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Academic literature on the topic 'Nonlinears'

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Published: 30 May 2022
Last updated: 31 May 2022

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Journal articles on the topic "Nonlinears"

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Mikhlin, Yuri V., and Konstantin V. Avramov. "Nonlinears Normal Modes for Vibrating Mechanical Systems. Review of Theoretical Developments." Applied Mechanics Reviews 63, no. 6 (2010): 060802. http://dx.doi.org/10.1115/1.4003825.

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Šram, Miroslav, Zvonimir Vrselja, Igor Lekšan, Goran Ćurić, Kristina Selthofer-Relatić, and Radivoje Radić. "Epicardial Adipose Tissue Is Nonlinearly Related to Anthropometric Measures and Subcutaneous Adipose Tissue." International Journal of Endocrinology 2015 (2015): 1–6. http://dx.doi.org/10.1155/2015/456293.

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Introduction. Adipose tissue is the largest endocrine organ, composed of subcutaneous (SAT) and visceral adipose tissue (VAT), the latter being highly associated with coronary artery disease (CAD). Expansion of epicardial adipose tissue (EAT) is linked to CAD. One way of assessing the CAD risk is with low-cost anthropometric measures, although they are inaccurate and cannot discriminate between VAT and SAT. The aim of this study is to evaluate (1) the relationship between EAT thickness, SAT thickness and anthropometric measures in a cohort of patients assessed at the cardiology unit and (2) determine predictive power of anthropometric measures and EAT and SAT thickness in establishment of CAD.Methods. Anthropometric measures were obtained from 53 CAD and 42 non-CAD patients. Vascular and structural statuses were obtained with coronarography and echocardiography, as well as measurements of the EAT and SAT thickness.Results. Anthropometric measures showed moderate positive correlation with EAT and SAT thickness. Anthropometric measures and SAT follow nonlinearS curverelationship with EAT. Strong nonlinearpower curverelationship was observed between EAT and SAT thinner than 10 mm. Anthropometric measures and EAT and SAT were poor predictors of CAD.Conclusion. Anthropometric measures and SAT have nonlinear relationship with EAT. EAT thickness and anthropometric measures have similar CAD predictive value.
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Harbi, Abida. "Maximum Norm Analysis of an Arbitrary Number of Nonmatching Grids Method for Nonlinears Elliptic PDES." Journal of Applied Mathematics 2013 (2013): 1–21. http://dx.doi.org/10.1155/2013/893182.

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Safouhi, Hassan, and Philip Hoggan. "Three-center nuclear attraction, three-center two-electron Coulomb and hybrid integrals over B functions evaluated using the nonlinearS transformation." International Journal of Quantum Chemistry 90, no. 1 (2002): 119–35. http://dx.doi.org/10.1002/qua.962.

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TRUEBA, JOSÉ L., JOAQUÍN RAMS, and MIGUEL A. F. SANJUÁN. "ANALYTICAL ESTIMATES OF THE EFFECT OF NONLINEAR DAMPING IN SOME NONLINEAR OSCILLATORS." International Journal of Bifurcation and Chaos 10, no. 09 (September 2000): 2257–67. http://dx.doi.org/10.1142/s0218127400001419.

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This paper reports on the effect of nonlinear damping on certain nonlinear oscillators, where analytical estimates provided by the Melnikov theory are obtained. We assume general nonlinear damping terms proportional to the power of velocity. General and useful expressions for the nonlinearly damped Duffing oscillator and for the nonlinearly damped simple pendulum are computed. They provide the critical parameters in terms of the damping coefficient and damping exponent, that is, the power of the velocity, for which complicated behavior is expected. We also consider generalized nonlinear damped systems, which may contain several nonlinear damping terms. Using the idea of Melnikov equivalence, we show that the effect of nonlinear dissipation can be equivalent to a linearly damped nonlinear oscillator with a modified damping coefficient.
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Tejedor Sastre, María Teresa, and Christian Vanhille. "Nonlinear Maximization of the Sum-Frequency Component from Two Ultrasonic Signals in a Bubbly Liquid." Sensors 20, no. 1 (December 23, 2019): 113. http://dx.doi.org/10.3390/s20010113.

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Techniques based on ultrasound in nondestructive testing and medical imaging analyze the response of the source frequencies (linear theory) or the second-order frequencies such as higher harmonics, difference and sum frequencies (nonlinear theory). The low attenuation and high directivity of the difference-frequency component generated nonlinearly by parametric arrays are useful. Higher harmonics created directly from a single-frequency source and the sum-frequency component generated nonlinearly by parametric arrays are attractive because of their high spatial resolution and accuracy. The nonlinear response of bubbly liquids can be strong even at relatively low acoustic pressure amplitudes. Thus, these nonlinear frequencies can be generated easily in these media. Since the experimental study of such nonlinear waves in stable bubbly liquids is a very difficult task, in this work we use a numerical model developed previously to describe the nonlinear propagation of ultrasound interacting with nonlinearly oscillating bubbles in a liquid. This numerical model solves a differential system coupling a Rayleigh–Plesset equation and the wave equation. This paper performs an analysis of the generation of the sum-frequency component by nonlinear mixing of two signals of lower frequencies. It shows that the amplitude of this component can be maximized by taking into account the nonlinear resonance of the system. This effect is due to the softening of the medium when pressure amplitudes rise.
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Kotzev, Miroslav, Xiaotang Bi, Matthias Kreitlow, and Frank Gronwald. "Equivalent circuit simulation of HPEM-induced transient responses at nonlinear loads." Advances in Radio Science 15 (September 21, 2017): 175–80. http://dx.doi.org/10.5194/ars-15-175-2017.

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Abstract. In this paper the equivalent circuit modeling of a nonlinearly loaded loop antenna and its transient responses to HPEM field excitations are investigated. For the circuit modeling the general strategy to characterize the nonlinearly loaded antenna by a linear and a nonlinear circuit part is pursued. The linear circuit part can be determined by standard methods of antenna theory and numerical field computation. The modeling of the nonlinear circuit part requires realistic circuit models of the nonlinear loads that are given by Schottky diodes. Combining both parts, appropriate circuit models are obtained and analyzed by means of a standard SPICE circuit simulator. It is the main result that in this way full-wave simulation results can be reproduced. Furthermore it is clearly seen that the equivalent circuit modeling offers considerable advantages with respect to computation speed and also leads to improved physical insights regarding the coupling between HPEM field excitation and nonlinearly loaded loop antenna.
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Liu, Lijun. "A simple nonlinearH∞control design method: Polynomial nonlinear control." International Journal of Robust and Nonlinear Control 28, no. 17 (September 12, 2018): 5406–23. http://dx.doi.org/10.1002/rnc.4322.

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Gu, Xiyao, Junlian Yin, Jintao Liu, and Yulin Wu. "A Nonlineark-εTurbulence Model Applicable to High Pressure Gradient and Large Curvature Flow." Mathematical Problems in Engineering 2014 (2014): 1–9. http://dx.doi.org/10.1155/2014/405202.

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Most of the RANS turbulence models solve the Reynolds stress by linear hypothesis with isotropic model. They can not capture all kinds of vortexes in the turbomachineries. In this paper, an improved nonlineark-εturbulence model is proposed, which is modified from the RNGk-εturbulence model and Wilcox'sk-ωturbulence model. The Reynolds stresses are solved by nonlinear methods. The nonlineark-εturbulence model can calculate the near wall region without the use of wall functions. The improved nonlineark-εturbulence model is used to simulate the flow field in a curved rectangular duct. The results based on the improved nonlineark-εturbulence model agree well with the experimental results. The calculation results prove that the nonlineark-εturbulence model is available for high pressure gradient flows and large curvature flows, and it can be used to capture complex vortexes in a turbomachinery.
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Zahariev, Andrey, and Hristo Kiskinov. "Asymptotic Stability of the Solutions of Neutral Linear Fractional System with Nonlinear Perturbation." Mathematics 8, no. 3 (March 10, 2020): 390. http://dx.doi.org/10.3390/math8030390.

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In this article existence and uniqueness of the solutions of the initial problem for neutral nonlinear differential system with incommensurate order fractional derivatives in Caputo sense and with piecewise continuous initial function is proved. A formula for integral presentation of the general solution of a linear autonomous neutral system with several delays is established and used for the study of the stability properties of a neutral autonomous nonlinear perturbed linear fractional differential system. Natural sufficient conditions are found to ensure that from global asymptotic stability of the zero solution of the linear part of a nonlinearly perturbed system it follows global asymptotic stability of the zero solution of the whole nonlinearly perturbed system.
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Dissertations / Theses on the topic "Nonlinears"

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Tretter, Christiane. "On l-nonlinear [lambda-nonlinear] boundary eigenvalue problems /." Berlin : Akad.-Verl, 1993. http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&doc_number=004392929&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA.

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Meier, Joachim. "DISCRETE NONLINEAR WAVE PROPAGATION IN KERR NONLINEAR MEDIA." Doctoral diss., University of Central Florida, 2004. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/2900.

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Discrete optical systems are a subgroup of periodic structures in which the evolution of a continuous electromagnetic field can be described by a discrete model. In this model, the total field is the sum of localized, discrete modes. Weakly coupled arrays of single mode channel waveguides have been known to fall into this class of systems since the late 1960's. Nonlinear discrete optics has received a considerable amount of interest in the last few years, triggered by the experimental realization of discrete solitons in a Kerr nonlinear AlGaAs waveguide array by H. Eisenberg and coworkers in 1998. In this work a detailed experimental investigation of discrete nonlinear wave propagation and the interactions between beams, including discrete solitons, in discrete systems is reported for the case of a strong Kerr nonlinearity. The possibility to completely overcome "discrete" diffraction and create highly localized solitons, in a scalar or vector geometry, as well as the limiting factors in the formation of such nonlinear waves is discussed. The reversal of the sign of diffraction over a range of propagation angles leads to the stability of plane waves in a material with positive nonlinearity. This behavior can not be found in continuous self-focusing materials where plane waves are unstable against perturbations. The stability of plane waves in the anomalous diffraction region, even at highest powers, has been experimentally verified. The interaction of high power beams and discrete solitons in arrays has been studied in detail. Of particular interest is the experimental verification of a theoretically predicted unique, all optical switching scheme, based on the interaction of a so called "blocker" soliton with a second beam. This switching method has been experimentally realized for both the coherent and incoherent case. Limitations of such schemes due to nonlinear losses at the required high powers are shown.
Ph.D.
Other
Optics and Photonics
Optics
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Reynard, D. M. "Nonlinear estimation." Thesis, University of Newcastle Upon Tyne, 1993. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.336142.

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Stepanyan, Anush. "Nonlinear preservers." Doctoral thesis, Université Laval, 2016. http://hdl.handle.net/20.500.11794/26928.

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Dans cette thèse, nous sommes intéressés par des problèmes de préservation des applications non-linéaires entre deux algèbres de Banach complexes unitaires A et B. En général, ces problèmes demandent la caractérisation des applications φ : A → B non nécessairement linéaires, qui laissent invariant une propriété, une relation ou un sous-ensemble. Dans le Chapitre 3, la description des applications surjectives φ de B(X) sur B(Y), qui satisfont c(φ(S)±φ(T)) = c(S ± T), (S, T ∈ B(X)), est donnée, où c(·) représente soit le module minimal, ou le module de surjectivité ou le module maximal et B(X) (resp. B(Y)) dénote l’algèbre de tous les opérateurs linéaires et bornés sur X (resp. sur Y). Dans le Chapitre 4, une question similaire pour la conorme des opérateurs, est considérée. La caractérisation des applications bicontinues et bijectives φ deB(X) surB(Y), qui satisfont γ(φ(S ± φ(T)) = γ(S ± T), (S, T ∈ B(X)), est obtenue. Le Chapitre 5 est consacré à la description des applications surjectives φ1, φ2 d’une algèbre de Banach semisimple A sur une algèbre de Banach B avec un socle essentiel, qui satisfont σ(φ1(a)φ2(b)) = σ(ab), (a, b ∈ A). Aussi, la caractérisation des applications φ de A sur B, sous les mêmes hypothèses sur A et B, qui satisfont σ(φ(a)φ(b)φ(a)) = σ(aba), (a, b ∈ A), est donnée. Comme conséquences, nous incluons les résultats obtenus au cas des algèbres B(X) et B(Y).
In this thesis, we are interested in nonlinear preserver problems. In a general formulation, these demand the characterization of a map φ : A → B, which is not supposed to be linear and leaves a certain property, particular relation, or even a subset invariant, where A and B are complex Banach algebras with unit. In Chapter 3, the description of maps φ from B(X) onto B(Y) satisfying c(φ(S)±φ(T)) = c(S ± T), (S, T ∈ B(X)), is given, where c(·) stands either for the minimum modulus, or the surjectivity modulus, or the maximum modulus and B(X) (resp. B(Y)) denotes the algebra of all bounded linear operators on a Banach space X (resp. on Y). In Chapter 4, a similar question for the reduced minimum modulus of operators, is considered. The characterization of bijective bicontinuous maps φ from B(X) to B(Y) satisfying γ(φ(S ± φ(T)) = γ(S ± T), (S, T ∈ B(X)), is obtained. Chapter 5 is devoted to description of maps φ1, φ2 from a semisimple Banach algebra A onto a Banach algebra B with an essential socle, that satisfy σ(φ1(a)φ2(b)) = σ(ab), (a, b ∈ A). Also, the characterization of maps φ from A onto B, under the same assumptions on A and B, satisfying σ(φ(a)φ(b)φ(a)) = σ(aba), (a, b ∈ A), is given. The corollaries for algebras B(X) and B(Y), that follow immediately from the results, are included.
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Xie, (Lily) Hong 1965. "Contaminant transport coupled with nonlinear biodegradation and nonlinear sorption." Diss., The University of Arizona, 1996. http://hdl.handle.net/10150/290676.

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A coupled process one-dimensional model with two-region transport, two-domain nonlinear sorption, and nonlinear biodegradation is formulated in this research. A numerical code is developed for this complex system with two sets of initial/boundary conditions. The second order upwind method is used to solve PDEs of the system, and the Adam-Bashforth three step method is used to solve ODEs of the system. By nondimensionalizing the governing equations for transport and nonlinear biodegradation, we show that biodegradation is controlled by three characteristic combined factors: the effective maximum specific growth rate, the relative half-saturation constant, and the relative substrate-utilization coefficient. A diagram with type curves was constructed based on the three characteristic factors to show the conditions under which complete and incomplete biodegradation is observed, and the conditions for which the linear, first-order approximation is valid for representing biodegradation. Analytical and numerical approaches were used to study the effect of substrate boundary concentration on biodegradation in a coupled-process system. For a system with fixed biotic and abiotic properties, substrate input concentration could be positively or negatively correlated to the magnitude of substrate degradation, depending on the time scale of the process. The relative scale of substrate concentration and its half-saturation constant is very important for the success and efficiency of bioremediation. It is found that bioremediation can be more efficient for higher concentration contaminant under certain conditions. The impact of biodegradation on solute transport with linear or nonlinear, equilibrium sorption was studied by using moments analysis. Computation results show that linear biodegradation has no impact on spatial moments of transport with linear instantaneous sorption. Conversely, it has an impact when sorption is nonlinear, since nonlinear sorption is enhanced by biodegradation. Nonlinear biodegradation causes preferential non-uniform substrate degradation and, therefore, affects spatial moments of transport with linear or nonlinear sorption. The oxygen constraint decreases the degree of nonlinear biodegradation and increases the degree of preferential degradation, thus it also impacts spatial moments of transport with linear or nonlinear sorption.
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Aceves, Alejandro Borbolla. "Snell's laws at the interface between nonlinear dielectrics." Diss., The University of Arizona, 1988. http://hdl.handle.net/10150/184467.

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A theory is presented which describes the global reflection and transmission characteristics of a self-focused channel propagating at an oblique angle of incidence to an interface separating two or more self-focusing nonlinear dielectric media. A complete characterization of the different behavior of the channel is given in the proper parameter space. In the dominant region, the nonlinear wavepacket representing the self-focused channel is represented as an equivalent particle moving in an equivalent potential. The dynamics of the particle is described by Newton's equations of motion, with the asymptotic propagation paths of the channel being read off from the associated phase planes of the equivalent potential. This theory provides therefore, the nonlinear Snell's Laws of refleciton or transmission since the particle dynamics gives the critical angle of total reflection and in the case of transmission, the corresponding angle of transmission. This theory also gives the stability characteristics of nonlinear surface waves, which had only been partially established in the past through numerical simulations. Finally, some applications of the theory are presented such as the design of an all-optical power adjustable spatial scanning element and an all optical switch. Extensions of the theory to waveguides with multiple interfaces are also given and possible new directions are also suggested.
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Savvidis, Petros. "Nonlinear control : an LPV nonlinear predictive generalised minimum variance perspective." Thesis, University of Strathclyde, 2017. http://digitool.lib.strath.ac.uk:80/R/?func=dbin-jump-full&object_id=27947.

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This thesis describes new developments in nonlinear controllers for industrial applications. It first introduces the Nonlinear Generalised Minimum Variance (NGMV) control algorithm, for Linear Parameter Varying systems (LPV). This combines the benefits of the basic NGMV algorithm in dealing with nonlinearities, where a black box input model can be used, and adds an option to also approximate a nonlinear system with an LPV output subsystem. The models can therefore represent LPV systems and characteristics including saturation, discontinuities and time-varying dynamics. The next major contribution is in the nonlinear predictive control algorithms proposed that are also using the LPV model structure. The simplest is the Nonlinear Generalized Predictive Control (NGPC) algorithm that relates to the best known model predictive control law for linear systems. The final predictive control solution is one that may be specialized to either the NGMV or NGPC cases and is therefore the most general. This is referred to as a Nonlinear Predictive Generalized Minimum Variance Controller (NPGMV). When the algorithms use only the LPV structure to approximate the nonlinear system the solutions are particularly simple in unconstrained and constrained versions, and are relatively light computationally for implementation. Three representative industrial design examples have been chosen to validate the algorithms for different Bandwidth (BW) and nonlinear characteristics. All three examples were based on real application problems with company interest. In the first example (small BW) the basic state-space and LPV versions of the algorithm are used for the auto-manoeuvring and dynamic positioning of marine vessel. In this application the parameter variations were representative of wave disturbance changes with sea state, rather than due to approximating nonlinear behaviour. Actuator constraints were considered in the design. In the second industrial example (medium BW) the LPV-NPGMV was implemented for controlling the blade pitch and generator torque of a 5MW offshore wind turbine. The main objective here was to maintain the power produced at the rated value which requires compensation against wind disturbances, so that wind speed is the varying parameter. The LPV-NPGMV controller produced here used a parameterised system model involving the wind speed so that the controller performance changed with wind conditions. Actuator constraints were included and statistical performance assessed. The third example (fast BW) explores the stabilisation of a 2-axis gyroscopic electro-optical turret used in surveillance applications. This application was designed and employed on a real system. Because of the limitations imposed by BW requirements and the memory of the digital controller, only the basic state-space version of the algorithm was possible to implement. The main objective in this problem was to improve the tracking performance around the NADIR singularity point (a discontinuity) in the trajectory. In all three examples the NGMV controllers showed notable improvement in comparison to the baseline controllers without the need for scheduled gains or re-configuration when moving across different operating points.
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Ungan, Cahit Ugur. "Nonlinear Image Restoration." Master's thesis, METU, 2005. http://etd.lib.metu.edu.tr/upload/2/12606796/index.pdf.

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This thesis analyzes the process of deblurring of degraded images generated by space-variant nonlinear image systems with Gaussian observation noise. The restoration of blurred images is performed by using two methods
a modified version of the Optimum Decoding Based Smoothing Algorithm and the Bootstrap Filter Algorithm which is a version of Particle Filtering methods. A computer software called MATLAB is used for performing the simulations of image estimation. The results of some simulations for various observation and image models are presented.
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Grün, Alexander. "Nonlinear pulse compression." Doctoral thesis, Universitat Politècnica de Catalunya, 2014. http://hdl.handle.net/10803/284879.

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In this thesis I investigate two methods for generating ultrashort laser pulses in spectral regions which are ordinarily difficult to achieve by the existing techniques. These pulses are specially attractive in the study of ultrafast (few femtosecond) atomic and molecular dynamics. The first involves Optical Parametric Amplification (OPA) mediated by four-wave-mixing in gas and supports the generation of ultrashort pulses in the Near-InfraRed (NIR) to the Mid-InfraRed (MIR) spectral region. By combining pulses at a centre wavelength of 800 nm and their second harmonic in an argon-filled hollow-core fibre, we demonstrate near-infrared pulses, peaked at 1.4 µm, with 5 µJ energy and 45 fs duration at the fibre output. The four-wave-mixing process involved in the OPA is expected to lead carrier-envelope phase stable pulses which is of great importance for applications in extreme nonlinear optics. These NIR to MIR pulses can be used directly for nonlinear light-matter interactions making use of its long-wavelength characteristics. The second method allows the compression of intense femtosecond pulses in the ultraviolet (UV) region by sum-frequency mixing two bandwidth limited NIR pulses in a noncollinear phasematching geometry under particular conditions of group-velocity mismatch. Specifically, the crystal has to be chosen such that the group velocities of the NIR pump pulses, v1 and v2 , and of the sum-frequency generated pulse, vSF, meet the following condition, v1 < vSF < v2. In case of strong energy exchange and an appropriate pre-delay between the pump waves, the leading edge of the faster pump pulse and the trailing edge of the slower one are depleted. This way the temporal overlap region of the pump pulses remains narrow resulting in the shortening of the upconverted pulse. The noncollinear beam geometry allows to control the relative group velocities while maintaining the phasematching condition. To ensure parallel wavefronts inside the crystal and that the sum-frequency generated pulses emerge untilted, pre-compensation of the NIR pulse-front tilts is essential. I show that these pulse-front tilts can be achieved using a very compact setup based on transmission gratings and a more complex setup based on prisms combined with telescopes. UV pulses as short as 32 fs (25 fs) have been generated by noncollinear nonlinear pulse compression in a type II phasematching BBO crystal, starting with NIR pulses of 74 fs (46 fs) duration. This is of interest, because there is no crystal that can be used for nonlinear pulse compression at wavelengths near 800 nm in a collinear geometry. Compared to state-of-the-art compression techniques based on self-phase modulation, pulse compression by sum-frequency generation is free of aperture limitation, and thus scalable in energy. Such femtosecond pulses in the visible and in the ultraviolet are strongly desired for studying ultrafast dynamics of a variety of (bio)molecular systems.
En esta tesis he investigado dos métodos para generar pulsos láser ultracortos en regiones espectrales que son típicamente difíciles de lograr con las técnicas existentes. Estos pulsos son especialmente atractivos en el estudio de la dinámica ultrarrápida (pocos femtosegundos) en átomos y moléculas. La primera técnica implica Amplificación Paramétrica Óptica (OPA) mediante mezcla de cuatro ondas en fase gaseosa y soporta la generación de pulsos ultracortos desde el Infrarrojo-Cercano (NIR) hasta la región espectral del Infrarrojo-Medio (MIR). Mediante la combinación de pulsos centrados a una longitud de onda de 800 nm y su segundo armónico en una fibra hueca rellena de argón, hemos demostrado a la salida de la fibra la generación de pulsos en el NIR, centrados a 1.4 µm, con 5 µJ de energía y 45 fs de duración. Se espera que el proceso de mezcla de cuatro ondas involucrado en el OPA lleve a pulsos con fase de la envolvente de la portadora estables, ya que es de gran importancia para aplicaciones en óptica extrema no lineal. Estos pulsos desde el NIR hasta el MIR se pueden utilizar directamente en interacciones no-lineales materia-radiación, haciendo uso de sus características de longitud de onda largas. El segundo método permite la compresión de pulsos intensos de femtosegundos en la región del ultravioleta (UV) mediante la mezcla de suma de frecuencias de dos pulsos en el NIR limitados en el ancho de banda en una geometría de ajuste de fases no-colineal bajo condiciones particulares de discrepancia de velocidades de grupo. Específicamente, el cristal debe ser elegido de tal manera que las velocidades de grupo de los pulsos de bombeo del NIR, v1 y v2, y la del pulso suma-de-frecuencias generado, vSF, cumplan la siguiente condición, v1 < vSF < v2. En el caso de un fuerte intercambio de energía y un pre-retardo adecuado entre las ondas de bombeo, el borde delantero del pulso de bombeo más rápido y el borde trasero del más lento se agotan. De esta manera la región de solapamiento temporal de los impulsos de bombeo permanece estrecha, resultando en el acortamiento del impulso generado. La geometría de haces no-colineales permite controlar las velocidades de grupo relativas mientras mantiene la condición de ajuste de fase. Para asegurar frentes de onda paralelos dentro del cristal y que los pulsos generados por suma de frecuencias se generen sin inclinación, es esencial la pre-compensación de la inclinación de los frente de onda de los pulsos NIR. En esta tesis se muestra que estas inclinaciones de los frentes de onda se pueden lograr utilizando una configuración muy compacta basada en rejillas de transmisión y una configuración más compleja basada en prismas combinados con telescopios. Pulsos en el UV tan cortos como 32 fs (25 fs) se han generado mediante compresión de pulsos no-lineal no-colineal en un cristal BBO de ajuste de fase tipo II, comenzando con pulsos en el NIR de 74 fs (46 fs) de duración. El interés de este método radica en la inexistencia de cristales que se puedan utilizar para la compresión de impulsos no-lineal a longitudes de onda entorno a 800 nm en una geometría colineal. En comparación con las técnicas de última generación de compresión basadas en la automodulación de fase, la compresión de pulsos por suma de frecuencias esta libre de restricciones en la apertura de los pulsos, y por lo tanto es expandible en energía. Tales pulsos de femtosegundos en el visible y en el ultravioleta son fuertemente deseados en el estudio de dinámica ultrarrápida de una gran variedad de sistemas (bio)moleculares.
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Murray, Nicholas Durante. "Nonlinear PID controller." Thesis, This resource online, 1990. http://scholar.lib.vt.edu/theses/available/etd-03242009-040653/.

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Books on the topic "Nonlinears"

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Gaeta, Giuseppe. Nonlinear Symmetries and Nonlinear Equations. Dordrecht: Springer Netherlands, 1994.

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Gaeta, Giuseppe. Nonlinear symmetries and nonlinear equations. Dordrecht: Kluwer Academic Publishers, 1994.

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Gaeta, Giuseppe. Nonlinear symmetries and nonlinear equations. Dordrecht: Kluwer Academic, 1994.

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Gaeta, Giuseppe. Nonlinear Symmetries and Nonlinear Equations. Dordrecht: Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-011-1018-1.

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Nonlinear systems. Englewood Cliffs, N.J: Prentice Hall, 1991.

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Bloembergen, N. Nonlinear optics. Redwood City, Calif: Addison-Wesley Pub. Co., Advanced Book Program, 1991.

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Seber, G. A. F. Nonlinear regression. Hoboken, N.J: Wiley-Interscience, 2003.

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Nonlinear systems. 3rd ed. Upper Saddle River: Pearson Prentice-Hall, 2000.

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Nonlinear mechanics. Boca Raton: CRC Press, 1993.

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Nonlinear semigroups. Providence, R.I: American Mathematical Society, 1992.

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Book chapters on the topic "Nonlinears"

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Weik, Martin H. "nonlinear." In Computer Science and Communications Dictionary, 1107. Boston, MA: Springer US, 2000. http://dx.doi.org/10.1007/1-4020-0613-6_12427.

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Breazeale, Mack A. "How Nonlinear Can Nonlinear Be?" In Review of Progress in Quantitative Nondestructive Evaluation, 2043–50. Boston, MA: Springer US, 1993. http://dx.doi.org/10.1007/978-1-4615-2848-7_262.

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Meulman, Jacqueline J., and Willem J. Heiser. "Nonlinear Biplots for Nonlinear Mappings." In Information and Classification, 201–13. Berlin, Heidelberg: Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/978-3-642-50974-2_20.

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Evensen, Geir, Femke C. Vossepoel, and Peter Jan van Leeuwen. "A Kalman Filter with the Roessler Model." In Springer Textbooks in Earth Sciences, Geography and Environment, 131–38. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-96709-3_12.

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AbstractIn this chapter, we discuss an application of the Kalman filter on simple systems to study its behavior in linear and nonlinear situations. We will use the Roessler model, which we can configure both as a linear and nonlinear system. We start with the linear system, for which the Kalman filter provides an exact and optimal solution, and then study the extended Kalman filter’s performance in the nonlinear system.
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Gaeta, Giuseppe. "Bifurcation problems." In Nonlinear Symmetries and Nonlinear Equations, 97–121. Dordrecht: Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-011-1018-1_6.

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Gaeta, Giuseppe. "Geometric setting." In Nonlinear Symmetries and Nonlinear Equations, 1–22. Dordrecht: Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-011-1018-1_1.

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Gaeta, Giuseppe. "Equations of Physics." In Nonlinear Symmetries and Nonlinear Equations, 205–22. Dordrecht: Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-011-1018-1_10.

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Gaeta, Giuseppe. "Symmetries and their use." In Nonlinear Symmetries and Nonlinear Equations, 23–44. Dordrecht: Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-011-1018-1_2.

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Gaeta, Giuseppe. "Examples." In Nonlinear Symmetries and Nonlinear Equations, 45–54. Dordrecht: Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-011-1018-1_3.

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Gaeta, Giuseppe. "Evolution equations." In Nonlinear Symmetries and Nonlinear Equations, 55–82. Dordrecht: Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-011-1018-1_4.

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Conference papers on the topic "Nonlinears"

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Adetola, Veronica, Devon Lehrer, and Martin Guay. "Adaptive estimation in nonlinearly parameterized nonlinear dynamical systems." In 2011 American Control Conference. IEEE, 2011. http://dx.doi.org/10.1109/acc.2011.5991365.

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Kovacev, Milutin, Liping Shi, and Uwe Morgner. "Strong-Field Ultrafast Optics and Nanofabrication using Plasmonic Metasurfaces." In Nonlinear Optics. Washington, D.C.: OSA, 2019. http://dx.doi.org/10.1364/nlo.2019.ntu3a.6.

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Zimin, Dmitry A., Shawn Sederberg, Sabine Keiber, Florian Siegrist, Michael Wismer, Vladislav S. Yakovlev, Isabella Floss, et al. "Attosecond control of charged carriers and waveform sampling in solids." In Nonlinear Optics. Washington, D.C.: OSA, 2019. http://dx.doi.org/10.1364/nlo.2019.ntu3a.7.

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Wells, B. M., A. Yu Bykov, G. Marino, M. E. Nasir, A. V. Zayats, and V. A. Podolskiy. "Strong Structural Nonlinearity from Plasmonic Metamaterials in the Infrared." In Nonlinear Optics. Washington, D.C.: OSA, 2019. http://dx.doi.org/10.1364/nlo.2019.ntu3a.8.

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Ebrahim-Zadeh, M. "Optical Parametric Oscillators: New Breakthroughs in Mid-Infrared." In Nonlinear Optics. Washington, D.C.: OSA, 2019. http://dx.doi.org/10.1364/nlo.2019.ntu3b.1.

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Benis, Sepehr, Natalia Munera, Eric W. Van Stryland, and David J. Hagan. "Z-scan and beam-deflection measurements of Indium-Tin- Oxide at epsilon-near-zero." In Nonlinear Optics. Washington, D.C.: OSA, 2019. http://dx.doi.org/10.1364/nlo.2019.ntu3b.2.

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Jain, D., R. Sidharthan, P. Bowen, P. M. Moselund, S. Yoo, and O. Bang. "Ultra flat mid-infrared supercontinuum source based on concatenation of Thulium and Germania doped silica fibers." In Nonlinear Optics. Washington, D.C.: OSA, 2019. http://dx.doi.org/10.1364/nlo.2019.ntu3b.3.

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Sohn, Byoung-Uk, Ju Won Choi, Doris K. T. Ng, and Dawn T. H. Tan. "Nonlinear optical properties of ultra-silicon-rich nitride." In Nonlinear Optics. Washington, D.C.: OSA, 2019. http://dx.doi.org/10.1364/nlo.2019.ntu3b.4.

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Das, Ananda, Connor Wolenski, and Wounjhang Park. "Direct measurements of optical nonlinearity in indium tin oxide nanoparticles." In Nonlinear Optics. Washington, D.C.: OSA, 2019. http://dx.doi.org/10.1364/nlo.2019.ntu3b.5.

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Bae, Kyuyoung, Jiangang Zhu, Michael B. Grayson, Mo Zohrabi, Connor Wolenski, Thomas M. Horning, Juliet T. Gopinath, and Wounjhang Park. "High-quality factor, nonlinear indium tin oxide nanoparticle-coated silica microsphere." In Nonlinear Optics. Washington, D.C.: OSA, 2019. http://dx.doi.org/10.1364/nlo.2019.ntu3b.6.

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Reports on the topic "Nonlinears"

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Muhlestein, Michael, and Carl Hart. Geometric-acoustics analysis of singly scattered, nonlinearly evolving waves by circular cylinders. Engineer Research and Development Center (U.S.), October 2020. http://dx.doi.org/10.21079/11681/38521.

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Geometric acoustics, or acoustic ray theory, is used to analyze the scattering of high-amplitude acoustic waves incident upon rigid circular cylinders. Theoretical predictions of the nonlinear evolution of the scattered wave field are provided, as well as measures of the importance of accounting for nonlinearity. An analysis of scattering by many cylinders is also provided, though the effects of multiple scattering are not considered. Provided the characteristic nonlinear distortion length is much larger than a cylinder radius, the nonlinear evolution of the incident wave is shown to be of much greater importance to the overall evolution than the nonlinear evolution of the individual scattered waves.
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Muhlestein, Michael, and Carl Hart. Numerical analysis of weak acoustic shocks in aperiodic array of rigid scatterers. Engineer Research and Development Center (U.S.), October 2020. http://dx.doi.org/10.21079/11681/38579.

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Nonlinear propagation of shock waves through periodic structures have the potential to exhibit interesting phenomena. Frequency content of the shock that lies within a bandgap of the periodic structure is strongly attenuated, but nonlinear frequency-frequency interactions pumps energy back into those bands. To investigate the relative importance of these propagation phenomena, numerical experiments using the Khokhlov-Zabolotskaya-Kuznetsov (KZK) equation are carried out. Two-dimensional propagation through a periodic array of rectangular waveguides is per-formed by iteratively using the output of one waveguide as the input for the next waveguide. Comparison of the evolution of the initial shock wave for both the linear and nonlinear cases is presented.
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Hart, Carl R., and Gregory W. Lyons. A Measurement System for the Study of Nonlinear Propagation Through Arrays of Scatterers. Engineer Research and Development Center (U.S.), November 2020. http://dx.doi.org/10.21079/11681/38621.

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Various experimental challenges exist in measuring the spatial and temporal field of a nonlinear acoustic pulse propagating through an array of scatterers. Probe interference and undesirable high-frequency response plague typical approaches with acoustic microphones, which are also limited to resolving the pressure field at a single position. Measurements made with optical methods do not have such drawbacks, and schlieren measurements are particularly well suited to measuring both the spatial and temporal evolution of nonlinear pulse propagation in an array of scatterers. Herein, a measurement system is described based on a z-type schlieren setup, which is suitable for measuring axisymmetric phenomena and visualizing weak shock propagation. In order to reduce directivity and initiate nearly spherically-symmetric propagation, laser induced breakdown serves as the source for the nonlinear pulse. A key component of the schlieren system is a standard schliere, which allows quantitative schlieren measurements to be performed. Sizing of the standard schliere is aided by generating estimates of the expected light refraction from the nonlinear pulse, by way of the forward Abel transform. Finally, considerations for experimental sequencing, image capture, and a reconfigurable rod array designed to minimize spurious wave interactions are specified. 15.
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Odom, Robert I. Nonlinear Inversion. Fort Belvoir, VA: Defense Technical Information Center, September 2010. http://dx.doi.org/10.21236/ada542163.

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Newhouse, Sheldon E. Nonlinear Dynamics. Fort Belvoir, VA: Defense Technical Information Center, July 1991. http://dx.doi.org/10.21236/ada251271.

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Odom, Robert I. Nonlinear Inversion. Fort Belvoir, VA: Defense Technical Information Center, September 2009. http://dx.doi.org/10.21236/ada531411.

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Kevorkian, J. Nonlinear resonance. Office of Scientific and Technical Information (OSTI), April 1990. http://dx.doi.org/10.2172/6996969.

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Odom, Robert I. Nonlinear Inversion from Nonlinear Filters for Ocean Acoustics. Fort Belvoir, VA: Defense Technical Information Center, September 2006. http://dx.doi.org/10.21236/ada612664.

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Odom, Robert I. Nonlinear Inversion from Nonlinear Filters for Ocean Acoustics. Fort Belvoir, VA: Defense Technical Information Center, September 2007. http://dx.doi.org/10.21236/ada573392.

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Beran, Philip S., Ned J. Lindsley, Jose Camberos, and Mohammad Kurdi. Stochastic Nonlinear Aeroelasticity. Fort Belvoir, VA: Defense Technical Information Center, January 2009. http://dx.doi.org/10.21236/ada494780.

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