Academic literature on the topic 'Integral of almost Periodic Functions'

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Journal articles on the topic "Integral of almost Periodic Functions"

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Finkelstein, Mark, and Robert Whitley. "Eigenvalues, Almost Periodic Functions, and the Derivative of an Integral." American Mathematical Monthly 112, no. 7 (2005): 639. http://dx.doi.org/10.2307/30037548.

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Finkelstein, Mark, and Robert Whitley. "Eigenvalues, Almost Periodic Functions, and the Derivative of an Integral." American Mathematical Monthly 112, no. 7 (2005): 639–41. http://dx.doi.org/10.1080/00029890.2005.11920234.

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Coronel, Aníbal, Manuel Pinto, and Daniel Sepúlveda. "Weighted pseudo almost periodic functions, convolutions and abstract integral equations." Journal of Mathematical Analysis and Applications 435, no. 2 (2016): 1382–99. http://dx.doi.org/10.1016/j.jmaa.2015.11.034.

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Molteni, G. "Limits of integrals involving almost periodic functions." Results in Mathematics 46, no. 3-4 (2004): 361–66. http://dx.doi.org/10.1007/bf03322888.

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Arguedas, Vernor, and Edwin Castro. "N-dimensional almost periodic functions II." Revista de Matemática: Teoría y Aplicaciones 10, no. 1-2 (2021): 199–205. http://dx.doi.org/10.15517/rmta.v10i1-2.47783.

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In this paper we continue the research begun in [CA-2]. Some new results are shown and proven, like the structure theorem for n-dimensional almost periodic functions by using the Bochner Transform. Also, the Haraux [Har] condition in the n-dimensional case, and some topological theorems similar to Bochner and Ascoli theorems. Furthermore, we answer a question formulated by Prof. Fischer [Fis], and we study an average theorem for integrals of almost periodic functions.
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Béssémè, Fritz Mbounja, David Békollè, Khalil Ezzinbi, Samir Fatajou, and Duplex Elvis Houpa Danga. "Convolutions in µ-pseudo almost periodic and µ-pseudo almost automorphic function spaces and applications to solve Integral equations." Nonautonomous Dynamical Systems 7, no. 1 (2020): 32–52. http://dx.doi.org/10.1515/msds-2020-0102.

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AbstractThe aim of this work is to give sufficient conditions ensuring that the space PAP(𝕉, X, µ) of µ-pseudo almost periodic functions and the space PAA(𝕉, X, µ) of µ-pseudo almost automorphic functions are invariant by the convolution product f = k * f, k ∈ L1(𝕉). These results establish sufficient assumptions on k and the measure µ. As a consequence, we investigate the existence and uniqueness of µ-pseudo almost periodic solutions and µ-pseudo almost automorphic solutions for some abstract integral equations, evolution equations and partial functional differential equations.
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Basit, Bolis, and Chuanyi Zhang. "New Almost Periodic Type Functions and Solutions of Differential Equations." Canadian Journal of Mathematics 48, no. 6 (1996): 1138–53. http://dx.doi.org/10.4153/cjm-1996-059-9.

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AbstractLet X be a Banach space and . Let Π and Π0 be two subspaces of , the Banach space of bounded continuous functions from 𝕁 to X. We seek conditions under which Π + Π0 is closed in . This led to introduce a general space, which contains many classes of almost periodic type functions as subspaces. We prove some recent results on indefinite integral for the elements of these classes. We apply certain results on harmonic analysis to investigate solutions of differential equations. As an application we study specific spaces: the spaces of asymptotic and pseudo almost automorphic functions and
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Pinto, Manuel, and Claudio Vidal. "Pseudo-almost-periodic solutions for delayed differential equations with integrable dichotomies and bi-almost-periodic Green functions." Mathematical Methods in the Applied Sciences 40, no. 18 (2017): 6998–7012. http://dx.doi.org/10.1002/mma.4507.

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Kosov, Alexander A., and Eduard I. Semenov. "On exact solutions of equations of rotational motion of a rigid body under action of torque of circular-gyroscopic forces." Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva 23, no. 2 (2021): 159–70. http://dx.doi.org/10.15507/2079-6900.23.202102.159-170.

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Abstract. A nonlinear system of differential equations describing the rotational motion of a rigid body under the action of torque of potential and circular-gyroscopic forces is considered. For this torque, the system of differential equations has three classical first integrals: the energy integral, the area integral, and the geometric integral. For the analogue of the Lagrange case, when two moments of inertia coincide and the potential depends on one angle, an additional first integral is found and integration in quadratures is performed. A number of examples is considered where parametric
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Ezzinbi, Khalil, та Mohamed Ziat. "Positive μ-pseudo almost periodic solutions for some nonlinear infinite delay integral equations arising in epidemiology using Hilbert’s projective metric". Nonautonomous Dynamical Systems 5, № 1 (2018): 89–101. http://dx.doi.org/10.1515/msds-2018-0007.

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Abstract The purpose of this work is to give sufficient conditions which guarantee the existence and the uniqueness of positive μ-pseudo almost periodic solutions for the nonlinear infinite delay integral equation . We improve the original work of [H. S. Ding, Y. Y. Chen and G. M. N’Guérékata, Existence of positive pseudo almost periodic solutions to a class of neutral integral equations, Nonlinear Analysis. Theorey, Methods and Applications 74 (2011) 7356-7364] by dropping the hypotheses of monotonicity on the functions f and h. The main results are proved by using the Hilbert’s projective me
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Dissertations / Theses on the topic "Integral of almost Periodic Functions"

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Alsulami, Saud M. A. "On Evolution Equations in Banach Spaces and Commuting Semigroups." Ohio University / OhioLINK, 2005. http://www.ohiolink.edu/etd/view.cgi?ohiou1126042587.

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Díaz, Lolimar, and Raúl Naulin. "A set of almost periodic discontinuous functions." Pontificia Universidad Católica del Perú, 2014. http://repositorio.pucp.edu.pe/index/handle/123456789/95357.

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Bordbar, Behzad. "Weakly almost periodic functions on some discrete groups." Thesis, University of Sheffield, 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.389669.

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Yeo, Stephen K. N. "Generalised periodic Green's function analysis of microstrip dipole arrays /." Title page, contents and abstract only, 1996. http://web4.library.adelaide.edu.au/theses/09PH/09phy46.pdf.

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Muller, Jacob. "Higher order differential operators on graphs." Licentiate thesis, Stockholms universitet, Matematiska institutionen, 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-178070.

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This thesis consists of two papers, enumerated by Roman numerals. The main focus is on the spectral theory of <img src="http://www.diva-portal.org/cgi-bin/mimetex.cgi?n" />-Laplacians. Here, an <img src="http://www.diva-portal.org/cgi-bin/mimetex.cgi?n" />-Laplacian, for integer <img src="http://www.diva-portal.org/cgi-bin/mimetex.cgi?n" />, refers to a metric graph equipped with a differential operator whose differential expression is the <img src="http://www.diva-portal.org/cgi-bin/mimetex.cgi?2n" />-th derivative. In Paper I, a classification of all vertex conditions corresponding to self-a
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Hernandez, Michelle Fernanda Pierri. "Funções s-assintoticamente periódicas em espaços de Banach e aplicações à equações diferenciais funcionais." Universidade de São Paulo, 2009. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-19052009-161255/.

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Este trabalho está voltado para o estudo de uma classe de funções contínuas e limitadas f : [0; \'INFINITO\') \'SETA\' X para as quais existe \'omega\' \'> OU =\' 0 tal que \'lim IND. t\' \'SETA\' \'INFINITO\' (f(t + \'omega\') - f(t)) = 0. No decorrer do trabalho, chamaremos estas funções de S-assintoticamente \'omega\'-periódicas. Nós discutiremos propriedades qualitativas para estas funções e algumas relações entre este tipo de funções e a classe de funções assintoticamente \'omega\'-periódicas. Também estudaremos a existência de soluções fracas S-assintoticamente \'omega\'-periódicas para
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Rabelo, Marcos Napoleão. "Existência de soluções periódicas para equações diferenciais do tipo neutro." Universidade de São Paulo, 2007. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-11012008-175844/.

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Neste trabalho estudaremos a existência de soluções fracas, pseudo quase periódicas e periódicas, para uma classe de sistemas não autônomo do tipo neutro com retardamento não limitado modelados na forma \' d SUP. dt\' (u(t) + F(t, ut)) = A(t)u(t) + G(t, \'u IND.t\' ), t \'PERTENCE A\' (0, a), \'u IND. 0\' = \'varphi\' \'PERTENCE A\' B, onde {A(t)} ´e uma família de operadores lineares fechados, com um dom´?nio comum D =D(A(t)), a história ut : (-\'INFINITO\'1, 0] \'SETA\' X, \'u IND. t\'(THETA) = u(t+\'THETA\'), pertence a um espaço de fase abstrato B definido axiomaticamente e F,G : [0,
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Javed, Mohsin. "Algorithms for trigonometric polynomial and rational approximation." Thesis, University of Oxford, 2016. https://ora.ox.ac.uk/objects/uuid:23a36d72-0299-4c63-98e8-d0aa088c062e.

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This thesis presents new numerical algorithms for approximating functions by trigonometric polynomials and trigonometric rational functions. We begin by reviewing trigonometric polynomial interpolation and the barycentric formula for trigonometric polynomial interpolation in Chapter 1. Another feature of this chapter is the use of the complex plane, contour integrals and phase portraits for visualising various properties and relationships between periodic functions and their Laurent and trigonometric series. We also derive a periodic analogue of the Hermite integral formula which enables us to
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Lassoued, Dhaou. "Fonctions presque-périodiques et Équations Différentielles." Phd thesis, Université Panthéon-Sorbonne - Paris I, 2013. http://tel.archives-ouvertes.fr/tel-00942969.

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Cette thèse porte sur les équations d'évolution et s'articule autour de trois parties. Dans la première partie, on se propose de se concentrer sur le critère oscillatoire de certaines équations différentielles. Des résultats classiques sur les fonctions presque-périodiques sont rassemblés dans le premier chapitre. Le deuxième chapitre de cette thèse a pour objectif de prouver l'existence d'une solution presque-périodique de Besicovitch d'une équation différentielle de second ordre sur un espace de Hilbert. L'approche utilisée se base sur un formalisme variationnel. La deuxième partie de cette
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Kim, Yeon Hyang. "Representations of almost periodic functions using L₂-frames." 2008. http://www.library.wisc.edu/databases/connect/dissertations.html.

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Books on the topic "Integral of almost Periodic Functions"

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Toka, Diagana, and SpringerLink (Online service), eds. Almost Periodic Stochastic Processes. Springer Science+Business Media, LLC, 2011.

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Almost periodic functions. 2nd ed. Chelsea Pub. Co., 1989.

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Almost periodic type functions and ergodicity. Science Press, 2003.

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Zaidman, Samuel. Almost-periodic functions in abstract spaces. Pitman Advanced, 1985.

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Zaidman, Samuel. Almost-periodic functions in abstract spaces. Pitman Advanced Pub. Program, 1985.

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Zhang, Chuanyi. Almost Periodic Type Functions and Ergodicity. Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-007-1073-3.

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Almost automorphic and almost periodic functions in abstract spaces. Kluwer Academic / Plenum Publishers, 2001.

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N'Guerekata, Gaston M. Almost Automorphic and Almost Periodic Functions in Abstract Spaces. Springer US, 2001.

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N’Guerekata, Gaston M. Almost Automorphic and Almost Periodic Functions in Abstract Spaces. Springer US, 2001. http://dx.doi.org/10.1007/978-1-4757-4482-8.

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N'Guérékata, Gaston M. Almost Periodic and Almost Automorphic Functions in Abstract Spaces. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-73718-4.

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Book chapters on the topic "Integral of almost Periodic Functions"

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Rodman, Leiba, Ilya M. Spitkovsky, and Hugo J. Woerdeman. "Noncanonical Factorizations of Almost Periodic Multivariable Matrix Functions." In Singular Integral Operators, Factorization and Applications. Birkhäuser Basel, 2003. http://dx.doi.org/10.1007/978-3-0348-8007-7_17.

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Ball, J. A., L. Rodman, and I. M. Spitkovsky. "Toeplitz Corona Problem for Algebras of Almost Periodic Functions." In Toeplitz Matrices and Singular Integral Equations. Birkhäuser Basel, 2002. http://dx.doi.org/10.1007/978-3-0348-8199-9_3.

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Diagana, Toka. "Almost Periodic Functions." In Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces. Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-00849-3_3.

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Pankov, A. A. "Almost periodic functions." In Bounded and Almost Periodic Solutions of Nonlinear Operator Differential Equations. Springer Netherlands, 1990. http://dx.doi.org/10.1007/978-94-011-9682-6_2.

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Akhmet, Marat. "Discontinuous Almost Periodic Functions." In Nonlinear Systems and Complexity. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-20572-0_3.

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Diagana, Toka. "Pseudo-Almost Periodic Functions." In Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces. Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-00849-3_5.

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Satake, Ichiro, Genjiro Fujisaki, Kazuya Kato, Masato Kurihara, and Shoichi Nakajima. "On almost periodic functions." In Kenkichi Iwasawa Collected Papers. Springer Japan, 2001. http://dx.doi.org/10.1007/978-4-431-67947-9_4.

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Zhang, Chuanyi. "Almost periodic type functions." In Almost Periodic Type Functions and Ergodicity. Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-007-1073-3_1.

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N’Guérékata, Gaston M. "Almost Automorphic Functions." In Almost Periodic and Almost Automorphic Functions in Abstract Spaces. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-73718-4_2.

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Bouzar, Chikh, and Mohammed Taha Khalladi. "Asymptotically Almost Periodic Generalized Functions." In Pseudo-Differential Operators, Generalized Functions and Asymptotics. Springer Basel, 2013. http://dx.doi.org/10.1007/978-3-0348-0585-8_14.

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Conference papers on the topic "Integral of almost Periodic Functions"

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Khalladi, Mohammed Taha. "Pseudo almost periodic generalized functions." In THIRD INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2019). AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5136134.

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ADAMCZAK, MAREK, and STANISŁAW STOIŃSKI. "ON THE (NC(N))-ALMOST PERIODIC FUNCTIONS." In Proceedings of the Sixth Conference. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812704450_0004.

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Wang, Lili. "Multistability of almost periodic solutions of neural networks with discontinuous activation functions." In 2010 Third International Workshop on Advanced Computational Intelligence (IWACI). IEEE, 2010. http://dx.doi.org/10.1109/iwaci.2010.5585222.

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Jang, Jae-Young, Suk-Pyo Hong, Donghak Shin, and Eun-Soo Kim. "Computational 3D Image Reconstruction of Curved Integral Imaging Using Convolution Property Between Periodic Functions." In Digital Holography and Three-Dimensional Imaging. OSA, 2013. http://dx.doi.org/10.1364/dh.2013.dw2a.15.

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De la Sen, Manuel, and Aitor J. Garrido. "On impulsive controls for almost periodic solutions of a nonlinear delay integral equation of epidemiological modeling interest." In 4TH INTERNATIONAL CONFERENCE ON FUNDAMENTAL AND APPLIED SCIENCES (ICFAS2016). Author(s), 2016. http://dx.doi.org/10.1063/1.4968152.

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Cunefare, Kenneth A., Nalin Verma, Alper Erturk, Ellen Skow, Jeremy Savor, and Martin Cacan. "Energy Harvesting From Hydraulic Pressure Fluctuations." In ASME 2012 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/smasis2012-7926.

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State-of-the-art hydraulic hose and piping systems employ integral sensor nodes for structural health monitoring in order to avoid catastrophic failures. These systems lend themselves to energy harvesting for powering sensor nodes. The foremost reason is that the power intensity of hydraulic systems is orders of magnitude higher than typical energy harvesting sources considered to date, such as wind turbulence, water flow, or vibrations of civil structures. Hydraulic systems inherently have a high energy intensity associated with the mean pressure and flow. Accompanying the mean pressure is wh
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Stevanovic, Ivica, Aleksandar Terzic, and Pedro Crespo-Valero. "A Review of 3-D Green's Functions for Integral Equation Modeling of Electromagnetic Scattering from 1/2/3-D Periodic Structures Using Ewald Transformation." In 2019 International Conference on Electromagnetics in Advanced Applications (ICEAA). IEEE, 2019. http://dx.doi.org/10.1109/iceaa.2019.8879421.

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Cole, Kevin D. "Flush-Mounted Steady-Periodic Heated Film With Application to Fluid-Flow Measurement." In ASME 2006 International Mechanical Engineering Congress and Exposition. ASMEDC, 2006. http://dx.doi.org/10.1115/imece2006-13696.

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Recently unsteady heating of surface-mounted films has been applied to the measurement of fluid flow. In this paper steady-periodic heating of a surface-mounted film is studied analytically. Wall effects and axial heat conduction in the fluid are included. The temperature is found as an exact integral expression constructed from separate Green's functions formulations in the fluid flow and in the solid wall that are matched at the fluid-solid interface. Numerical results for temperature, obtained by quadrature, are reported for several flow speeds and several steady-periodic frequencies. The r
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Litvin, Faydor L., Jui-Sheng Chen, Thomas M. Sep, and Jyh-Chiang Wang. "Computerized Simulation of Transmission Errors and Shift of Bearing Contact for Hypoid Gear Drive With Conjugate Gear Tooth Surfaces." In ASME 1994 Design Technical Conferences collocated with the ASME 1994 International Computers in Engineering Conference and Exhibition and the ASME 1994 8th Annual Database Symposium. American Society of Mechanical Engineers, 1994. http://dx.doi.org/10.1115/detc1994-0094.

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Abstract Computerized investigation of the influence of alignment errors on the transmission errors and the shift of the bearing contact is proposed. The investigation is performed for an imaginary hypoid gear drive with conjugate tooth surfaces. It is proven that the transmission functions caused by misalignment are periodic discontinues almost linear functions with the frequency of cycle of meshing. The above functions can be totally absorbed by a predesigned parabolic function. The shift of the bearing contact caused by misalignment has been determined as well. The performed investigation i
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Kumar, Pankaj, and S. Narayanan. "Nonlinear Stochastic Dynamics, Chaos and Reliability Analysis for Single Degree Freedom Model of a Rotor Blade." In ASME Turbo Expo 2008: Power for Land, Sea, and Air. ASMEDC, 2008. http://dx.doi.org/10.1115/gt2008-50736.

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In turbo machinery, the analysis of systems subjected to stochastic or periodic excitation becomes highly complex in the presence of nonlinearities. Nonlinear rotor systems exhibit a variety of dynamic behaviours that include periodic, quasi periodic, chaotic motion, limit cycle, jump phenomena etc. The transitional probability density function (pdf) for the random response of nonlinear systems under white or coloured noise excitation (delta-correlated) is governed by both the forward Fokker-Planck (FP) and backward Kolmogorov equations. This paper presents efficient numerical solution of the
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