Academic literature on the topic 'Section de Poincaré'

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Journal articles on the topic "Section de Poincaré"

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de Almeida, Alfredo M. Ozorio, and Raúl O. Vallejos. "Poincaré section decomposition for quantum scatterers." Physica E: Low-dimensional Systems and Nanostructures 9, no. 3 (2001): 488–93. http://dx.doi.org/10.1016/s1386-9477(00)00250-2.

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ZIBRAT, ZACHARY H., and ANDREW J. SZERI. "SADDLE-TYPE TORUS BRAIDS IN QUASIPERIODICALLY DRIVEN SYSTEMS: CROSSOVER MAPS OF TRANSVERSALLY INTERSECTING MANIFOLDS." International Journal of Bifurcation and Chaos 18, no. 10 (2008): 3001–12. http://dx.doi.org/10.1142/s0218127408022214.

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In [Spears et al., 2005] it was demonstrated that insight into the geometry and topology of attractors for nonlinear oscillators driven by n incommensurate frequencies may be obtained from the study of n Poincaré maps defined on global cross-sections. The attractors take the form of stable torus braids. Here, attention is focused on saddle-type torus braids in similar systems. Transverse intersections of stable and unstable manifolds are computed using the phase slice method, along with the application of the crossover map. This neatly maps from one global Poincaré section to another. As such,
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Gutzwiller, Martin C. "Poincaré surface of section and quantum scattering." Chaos: An Interdisciplinary Journal of Nonlinear Science 3, no. 4 (1993): 591–99. http://dx.doi.org/10.1063/1.165963.

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Audureau, Éric. "Le conventionnalisme, conséquence de l’intuitionnisme." Articles 31, no. 1 (2004): 57–88. http://dx.doi.org/10.7202/008934ar.

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Résumé Partant du principe que la philosophie de la connaissance de Poincaré est cohérente, j’essaie de faire voir que son conventionnalisme en géométrie et en physique n’est qu’une conséquence de son intuitionnisme. Après avoir rappelé, dans la première section, ce qu’est l’intuitionnisme et décrit ce que l’intuitionnisme de Poincaré a de spécifique, je montre, dans la deuxième section, comment celui-ci retentit sur la conception de l’espace. Dans la troisième section, j’applique les conclusions précédemment établies à la question très controversée de la découverte de la relativité restreinte
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YUE, Y., J. H. XIE, and X. J. GAO. "CAPTURING THE SYMMETRY OF ATTRACTORS AND THE TRANSITION TO SYMMETRIC CHAOS IN A VIBRO-IMPACT SYSTEM." International Journal of Bifurcation and Chaos 22, no. 05 (2012): 1250109. http://dx.doi.org/10.1142/s021812741250109x.

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A three-degree-of-freedom vibro-impact system with symmetric two-sided constraints is considered. The system is strongly nonlinear and symmetric. The symmetric fixed point of the Poincaré map is deduced analytically, and the existence conditions of the symmetric fixed point are obtained. The six-dimensional Poincaré map can be expressed as the second iteration of another unsymmetric implicit map, which implies the symmetry of the Poincaré map. When the control parameter changes successively, symmetry-breaking bifurcation and symmetry-restoring bifurcation will occur at some point, and the attr
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Solari, Hernán G., Mario A. Natiello, and Mariano Vázquez. "Braids on the Poincaré section: A laser example." Physical Review E 54, no. 4 (1996): 3185–95. http://dx.doi.org/10.1103/physreve.54.3185.

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Wang, Lei, XiaoSong Yang, WenJie Hu, and Quan Yuan. "Horseshoe Chaos in a Simple Memristive Circuit." Journal of Applied Mathematics 2014 (2014): 1–5. http://dx.doi.org/10.1155/2014/546091.

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A simple memristive circuit model is revisited and the stability analysis is to be given. Furthermore, we resort to Poincaré section and Poincaré map technique and present rigorous computer-assisted verification of horseshoe chaos by virtue of topological horseshoe theory.
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YUAN, QUAN, and XIAO-SONG YANG. "COMPUTER ASSISTED VERIFICATION OF CHAOS IN THREE-NEURON CELLULAR NEURAL NETWORKS." International Journal of Bifurcation and Chaos 17, no. 12 (2007): 4381–86. http://dx.doi.org/10.1142/s0218127407020026.

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In this paper, we study a new class of simple three-neuron chaotic cellular neural networks with very simple connection matrices. To study the chaotic behavior in these cellular neural networks demonstrated in numerical studies, we resort to Poincaré section and Poincaré map technique and present a rigorous verification of the existence of horseshoe chaos using topological horseshoe theory and the estimate of topological entropy in derived Poincaré maps.
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YUAN, QUAN, and XIAO-SONG YANG. "COMPUTER ASSISTED VERIFICATION OF CHAOS IN THE SMOOTH CHUA'S EQUATION." International Journal of Bifurcation and Chaos 18, no. 08 (2008): 2391–96. http://dx.doi.org/10.1142/s0218127408021762.

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In this paper, chaos in the smooth Chua's equation is revisited. To confirm the chaotic behavior in the smooth Chua's equation demonstrated in numerical studies, we resort to Poincaré section and Poincaré map technique and present a computer assisted verification of existence of horseshoe chaos by virtue of topological horseshoes theory.
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Yang, Xiao-Song. "A remark on global Poincaré section and suspension manifold." Chaos, Solitons & Fractals 11, no. 13 (2000): 2157–59. http://dx.doi.org/10.1016/s0960-0779(99)00088-0.

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Dissertations / Theses on the topic "Section de Poincaré"

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Sobrinho, Fernando Araujo de Andrade. "Medida da dispersão da periodicidade de um sinal de voz normal e voz patológica através da seção de Poincaré." Universidade de São Paulo, 2011. http://www.teses.usp.br/teses/disponiveis/18/18152/tde-08062011-151518/.

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A voz humana apresenta flutuações na frequência, amplitude e formato de onda. Esse comportamento característico pode ser estudado usando técnicas de análise não linear, além das técnicas convencionais. O objetivo desse trabalho é analisar sinais de vozes normais e patológicas (com nódulos e edemas) usando seção de Poincaré de vários trechos do espaço de fase reconstruído e calcular a dispersão em relação ao ponto médio da seção e em relação à distribuição dos pontos sobre os eixos coordenados. Essa dispersão será calculada utilizando o conceito estatístico de desvio padrão. Foram analisados 48
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Dutertre, Pascal. "Caractérisation des attracteurs étranges par la population d'orbites périodiques." Rouen, 1995. http://www.theses.fr/1995ROUES013.

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L'objectif de ce mémoire est la caractérisation d'attracteurs étranges, tant théoriques qu'expérimentaux, à partir de la connaissance de la population de leurs orbites. Les notions de base de la dynamique des systèmes sont introduites par l'intermédiaire de la fonction logistique ainsi que le codage des orbites périodiques au moyen d'une dynamique symbolique. Les principales bifurcations générant ces orbites sont ensuite présentées. Un algorithme d'extraction des orbites périodiques est validé sur le système de Hénon, puis étendu aux flots continus par l'intermédiaire d'une section de Poincaré
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Sobrinho, Fernando Araujo de Andrade. "Detecção de patologias em pregas vocais utilizando a seção Poincaré do espaço de fase tridimensional de um sinal de voz." Universidade de São Paulo, 2016. http://www.teses.usp.br/teses/disponiveis/18/18153/tde-05012017-141759/.

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Diversos estudos foram realizados para detecção de patologias na laringe. Essas patologias causam alteração na frequência, amplitude e formato de onda do sinal de voz e podem ser estudadas através dos parâmetros convencionais de análise como jitter e shimmer, ou sob o enfoque da dinâmica não linear. Essas técnicas são não invasivas e servem de apoio ao especialista da área de fonoaudiologia para o diagnóstico de patologias nas pregas vocais. As técnicas de análise acústica baseiam-se no formato de onda vocal no domínio do tempo e domínio da frequência, enquanto que a técnica de análise não lin
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Djondiné, Philippe. "Étude des comportements chaotiques dans les convertisseurs statiques." Thesis, Cergy-Pontoise, 2015. http://www.theses.fr/2015CERG0768/document.

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Les travaux de cette thèse portent sur l'analyse des comportements chaotiques dans les convertisseurs multicellulaires séries. Ces systèmes à commutationpeuvent présenter une variété de phénomènes complexes liés à des bifurcationset au chaos. Sachant qu'un convertisseur de puissance qui a une charge purementdissipative, ne peut générer un comportement chaotique, nous avons dans la première partie de cette thèse, connecté un hacheur à deux cellules à une charge non linéaire non strictement dissipative et nous avons analysé ses comportements à l'aide des propriétés dynamiques de base et présenté
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Marini, Samuel. "Análise da dinâmica eletrônica em uma configuração de campos eletromagnéticos pertinentes a propulsores Hall." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 2011. http://hdl.handle.net/10183/39074.

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Um propulsor do tipo Hall é um mecanismo que utiliza predominantemente uma configuração de campos eletromagnéticos Hall, um campo elétrico perpendicular a um campo magnético, para confinar elétrons e acelerar íons. Os elétrons são confinados dentro de um canal de aceleração onde os campos eletromagnéticos estão presentes. Um gás neutro é lançado dentro desse canal de aceleração de forma que os elétrons confinados podem colidir com os átomos do gás e os ionizar. Os íons gerados dessas colisões, elétrons-gás, são fortemente repelidos para fora do canal de aceleração pelo campo elétrico. A expuls
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Français, Eric. "Étude du mélange dans un écoulement de Stokes en géométrie de Couette excentré." Vandoeuvre-les-Nancy, INPL, 1992. http://docnum.univ-lorraine.fr/public/INPL_T_1992_FRANCAIS_E.pdf.

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Les techniques de mélange en régime visqueux sont, encore aujourd'hui, très empiriques. Les phénomènes intervenants sont complexes. La théorie des systèmes dynamiques fournit une approche des transitions possibles entre régimes stables et régimes chaotiques promoteurs d'un mélange efficace. Il apparait que le nombre minimal de fréquences incommensurables entre elles susceptibles d'engendrer des situations chaotiques est de trois. Partant de ce constat, un protocole efficace de mélange au sein du système bicylindrique excentré est recherché. L’alternance des conditions de vitesses aux parois, g
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Chemori, Ahmed. "Quelques contributions à la commande non linéaire des robots marcheurs bipèdes sous-actionnés." Phd thesis, Grenoble INPG, 2005. http://tel.archives-ouvertes.fr/tel-00168406.

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Dans ce travail le problème de la commande de la marche dynamique des robots bipèdes<br />sous-actionnés est traité. Deux nouvelles approches de commande sont proposées. La première approche<br />est une commande prédictive non linéaire de faible dimension. Le principe de base de cette<br />approche consiste à utiliser le concept de linéarisation partielle par retour d'état, pour scinder les<br />composantes du vecteur d'état du système, en sous-état à dynamique complètement linéarisée, et un<br />sous-état à dynamique interne; puis utiliser des trajectoires optimales de référence sur les coor
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Valentin, Luangraj Sontsada. "Vers une approche non-linéaire de la commande d'attitude de satellites par jets de gaz." Toulouse, ENSAE, 2004. http://www.theses.fr/2004ESAE0019.

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Dans cette thèse, on s'intéresse aux techniques de modulation d'impulsions dans le cadre du contrôle d'attitude de satellites. On se place dans un contexte particulier où le modulateur non-linéaire est volontairement réglé de manière à générer un cycle limite stable que l'on cherche à atteindre. Dans un premier volet du mémoire, on propose donc une méthode de synthèse permettant de modifier les caractéristiques du cycle limite afin de maîtriser la précision de pointage d'une part et la consommation d'ergols d'autre part. Cette méthode repose sur une formulation nouvelle de la méthode de Tsypkin
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Beuf, Aurélien. "Optimisation de l'hybridation des puces à ADN grâce au mélange par advection chaotique." Phd thesis, Ecole Centrale de Lyon, 2008. http://tel.archives-ouvertes.fr/tel-00524716.

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La détection de séquences génétiques par la technologie des puces à ADN se heurte à des problèmes de fiabilité et de reproductibilité, dus en grande partie à des problèmes de mélange. Dans toute cette thèse, nous montrons à quel point le mélange par advection chaotique améliore les performances de ces puces. Pour cela nous comparons, par une étude principalement numérique, l'efficacité de deux protocoles de mélange basés sur le principe d'injection alternée et périodique de fluide (modèle puits/sources) : l'un utilise des seringues réversibles, l'autre des pompes recyclant le fluide extrait, c
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Hruboš, Zdeněk. "Oscilátory generující nekonvenční signály." Doctoral thesis, Vysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií, 2016. http://www.nusl.cz/ntk/nusl-239937.

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Dizertační práce se zabývá elektronicky nastavitelnými oscilátory, studiem nelineárních vlastností spojených s použitými aktivními prvky a posouzením možnosti vzniku chaotického signálu v harmonických oscilátorech. Jednotlivé příklady vzniku podivných atraktorů jsou detailně diskutovány. V doktorské práci je dále prezentováno modelování reálných fyzikálních a biologických systémů vykazujících chaotické chování pomocí analogových elektronických obvodů a moderních aktivních prvků (OTA, MO-OTA, CCII ±, DVCC ±, atd.), včetně experimentálního ověření navržených struktur. Další část práce se zabývá
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Books on the topic "Section de Poincaré"

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The Poincaré conjecture: Clay Research Conference, resolution of the Poincaré conjecture, Institute Henri Poincaré, Paris, France, June 8-9, 2010. American Mathematical Society, 2014.

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Riemann surfaces by way of complex analytic geometry. American Mathematical Society, 2011.

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Huybrechts, D. Abelian Varieties. Oxford University Press, 2007. http://dx.doi.org/10.1093/acprof:oso/9780199296866.003.0009.

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Historically, Mukai's equivalence with the Poincare bundle on the product of an abelian variety and its dual as kernel was the fist Fourier-Mukai transform. The first section in this chapter functions as a reminder of the basic facts from the rich theory of abelian varieties, and the case of principally polarized abelian varieties is studied. A general investigation of derived equivalences between abelian varieties and derived autoequivalences of a single abelian variety is included.
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Book chapters on the topic "Section de Poincaré"

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Dittrich, Walter, and Martin Reuter. "Poincaré Surface of Sections, Mappings." In Classical and Quantum Dynamics. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-21677-5_15.

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Dittrich, Walter, and Martin Reuter. "Poincaré Surface of Sections, Mappings." In Classical and Quantum Dynamics. Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/978-3-642-97921-7_14.

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Dittrich, W., and Martin Reutera. "Poincaré Surface of Sections, Mappings." In Classical and Quantum Dynamics. Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/978-3-642-56430-7_15.

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Dittrich, Walter, and Martin Reuter. "Poincaré Surface of Sections, Mappings." In Classical and Quantum Dynamics. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-36786-2_15.

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Dittrich, Walter, and Martin Reuter. "Poincaré Surface of Sections, Mappings." In Classical and Quantum Dynamics. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-58298-6_15.

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Dittrich, Walter, and Martin Reuter. "Poincaré Surface of Sections, Mappings." In Classical and Quantum Dynamics. Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/978-3-642-97465-6_14.

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Mombeini, Mozhgan. "OGY Control of Haken Like Systems on Different Poincare Sections." In Chaos and Complex Systems. Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-33914-1_52.

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"Braids and the Poincaré Section." In The User's Approach to Topological Methods in 3D Dynamical Systems. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/9789812771483_0004.

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Hoff, Molly. "2." In Virginia Woolf's Mrs. Dalloway: Invisible Presences. Liverpool University Press, 2018. http://dx.doi.org/10.5949/liverpool/9780979606670.003.0005.

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Chapter two offers a synopsis and analysis of the second section of Mrs. Dalloway. It focuses on the novel’s introduction to new characters and examines Woolf’s thinking behind her decision to use descriptions of appearance as a mode of characterisation. The chapter also provides a useful offering of context surrounding the First World War, royalty, and the city of London in the 1920s, as well as referencing various scholars, including Mary Shelley, William Shakespeare and Henri Poincaré.
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"Poincaré sections, fixed points, and control of chaotic systems." In Nonlinear Dynamics in Physiology. WORLD SCIENTIFIC, 2006. http://dx.doi.org/10.1142/9789812772794_0012.

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Conference papers on the topic "Section de Poincaré"

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Caccese, V., and D. Martin. "Measuring Nonlinear Dynamic Behavior Using Microcomputers." In ASME 1991 International Computers in Engineering Conference and Exposition. American Society of Mechanical Engineers, 1991. http://dx.doi.org/10.1115/cie1991-0035.

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Abstract This paper details a relatively inexpensive data acquisition/analysis system that was developed at the University of Maine to facilitate the measurement of nonlinear dynamic motion into the chaotic regime. The characteristics of the hardware and specially developed software will be discussed. The testing system includes a software package, written in TURBO Pascal, that is used to reduce and graphically present the time-history of up to six channels of data simultaneously. The program contains algorithms for digital filtering, smoothing, and Fast Fourier Transforms. The data retrieval
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Sirichotiyakul, Wankun, Aykut C. Satici, Eric S. Sanchez, and Pranav A. Bhounsule. "Energetically-Optimal Discrete and Continuous Stabilization of the Rimless Wheel With Torso." In ASME 2019 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/detc2019-97955.

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Abstract In this work, we discuss the modeling, control, and implementation of a rimless wheel with torso. We derive and compare two control methodologies: a discrete-time controller (DT) that updates the controls once-per-step and a continuous-time controller (CT) that updates gains continuously. For the discrete controller, we use least-squares estimation method to approximate the Poincaré map on a certain section and use discrete-linear-quadratic-regulator (DQLR) to stabilize a (closed-form) linearization of this map. For the continuous controller, we introduce moving Poincaré sections and
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Kobravi, Hamid-Reza, and Zohre Rezaee. "An Intermittent Control Strategy for Human Gait Control Based on Shank Movement Control Using Poincaré Section and Fuzzy Logic System." In 2018 Iranian Conference on Electrical Engineering (ICEE). IEEE, 2018. http://dx.doi.org/10.1109/icee.2018.8472642.

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Zounes, Randolph S., and Richard H. Rand. "Global Behavior of a Nonlinear Quasiperiodic Mathieu Equation." In ASME 2001 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2001. http://dx.doi.org/10.1115/detc2001/vib-21595.

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Abstract We investigate the interaction of subharmonic resonances in the nonlinear quasiperiodic Mathieu equation,(1)x..+[δ+ϵ(cos⁡ω1t+cos⁡ω2t)]x+αx3=0. We assume that ϵ ≪ 1 and that the coefficient of the nonlinear term, α, is positive but not necessarily small. We utilize Lie transform perturbation theory with elliptic functions — rather than the usual trigonometric functions — to study subharmonic resonances associated with orbits in 2m : 1 resonance with a respective driver. In particular, we derive analytic expressions that place conditions on (δ, ϵ, ω1, ω2) at which subharmonic resonance
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Zadoks, Rick I., and Charles M. Krousgrill. "On the Parametrically Excited Response of the Quadratically Nonlinear Model of a Rotating Ring on an Elastic Hub." In ASME 1993 Design Technical Conferences. American Society of Mechanical Engineers, 1993. http://dx.doi.org/10.1115/detc1993-0033.

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Abstract As a first approximation, a steel-belted radial tire can be modeled as a one dimensional rotating ring connected elastically to a moving hub. This ring can be modeled mathematically using a set of three nonlinear partial differential equations, where the three degrees of freedom are a radial displacement, a tangential displacement and a section rotation. In this study, only quadratic geometric nonlinearities are considered. The system is excited by a temporally harmonic point load f^(t) and a temporally harmonic hub motion z^(t) that have the same harmonic frequency. The point load f^
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Sobrinho, Fernando Araujo de Andrade, Maria Eugênia Dajer, and Luis Fernando Costa Alberto. "Estimation of pitch period in voice signals using Poincaré sections." In 6th International Conference on Nonlinear Science and Complexity. INPE Instituto Nacional de Pesquisas Espaciais, 2016. http://dx.doi.org/10.20906/cps/nsc2016-0066.

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Xingfu Zhong, Liming Lin, Yingxiang Wu, Yang He, Peilin Liu, and Xiaodong Pan. "The VIV detection based on Poincare surface of sections." In 2011 International Conference on Multimedia Technology (ICMT). IEEE, 2011. http://dx.doi.org/10.1109/icmt.2011.6002389.

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Zhang, Yan, Yuzhong Chen, and Yinghai Wang. "Poincaré Section Technique for a Time-Delayed Semiconductor Laser System." In 2008 Fourth International Conference on Natural Computation. IEEE, 2008. http://dx.doi.org/10.1109/icnc.2008.146.

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Fujisaka, Hisato, and Chikara Sato. "Computing the Number of Fixed Joints on Poincare Map in Nonlinear Mathieu Equation." In ASME 1993 Design Technical Conferences. American Society of Mechanical Engineers, 1993. http://dx.doi.org/10.1115/detc1993-0123.

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Abstract A numerical method is presented to compute the number of fixed points of Poincare maps in ordinary differential equations including time varying equations. The method’s fundamental is to construct a map whose topological degree equals to the number of fixed points of a Poincare map on a given domain of Poincare section. Consequently, the computation procedure is simply computing the topological degree of the map. The combined use of this method and Newton’s iteration gives the locations of all the fixed points in the domain.
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Luo, Albert C. J., and Santhosh Menon. "Global Chaos in a Periodically Forced, Linear System With a Dead-Zone Restoring Force." In ASME 2003 International Mechanical Engineering Congress and Exposition. ASMEDC, 2003. http://dx.doi.org/10.1115/imece2003-42526.

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The Poincare mapping and the corresponding mapping sections for global motions in a linear system possessing a dead-zone restoring force are developed through the switching planes pertaining to the two constraints. The global periodic motions based on the Poincare mapping are determined, and the analysis for the stability and bifurcation of periodic motion is carried out. From the global periodic motions, the global chaos in such a system is investigated numerically. The bifurcation scenario with varying parameters was presented. The mapping structures of periodic and chaotic motions are discu
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