Academic literature on the topic 'Nonlinear lattice'

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Journal articles on the topic "Nonlinear lattice"

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Toda, Morikazu, Yoshiko Okada, and Shinsuke Watanabe. "Nonlinear Dual Lattice." Journal of the Physical Society of Japan 59, no. 12 (December 15, 1990): 4279–85. http://dx.doi.org/10.1143/jpsj.59.4279.

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Shi, Xianling, Fangwei Ye, Boris Malomed, and Xianfeng Chen. "Nonlinear surface lattice coupler." Optics Letters 38, no. 7 (March 21, 2013): 1064. http://dx.doi.org/10.1364/ol.38.001064.

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Suárez, Alberto, and Jean Pierre Boon. "Nonlinear lattice gas hydrodynamics." Journal of Statistical Physics 87, no. 5-6 (June 1997): 1123–30. http://dx.doi.org/10.1007/bf02181275.

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Haq, S., A. B. Movchan, and G. J. Rodin. "Lattice Green’s Functions in Nonlinear Analysis of Defects." Journal of Applied Mechanics 74, no. 4 (August 20, 2006): 686–90. http://dx.doi.org/10.1115/1.2710795.

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A method for analyzing problems involving defects in lattices is presented. Special attention is paid to problems in which the lattice containing the defect is infinite, and the response in a finite zone adjacent to the defect is nonlinear. It is shown that lattice Green’s functions allow one to reduce such problems to algebraic problems whose size is comparable to that of the nonlinear zone. The proposed method is similar to a hybrid finite-boundary element method in which the interior nonlinear region is treated with a finite element method and the exterior linear region is treated with a boundary element method. Method details are explained using an anti-plane deformation model problem involving a cylindrical vacancy.
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Serra-Garcia, Marc, Miguel Molerón, and Chiara Daraio. "Tunable, synchronized frequency down-conversion in magnetic lattices with defects." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 376, no. 2127 (July 23, 2018): 20170137. http://dx.doi.org/10.1098/rsta.2017.0137.

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We study frequency conversion in nonlinear mechanical lattices, focusing on a chain of magnets as a model system. We show that, by inserting mass defects at suitable locations, we can introduce localized vibrational modes that nonlinearly couple to extended lattice modes. The nonlinear interaction introduces an energy transfer from the high-frequency localized modes to a low-frequency extended mode. This system is capable of autonomously converting energy between highly tunable input and output frequencies, which need not be related by integer harmonic or subharmonic ratios. It is also capable of obtaining energy from multiple sources at different frequencies with a tunable output phase, due to the defect synchronization provided by the extended mode. Our lattice is a purely mechanical analogue of an opto-mechanical system, where the localized modes play the role of the electromagnetic field and the extended mode plays the role of the mechanical degree of freedom. This article is part of the theme issue ‘Nonlinear energy transfer in dynamical and acoustical systems’.
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Pal, Raj Kumar, Federico Bonetto, Luca Dieci, and Massimo Ruzzene. "A study of deformation localization in nonlinear elastic square lattices under compression." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 376, no. 2127 (July 23, 2018): 20170140. http://dx.doi.org/10.1098/rsta.2017.0140.

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The paper investigates localized deformation patterns resulting from the onset of instabilities in lattice structures. The study is motivated by previous observations on discrete hexagonal lattices, where a variety of localized deformations were found depending on loading configuration, lattice parameters and boundary conditions. These studies are conducted on other lattice structures, with the objective of identifying and investigating minimal models that exhibit localization, hysteresis and path-dependent behaviour. To this end, we first consider a two-dimensional square lattice consisting of point masses connected by in-plane axial springs and vertical ground springs, which may be considered as a discrete description of an elastic membrane supported by an elastic substrate. Results illustrate that, depending on the relative values of the spring constants, the lattice exhibits in-plane or out-of-plane instabilities leading to localized deformations. This model is further simplified by considering the one-dimensional case of a spring–mass chain sitting on an elastic foundation. A bifurcation analysis of this lattice identifies the stable and unstable branches and sheds light on the mechanism of transition from affine deformation to global or diffuse deformation to localized deformation. Finally, the lattice is further reduced to a minimal four-mass model, which exhibits a deformation qualitatively similar to that in the central part of a longer chain. In contrast to the widespread assumption that localization is induced by defects or imperfections in a structure, this work illustrates that such phenomena can arise in perfect lattices as a consequence of the mode shapes at the bifurcation points. This article is part of the theme issue ‘Nonlinear energy transfer in dynamical and acoustical systems’.
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Flint, Christopher, Armen Oganesov, George Vahala, Linda Vahala, and Min Soe. "Lattice algorithms for nonlinear physics." Radiation Effects and Defects in Solids 172, no. 9-10 (October 3, 2017): 737–41. http://dx.doi.org/10.1080/10420150.2017.1398251.

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Ke-pu, Lü, Duan Wen-shan, Zhao Jin-bao, Wang Ben-ren, and Wei Rong-jue. "Particular solitons in nonlinear lattice." Chinese Physics 9, no. 2 (February 2000): 81–85. http://dx.doi.org/10.1088/1009-1963/9/2/001.

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Watanabe, Shinsuke. "Wave Modulation in Nonlinear Lattice." Journal of the Physical Society of Japan 58, no. 6 (June 15, 1989): 1935–43. http://dx.doi.org/10.1143/jpsj.58.1935.

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Alwani, Fairuz, and Franco Vivaldi. "Nonlinear rotations on a lattice." Journal of Difference Equations and Applications 24, no. 7 (April 23, 2018): 1074–104. http://dx.doi.org/10.1080/10236198.2018.1459592.

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Dissertations / Theses on the topic "Nonlinear lattice"

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Piazza, Francesco. "Nonlinear lattice dynamics in high-Tc superconductors." Thesis, Heriot-Watt University, 2002. http://hdl.handle.net/10399/446.

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Jason, Peter. "Comparisons between classical and quantum mechanical nonlinear lattice models." Licentiate thesis, Linköpings universitet, Teoretisk Fysik, 2014. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-105817.

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In the mid-1920s, the great Albert Einstein proposed that at extremely low temperatures, a gas of bosonic particles will enter a new phase where a large fraction of them occupy the same quantum state. This state would bring many of the peculiar features of quantum mechanics, previously reserved for small samples consisting only of a few atoms or molecules, up to a macroscopic scale. This is what we today call a Bose-Einstein condensate. It would take physicists almost 70 years to realize Einstein's idea, but in 1995 this was finally achieved. The research on Bose-Einstein condensates has since taken many directions, one of the most exciting being to study their behavior when they are placed in optical lattices generated by laser beams. This has already produced a number of fascinating results, but it has also proven to be an ideal test-ground for predictions from certain nonlinear lattice models. Because on the other hand, nonlinear science, the study of generic nonlinear phenomena, has in the last half century grown out to a research field in its own right, influencing almost all areas of science and physics. Nonlinear localization is one of these phenomena, where localized structures, such as solitons and discrete breathers, can appear even in translationally invariant systems. Another one is the (in)famous chaos, where deterministic systems can be so sensitive to perturbations that they in practice become completely unpredictable. Related to this is the study of different types of instabilities; what their behavior are and how they arise. In this thesis we compare classical and quantum mechanical nonlinear lattice models which can be applied to BECs in optical lattices, and also examine how classical nonlinear concepts, such as localization, chaos and instabilities, can be transfered to the quantum world.
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Atchley, Mary L. "Observations of breather solitons in a nonlinear vibratory lattice." Thesis, Monterey, Calif. : Naval Postgraduate School, 1992. http://handle.dtic.mil/100.2/ADA252936.

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Thesis (M.S. in Physics) Naval Postgraduate School, March 1992.
Thesis Advisors: Denardo, B.C. ; Garrett, Steven L. "March 1992." Includes bibliographical references (p. 74-76). Also available in print.
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Huang, Chiung-Yu. "Geometrically nonlinear finite element analysis of a lattice dome." Thesis, Virginia Tech, 1989. http://hdl.handle.net/10919/44650.

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The geometry and the finite element method modelling of a lattice dome is presented. Linear analyses and geometrically nonlinear analyses of the dome are performed. In addition, a buckling load prediction method is studied and extended to the multiple load distributions. The results obtained from linear analyses are checked against the requirements of NDS, National Design Standard.
Master of Science

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Ahnert, Karsten. "Compactons in strongly nonlinear lattices." Phd thesis, Universität Potsdam, 2010. http://opus.kobv.de/ubp/volltexte/2010/4853/.

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In the present work, we study wave phenomena in strongly nonlinear lattices. Such lattices are characterized by the absence of classical linear waves. We demonstrate that compactons – strongly localized solitary waves with tails decaying faster than exponential – exist and that they play a major role in the dynamics of the system under consideration. We investigate compactons in different physical setups. One part deals with lattices of dispersively coupled limit cycle oscillators which find various applications in natural sciences such as Josephson junction arrays or coupled Ginzburg-Landau equations. Another part deals with Hamiltonian lattices. Here, a prominent example in which compactons can be found is the granular chain. In the third part, we study systems which are related to the discrete nonlinear Schrödinger equation describing, for example, coupled optical wave-guides or the dynamics of Bose-Einstein condensates in optical lattices. Our investigations are based on a numerical method to solve the traveling wave equation. This results in a quasi-exact solution (up to numerical errors) which is the compacton. Another ansatz which is employed throughout this work is the quasi-continuous approximation where the lattice is described by a continuous medium. Here, compactons are found analytically, but they are defined on a truly compact support. Remarkably, both ways give similar qualitative and quantitative results. Additionally, we study the dynamical properties of compactons by means of numerical simulation of the lattice equations. Especially, we concentrate on their emergence from physically realizable initial conditions as well as on their stability due to collisions. We show that the collisions are not exactly elastic but that a small part of the energy remains at the location of the collision. In finite lattices, this remaining part will then trigger a multiple scattering process resulting in a chaotic state.
In der hier vorliegenden Arbeit werden Wellenphänomene in stark nichtlinearen Gittern untersucht. Diese Gitter zeichnen sich vor allem durch die Abwesenheit von klassischen linearen Wellen aus. Es wird gezeigt, dass Kompaktonen – stark lokalisierte solitäre Wellen, mit Ausläufern welche schneller als exponentiell abfallen – existieren, und dass sie eine entscheidende Rolle in der Dynamik dieser Gitter spielen. Kompaktonen treten in verschiedenen diskreten physikalischen Systemen auf. Ein Teil der Arbeit behandelt dabei Gitter von dispersiv gekoppelten Oszillatoren, welche beispielsweise Anwendung in gekoppelten Josephsonkontakten oder gekoppelten Ginzburg-Landau-Gleichungen finden. Ein weiterer Teil beschäftigt sich mit Hamiltongittern, wobei die granulare Kette das bekannteste Beispiel ist, in dem Kompaktonen beobachtet werden können. Im dritten Teil werden Systeme, welche im Zusammenhang mit der Diskreten Nichtlinearen Schrödingergleichung stehen, studiert. Diese Gleichung beschreibt beispielsweise Arrays von optischen Wellenleitern oder die Dynamik von Bose-Einstein-Kondensaten in optischen Gittern. Das Studium der Kompaktonen basiert hier hauptsächlich auf dem numerischen Lösen der dazugehörigen Wellengleichung. Dies mündet in einer quasi-exakten Lösung, dem Kompakton, welches bis auf numerische Fehler genau bestimmt werden kann. Ein anderer Ansatz, der in dieser Arbeit mehrfach verwendet wird, ist die Approximation des Gitters durch ein kontinuierliches Medium. Die daraus resultierenden Kompaktonen besitzen einen im mathematischen Sinne kompakten Definitionsbereich. Beide Methoden liefern qualitativ und quantitativ gut übereinstimmende Ergebnisse. Zusätzlich werden die dynamischen Eigenschaften von Kompaktonen mit Hilfe von direkten numerischen Simulationen der Gittergleichungen untersucht. Dabei wird ein Hauptaugenmerk auf die Entstehung von Kompaktonen unter physikalisch realisierbaren Anfangsbedingungen und ihre Kollisionen gelegt. Es wird gezeigt, dass die Wechselwirkung nicht exakt elastisch ist, sondern dass ein Teil ihrer Energie an der Position der Kollision verharrt. In endlichen Gittern führt dies zu einem multiplen Streuprozess, welcher in einem chaotischen Zustand endet.
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Della, Corte Alessandro. "Lattice structures with pivoted beams : Homogenization and nonlinear elasticity results." Thesis, Toulon, 2017. http://www.theses.fr/2017TOUL0019/document.

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Cette thèse est consacrée à la modélisation des structures fibreuses avec des milieuxcontinus généralisés. Dans l’Introduction, l'état de l'art concernant les milieuxcontinus généralisée et applications aux structures fibreuses sont décrits et lesproblèmes ouverts pertinents sont mis en évidence. Dans le Chapitre 1 et 2, uneprocédure d'homogénéisation rigoureuse basée sur des arguments de Gammaconvergenceest appliquée à une structure en treillis et à un model de poutrediscrétisé. Dans le Chapitre 3, un traitement variationnel est utilisé pour formuler unapproche favorable du point de vue numérique. Dans le Chapitre 4 sont discutées lesrésultats expérimentaux concernant le comportement de la structure dans différentstypes de déformation. Cela à motivé les études effectuées dans le Chapitre 5, ou lesMéthodes directes de calcul des variations sont appliquées à poutres d’Euler engrandes déformations
This thesis focuses on the mathematical modeling of fibrous structures having somepeculiar properties (high strength-to-weight ratio and very good toughness infracture), whose mechanical behavior escapes from standard Cauchy elasticity. Inparticular, it addresses cases in which the presence of a microstructure, consisting ofregularly spaced pivoted beams, entails effects that are well described by generalizedcontinuum models, i.e. models in which the deformation energy density depends notonly on the gradient of the placement but also on the second (and possibly higher)gradients of it. In the Introduction, the state of the art concerning generalizedcontinua and their applications for the description of fibrous structures is describedand some relevant open problems are highlighted. In Chapter 1 and 2 a rigoroushomogenization procedure based on Gamma-convergence arguments is performedfor a lattice (truss-like) structure and for a discrete 1D system (Hencky-type beammodel). In Chapter 3, a variational treatment is employed to formulate acomputationally convenient approach. In Chapter 4 some experimental resultsconcerning the behavior of the structure in various kinds of deformation arediscussed. This motivated the investigation performed in Chapter 5, in which DirectMethods of Calculus of Variations are applied to Euler beams in large deformationsunder distributed load
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Runa, Eris [Verfasser]. "Mathematical Analysis of Lattice gradient models & Nonlinear Elasticity / Eris Runa." Bonn : Universitäts- und Landesbibliothek Bonn, 2015. http://d-nb.info/1079273298/34.

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Pyykkönen, A. (Ari). "Parity symmetry-breaking phase transition in a nonlinear Rabi-Hubbard lattice." Master's thesis, University of Oulu, 2015. http://urn.fi/URN:NBN:fi:oulu-201512082290.

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Lattices consisting of cavity QED and circuit QED elements have come under focus as a platform for studying several novel quantum phenomena. In particular, a lattice of Rabi systems described by the Rabi-Hubbard model is expected to display a new Z2 parity symmetry-breaking phase transition of light between a Rabi insulator and a delocalized superradiant phase. In this thesis, we examine a superconducting circuit called the artificial trapped ion as a means to realize a nonlinear Rabi-Hubbard lattice. We use mean field theory and second-order perturbation theory to derive an expression for the boundary of the phase transition and calculate it numerically. We show that nonlinearity in the light-matter coupling results in nontrivial behavior for the phase boundary, in the form of a peak arising at a certain strength of the nonlinearity. We also see a behavior of oscillation followed by saturation as the nonlinearity increases.
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Reichert, Thomas. "Development of 3D lattice models for predicting nonlinear timber joint behaviour." Thesis, Edinburgh Napier University, 2009. http://researchrepository.napier.ac.uk/Output/2827.

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This work presents the development of a three-dimensional lattice material model for wood and its application to timber joints including the potential strengthening benefit of second order effects. A lattice of discrete elements was used to capture the heterogeneity and fracture behaviour and the model results compared to tested Sitka spruce (Picea sitchensis) specimens. Despite the general applicability of lattice models to timber, they are computationally demanding, due to the nonlinear solution and large number of degrees of freedom required. Ways to reduce the computational costs are investigated. Timber joints fail due to plastic deformation of the steel fastener(s), embedment, or brittle fracture of the timber. Lattice models, contrary to other modelling approaches such as continuum finite elements, have the advantage to take into account brittle fracture, crack development and material heterogeneity by assigning certain strength and stiffness properties to individual elements. Furthermore, plastic hardening is considered to simulate timber embedment. The lattice is an arrangement of longitudinal, lateral and diagonal link elements with a tri-linear load-displacement relation. The lattice is used in areas with high stress gradients and normal continuum elements are used elsewhere. Heterogeneity was accounted for by creating an artificial growth ring structure and density profile upon which the mean strength and stiffness properties were adjusted. Solution algorithms, such as Newton-Raphson, encounter problems with discrete elements for which 'snap-back' in the global load-displacement curves would occur. Thus, a specialised solution algorithm, developed by Jirasek and Bazant, was adopted to create a bespoke FE code in MATLAB that can handle the jagged behaviour of the load displacement response, and extended to account for plastic deformation. The model's input parameters were calibrated by determining the elastic stiffness from literature values and adjusting the strength, post-yield and heterogeneity parameters of lattice elements to match the load-displacement from laboratory tests under various loading conditions. Although problems with the modified solution algorithm were encountered, results of the model show the potential of lattice models to be used as a tool to predict load-displacement curves and fracture patterns of timber specimens.
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Shi, Guangyu. "Nonlinear static and dynamic analyses of large-scale lattice-type structures and nonlinear active control by piezo actuators." Diss., Georgia Institute of Technology, 1988. http://hdl.handle.net/1853/19176.

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Books on the topic "Nonlinear lattice"

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Zhu, K. Nonlinear dynamic analysis of lattice structures. Brisbane: Universityof Queensland, Dept. of Civil Engineering, 1990.

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Zhu, K. Nonlinear dynamic analysis of lattice structures. Brisbane: Department of Civil Engineering, University of Queensland, 1992.

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Theory of nonlinear lattices. 2nd ed. Berlin: Springer-Verlag, 1989.

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G, Velarde Manuel, ed. Synergetic phenomena in active lattices: Patterns, waves, solitons, chaos. Berlin: Springer, 2002.

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NATO Advanced Research Workshop on Nonlinear Coherent Structures in Physics and Biology (1993 Bayreuth, Germany). Nonlinear coherent structures in physics and biology. New York: Plenum Press, 1994.

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Classical and quantum field theory of exactly soluble nonlinear systems. Singapore: World Scientific, 1985.

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Constellation shaping, nonlinear precoding, and trellis coding for voiceband telephone channel modems with emphasis on ITU-T recommendation V.34. Boston: Kluwer Academic Publishers, 2002.

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Tretter, Steven A. Constellation Shaping, Nonlinear Precoding, and Trellis Coding for Voiceband Telephone Channel Modems: With Emphasis on ITU-T Recommendation V.34. Boston, MA: Springer US, 2002.

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Toda, Morikazu. Theory of Nonlinear Lattices. Berlin, Heidelberg: Springer Berlin Heidelberg, 1989.

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Toda, Morikazu. Theory of Nonlinear Lattices. Berlin, Heidelberg: Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/978-3-642-83219-2.

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Book chapters on the topic "Nonlinear lattice"

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Capel, H. W., and F. Nijhoff. "Integrable Lattice Equations." In Springer Series in Nonlinear Dynamics, 38–57. Berlin, Heidelberg: Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/978-3-642-58045-1_4.

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Manktelow, Kevin L., Massimo Ruzzene, and Michael J. Leamy. "Wave Propagation in Nonlinear Lattice Materials." In Dynamics of Lattice Materials, 107–37. Chichester, UK: John Wiley & Sons, Ltd, 2017. http://dx.doi.org/10.1002/9781118729588.ch5.

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Toda, Morikazu. "The Lattice with Exponential Interaction." In Theory of Nonlinear Lattices, 14–41. Berlin, Heidelberg: Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/978-3-642-83219-2_2.

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Saitoh, N. "Three-Dimensional Lattice Model Based on Soliton Theory." In Nonlinear Physics, 205–13. Berlin, Heidelberg: Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/978-3-642-84148-4_20.

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Ma, Zhongshui, and Shuohong Guo. "Two-Dimensional Chiral Gauge Theories on a Lattice." In Nonlinear Physics, 221–26. Berlin, Heidelberg: Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/978-3-642-84148-4_22.

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Kleiber, Michał, and Czesław Woźniak. "Trusses, frames, lattice-type shells." In Nonlinear Mechanics of Structures, 251–362. Dordrecht: Springer Netherlands, 1991. http://dx.doi.org/10.1007/978-94-009-0577-1_6.

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Clayton, John D. "Residual Deformation from Lattice Defects." In Nonlinear Mechanics of Crystals, 337–78. Dordrecht: Springer Netherlands, 2010. http://dx.doi.org/10.1007/978-94-007-0350-6_7.

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Popowicz, Z. "Recent Results in Toda Lattice." In Springer Series in Nonlinear Dynamics, 212–25. Berlin, Heidelberg: Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/978-3-642-73193-8_14.

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Liu, Qiming. "Transformation for the Solutions of the Two-Dimensional Toda Lattice." In Nonlinear Physics, 227–30. Berlin, Heidelberg: Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/978-3-642-84148-4_23.

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Papageorgiou, V. G., F. W. Nijhoff, and H. W. Capel. "Lattice Equations and Integrable Mappings." In Nonlinear Evolution Equations and Dynamical Systems, 182–85. Berlin, Heidelberg: Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/978-3-642-84039-5_35.

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Conference papers on the topic "Nonlinear lattice"

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Jia, Shu, Wenjie Wan, and Jason W. Fleischer. "Lattice shock waves in nonlinear waveguide arrays." In Nonlinear Photonics. Washington, D.C.: OSA, 2007. http://dx.doi.org/10.1364/np.2007.nwb5.

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Egorov, O., U. Peschel, and F. Lederer. "Dissipative quadratic lattice solitons." In Nonlinear Guided Waves and Their Applications. Washington, D.C.: OSA, 2005. http://dx.doi.org/10.1364/nlgw.2005.fb3.

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Campbell, Russell, and Gian-Luca Oppo. "Lattice Solitons Stabilized by Localized Losses in Ring Configurations." In Nonlinear Photonics. Washington, D.C.: OSA, 2016. http://dx.doi.org/10.1364/np.2016.nth1a.5.

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Cramer, N. F., José Tito Mendonça, David P. Resendes, and Padma K. Shukla. "Nonlinear dust-lattice waves: a modified Toda lattice." In MULTIFACETS OF DUSTRY PLASMAS: Fifth International Conference on the Physics of Dusty Plasmas. AIP, 2008. http://dx.doi.org/10.1063/1.2996832.

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Koerner, Daniel, Björn Hendrik Wellegehausen, and Andreas Wipf. "MCRG Flow for the Nonlinear Sigma Model." In 31st International Symposium on Lattice Field Theory LATTICE 2013. Trieste, Italy: Sissa Medialab, 2014. http://dx.doi.org/10.22323/1.187.0052.

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Pezer, Robert, Hrvoje Buljan, Jason W. Fleischer, Guy Bartal, Oren Cohen, and Mordechai Segev. "Gap random-phase lattice solitons." In Nonlinear Guided Waves and Their Applications. Washington, D.C.: OSA, 2005. http://dx.doi.org/10.1364/nlgw.2005.wd31.

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Sooriyagoda, Rishmali, Herath P. Piyathilaka, Kevin T. Zawilski, Peter G. Schunemann, and Alan D. Bristow. "Electronic and electron-lattice properties of the nonlinear chalcopyrite crystal CdGeP2." In Nonlinear Photonics. Washington, D.C.: OSA, 2020. http://dx.doi.org/10.1364/np.2020.nptu2e.7.

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Wang, Kai, Lukas J. Maczewsky, Alexander A. Dovgiy, Andrey E. Miroshnichenko, Alexander Moroz, Demetrios N. Christodoulides, Alexander Szameit, and Andrey A. Sukhorukov. "High-dimensional synthetic lattice with enhanced defect sensitivity in planar photonic structures." In Nonlinear Photonics. Washington, D.C.: OSA, 2018. http://dx.doi.org/10.1364/np.2018.npth3i.3.

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Chekhovskoy, I. S., A. M. Rubenchik, O. V. Shtyrina, S. K. Turitsyn, and M. P. Fedoruk. "Nonlinear pulse combining and compression in multi-core fibers with hexagonal lattice." In Nonlinear Photonics. Washington, D.C.: OSA, 2016. http://dx.doi.org/10.1364/np.2016.nth4a.5.

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Efremidis, Nikolaos K., Jared Hudock, Demetrios N. Christodoulides, Jason W. Fleischer, Oren Cohen, and Mordechai Segev. "Two-dimensional optical discrete/lattice solitons." In Nonlinear Guided Waves and Their Applications. Washington, D.C.: OSA, 2004. http://dx.doi.org/10.1364/nlgw.2004.ma8.

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Reports on the topic "Nonlinear lattice"

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Elton, B. H., G. H. Rodrigue, and C. D. Levermore. Lattice Boltzmann methods for some 2-D nonlinear diffusion equations:Computational results. Office of Scientific and Technical Information (OSTI), January 1990. http://dx.doi.org/10.2172/6226434.

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2

Elton, A. B. H. A numerical theory of lattice gas and lattice Boltzmann methods in the computation of solutions to nonlinear advective-diffusive systems. Office of Scientific and Technical Information (OSTI), September 1990. http://dx.doi.org/10.2172/6480937.

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Ostendorp, Markus. Improved Methodology for Limit States Finite Element Analysis of Lattice Type Structures using Nonlinear Post-Buckling Member Performance. Portland State University Library, January 2000. http://dx.doi.org/10.15760/etd.1178.

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Segletes, Steven B. Application of Force and Energy Approaches to the Problem of a One-Dimensional, Fully Connected, Nonlinear-Spring Lattice Structure. Fort Belvoir, VA: Defense Technical Information Center, August 2015. http://dx.doi.org/10.21236/ada626102.

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Bathon, Leander. Probabilistic Determination of Failure Load Capacity Variations for Lattice Type Structures Based on Yield Strength Variations including Nonlinear Post-Buckling Member Performance. Portland State University Library, January 2000. http://dx.doi.org/10.15760/etd.1224.

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Yang, Jianke. Theory and Applications of Nonlinear Optics in Optically-Induced Photonic Lattices. Fort Belvoir, VA: Defense Technical Information Center, February 2012. http://dx.doi.org/10.21236/ada565296.

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