonics. Washington, D.C.: OSA, 2010. http://dx.doi.org/10.1364/np.2010.nme56.

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Jirauschek, Christian, and Alpár Mátyás. "Self-Consistent Analysis of Lasing Action in THz Quantum Cascade Lasers." In Nonlinear Photonics. Washington, D.C.: OSA, 2010. http://dx.doi.org/10.1364/np.2010.nwb5.

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Reports on the topic "Nonlinear analysis"

1

Murty, V. D. Nonlinear Internal Flow Analysis. Fort Belvoir, VA: Defense Technical Information Center, February 1997. http://dx.doi.org/10.21236/ada361213.

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Schennach, Susanne M., and Florian Gunsilius. Independent nonlinear component analysis. The IFS, September 2019. http://dx.doi.org/10.1920/wp.cem.2019.4619.

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Torney, D. C., W. Bruno, and V. Detours. Nonlinear analysis of biological sequences. Office of Scientific and Technical Information (OSTI), November 1998. http://dx.doi.org/10.2172/674921.

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Rabinowitz, Paul H., and Panagiotis E. Souganidis. Some Problems in Nonlinear Analysis. Fort Belvoir, VA: Defense Technical Information Center, September 1999. http://dx.doi.org/10.21236/ada370114.

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Rabinowitz, Paul H. Some Problems in Nonlinear Analysis. Fort Belvoir, VA: Defense Technical Information Center, April 1994. http://dx.doi.org/10.21236/ada281659.

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Maddocks, John. Nonlinear Mechanics and Applied Analysis. Fort Belvoir, VA: Defense Technical Information Center, October 1994. http://dx.doi.org/10.21236/ada290356.

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Maddocks, John. Nonlinear Mechanics and Applied Analysis. Fort Belvoir, VA: Defense Technical Information Center, March 1995. http://dx.doi.org/10.21236/ada299163.

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Rose, Donald J. Studies in Nonlinear Numerical Analysis. Fort Belvoir, VA: Defense Technical Information Center, August 1993. http://dx.doi.org/10.21236/ada273911.

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Megretski, Alexandre. Analysis of Essentially Nonlinear Systems. Fort Belvoir, VA: Defense Technical Information Center, January 1999. http://dx.doi.org/10.21236/ada382915.

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Crandall, M. G., and P. H. Rabinowitz. Some Problems in Nonlinear Analysis. Fort Belvoir, VA: Defense Technical Information Center, May 1991. http://dx.doi.org/10.21236/ada236246.

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