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Relevant bibliographies by topics / Hyperbolic fixed point

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Academic literature on the topic 'Hyperbolic fixed point'

Author: Grafiati

Published: 4 June 2021

Last updated: 3 February 2022

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Journal articles on the topic "Hyperbolic fixed point"

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Ike, Yuichi, Yutaka Matsui, and Kiyoshi Takeuchi. "Hyperbolic localization and Lefschetz fixed point formulas for higher-dimensional fixed point sets." International Mathematics Research Notices 2018, no. 15 (2017): 4852–98. http://dx.doi.org/10.1093/imrn/rnx030.

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Genevois, Anthony. "Hyperbolic and cubical rigidities of Thompson’s group V." Journal of Group Theory 22, no. 2 (2019): 313–45. http://dx.doi.org/10.1515/jgth-2018-0103.

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Abstract In this article, we state and prove a general criterion allowing us to show that some groups are hyperbolically elementary, meaning that every isometric action of one of these groups on a Gromov-hyperbolic space either fixes a point at infinity, or stabilises a pair of points at infinity, or has bounded orbits. Also, we show how such a hyperbolic rigidity leads to fixed-point properties on finite-dimensional CAT(0) cube complexes. As an application, we prove that Thompson’s group V is hyperbolically elementary, and we deduce that it satisfies Property {({\rm FW}_{\infty})} , i.e., eve

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Kirk, W. A., and Naseer Shahzad. "Hyperbolic spaces and directional contractions." Bulletin of Mathematical Sciences 09, no. 03 (2019): 1950021. http://dx.doi.org/10.1142/s1664360719500218.

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The axiomatic approach to metric convexity goes back to the pioneering work of Karl Menger in 1928. This is an overview of this concept and the role it plays in metric fixed point theory especially in conjunction with spaces possessing a “hyperbolic” type structures. These include the CAT(0) spaces, hyperconvex metric spaces, and [Formula: see text]-trees. Much of the discussion involves the existence of “approximate” fixed point sequences for mappings satisfying weak contractive conditions. Applications of a well-known fixed point theorem due to Caristi are also included. These involve fixed

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Solynin, Alexander Yu. "Hyperbolic convexity and the analytic fixed point function." Proceedings of the American Mathematical Society 135, no. 04 (2007): 1181. http://dx.doi.org/10.1090/s0002-9939-06-08661-8.

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Kim, Jong Kyu, Ramesh Prasad Pathak, Samir Dashputre, Shailesh Dhar Diwan, and Rajlaxmi Gupta. "Fixed Point Approximation of Generalized Nonexpansive Mappings in Hyperbolic Spaces." International Journal of Mathematics and Mathematical Sciences 2015 (2015): 1–6. http://dx.doi.org/10.1155/2015/368204.

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We prove strong and Δ-convergence theorems for generalized nonexpansive mappings in uniformly convex hyperbolic spaces using S-iteration process due to Agarwal et al. As uniformly convex hyperbolic spaces contain Banach spaces as well as CAT(0) spaces, our results can be viewed as extension and generalization of several well-known results in Banach spaces as well as CAT(0) spaces.

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BONFERT–TAYLOR, PETRA, MARTIN BRIDGEMAN, RICHARD D. CANARY, and EDWARD C. TAYLOR. "Quasiconformal homogeneity of hyperbolic surfaces with fixed-point full automorphisms." Mathematical Proceedings of the Cambridge Philosophical Society 143, no. 1 (2007): 71–84. http://dx.doi.org/10.1017/s0305004107000138.

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AbstractWe show that any closed hyperbolic surface admitting a conformal automorphism with “many” fixed points is uniformly quasiconformally homogeneous, with constant uniformly bounded away from 1. In particular, there is a uniform lower bound on the quasiconformal homogeneity constant for all hyperelliptic surfaces. In addition, we introduce more restrictive notions of quasiconformal homogeneity and bound the associated quasiconformal homogeneity constants uniformly away from 1 for all hyperbolic surfaces.

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Khan, Safeer Hussain. "Fixed Point Approximation of Nonexpansive Mappings on a Nonlinear Domain." Abstract and Applied Analysis 2014 (2014): 1–5. http://dx.doi.org/10.1155/2014/401650.

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We use a three-step iterative process to prove some strong andΔ-convergence results for nonexpansive mappings in a uniformly convex hyperbolic space, a nonlinear domain. Three-step iterative processes have numerous applications and hyperbolic spaces contain Banach spaces (linear domains) as well as CAT(0) spaces. Thus our results can be viewed as extension and generalization of several known results in uniformly convex Banach spaces as well as CAT(0) spaces.

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FUKHAR-UD-DIN, HAFIZ. "Existence and approximation of a fixed point of a fundamentally nonexpansive mapping in hyperbolic spaces." Carpathian Journal of Mathematics 36, no. 1 (2020): 71–80. http://dx.doi.org/10.37193/cjm.2020.01.07.

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We prove that a fundamentally nonexpansive mapping on a compact and convex subset of a hyperbolic space, has a fixed point. We also show that one-step iterative algorithm of two mappings is vital for the approximation of a common fixed point of two fundamentally nonexpansive mappings in a strictly convex hyperbolic space. Our results are new in metric fixed point theory and generalize several existing results.

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Kalsoom, Amna, Naeem Saleem, Hüseyin Işık, Tareq M. Al-Shami, Amna Bibi, and Hafsa Khan. "Fixed Point Approximation of Monotone Nonexpansive Mappings in Hyperbolic Spaces." Journal of Function Spaces 2021 (August 8, 2021): 1–14. http://dx.doi.org/10.1155/2021/3243020.

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Fixed points of monotone α -nonexpansive and generalized β -nonexpansive mappings have been approximated in Banach space. Our purpose is to approximate the fixed points for the above mappings in hyperbolic space. We prove the existence and convergence results using some iteration processes.

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Suanoom, Cholatis, and Chakkrid Klin-eam. "Fixed point theorems for generalized nonexpansive mappings in hyperbolic spaces." Journal of Fixed Point Theory and Applications 19, no. 4 (2017): 2511–28. http://dx.doi.org/10.1007/s11784-017-0432-2.

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Dissertations / Theses on the topic "Hyperbolic fixed point"

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Vidarte, José Humberto Bravo. "Linearização suave de pontos fixos hiperbólicos." Universidade de São Paulo, 2010. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-13052010-215052/.

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Neste trabalho tem por objetivo a construção de conjugações suaves de pontos fixos hiperbólicos com condições de não ressonância. Por tanto, inicialmente são apresentados alguns conceitos básicos sobre espaços de Banach e alguns resultados de equações diferenciais ordinárias em espaços de Banach e sistemas dinâmicos, apresentamos o teorema de Hartman Grobman como motivação inicial de Linearização. Apresentamos também vários exemplos como motivação para estudar o Teorema de Sternberg para contrações hiperbólicas, o principal resultado estudado nesta dissertação para contrações hiperbólicas<br>T

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Laurent-Brouty, Nicolas. "Modélisation du trafic sur des réseaux routiers urbains à l’aide des lois de conservation hyperboliques." Thesis, Université Côte d'Azur (ComUE), 2019. http://www.theses.fr/2019AZUR4056.

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Cette thèse se consacre à la modélisation mathématique du trafic routier à l'aide des lois de conservation hyperboliques. Nous nous intéressons plus particulièrement à l’application des modèles macroscopiques en milieu urbain. Les zones urbaines sont désormais régulièrement confrontées à des niveaux de congestion record et à des épisodes de pollution atmosphérique causés par le trafic routier. L’objectif de cette thèse est alors de développer des modèles de trafic qui représentent de manière réaliste l’évolution des véhicules en milieu urbain. Dans un premier temps, nous considérons le modèle

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Pinçon, Bruno. "Étude et analyse numérique d'un système distribué modélisant un échangeur de chaleur." Compiègne, 1990. http://www.theses.fr/1990COMPD322.

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L'objet de ce travail est la simulation et l'étude théorique du transfert de chaleur entre la paroi d'un tube chauffé par effet Joule et un fluide en ébullition traversant ce tube. Ce problème est motivé par l'étude de certains phénomènes pouvant survenir dans les échangeurs de chaleur de centrales nucléaires, dont en particulier le phénomène de crise d'ébullition qui conduit à l'apparition de très forts gradients thermiques dans le tube. Le modèle utilisé se constitue d'une équation de la chaleur non-linéaire régissant la température dans le tube et d'une équation de transport régissant le ti

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Johnson, Tomas. "Computer-aided Computation of Abelian integrals and Robust Normal Forms." Doctoral thesis, Uppsala universitet, Matematiska institutionen, 2009. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-107519.

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This PhD thesis consists of a summary and seven papers, where various applications of auto-validated computations are studied. In the first paper we describe a rigorous method to determine unknown parameters in a system of ordinary differential equations from measured data with known bounds on the noise of the measurements. Papers II, III, IV, and V are concerned with Abelian integrals. In Paper II, we construct an auto-validated algorithm to compute Abelian integrals. In Paper III we investigate, via an example, how one can use this algorithm to determine the possible configurations of limit

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Wu, Xue-Zheng. "Smooth linearization near a hyperbolic fixed point." 1990. http://catalog.hathitrust.org/api/volumes/oclc/23092455.html.

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Norfleet, Mark Alan. "Fuchsian groups of signature (0 : 2, ... , 2; 1; 0) with rational hyperbolic fixed points." 2013. http://hdl.handle.net/2152/21688.

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We construct Fuchsian groups [Gamma] of signature (0 : 2, ... ,2 ;1;0) so that the set of hyperbolic fixed points of [Gamma] will contain a given finite collection of elements in the boundary of the hyperbolic plane. We use this to establish that there are infinitely many non-commensurable non-cocompact Fuchsian groups [Delta] of finite covolume sitting in PSL₂(Q) so that the set of hyperbolic fixed points of [Delta] will contain a given finite collection of rational boundary points of the hyperbolic plane. We also give a parameterization of Fuchsian groups of signature (0:2,2,2;1;0) and inves

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Book chapters on the topic "Hyperbolic fixed point"

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Kirk, William, and Naseer Shahzad. "Busemann Spaces and Hyperbolic Spaces." In Fixed Point Theory in Distance Spaces. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-10927-5_6.

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Martínez-Moreno, Juan, Kenyi Calderón, Poom Kumam, and Edixon Rojas. "Approximating Fixed Points of Suzuki $$(\alpha ,\beta )$$-Nonexpansive Mappings in Ordered Hyperbolic Metric Spaces." In Advances in Metric Fixed Point Theory and Applications. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-33-6647-3_15.

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Arnold, Ludwig, and Petra Boxler. "Additive noise turns a hyperbolic fixed point into a stationary solution." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/bfb0086665.

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Chen, Kuo-Tsai. "On Nonelementary Hyperbolic Fixed Points of Diffeomorphisms." In Collected Papers of K.-T. Chen. Birkhäuser Boston, 2001. http://dx.doi.org/10.1007/978-1-4612-2096-1_23.

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Shoikhet, David. "Hyperbolic geometry on the unit disk and fixed points." In Semigroups in Geometrical Function Theory. Springer Netherlands, 2001. http://dx.doi.org/10.1007/978-94-015-9632-9_3.

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Kapçak, Sinan. "A Note on Non-hyperbolic Fixed Points of One-Dimensional Maps." In Progress on Difference Equations and Discrete Dynamical Systems. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-60107-2_12.

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Palmer, Ken. "Hyperbolic Fixed Points of Diffeomorphisms and Their Stable and Unstable Manifolds." In Shadowing in Dynamical Systems. Springer US, 2000. http://dx.doi.org/10.1007/978-1-4757-3210-8_1.

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Haro, A. "Center and Center-(Un)Stable Manifolds of Elliptic-Hyperbolic Fixed Points of 4D-Symplectic Maps. an Example: the Froeschlé Map." In Hamiltonian Systems with Three or More Degrees of Freedom. Springer Netherlands, 1999. http://dx.doi.org/10.1007/978-94-011-4673-9_46.

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"4. Hyperbolic fixed point." In Spaces of Dynamical Systems. De Gruyter, 2019. http://dx.doi.org/10.1515/9783110657166-004.

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Georgiev, Svetlin G., and Khaled Zennir. "Applications to Hyperbolic Equations." In Multiple Fixed-Point Theorems and Applications in the Theory of ODEs, FDEs and PDEs. Chapman and Hall/CRC, 2020. http://dx.doi.org/10.1201/9781003028727-5.

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Conference papers on the topic "Hyperbolic fixed point"

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Tar, Jozsef K., Janos F. Bito, Imre J. Rudas, Krzysztof R. Kozlowski, and Jose A. Tenreiro Machado. "Possible adaptive control by tangent hyperbolic fixed point transformations used for controlling the -6-type van der pol oscillator." In 2008 IEEE International Conference on Computational Cybernetics (ICCC). IEEE, 2008. http://dx.doi.org/10.1109/icccyb.2008.4721371.

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Ulucakli, M. Erol. "Chaotic Mixing of Highly Viscous Liquids With Rectangular or Elliptical Rotors." In ASME 2005 International Mechanical Engineering Congress and Exposition. ASMEDC, 2005. http://dx.doi.org/10.1115/imece2005-81036.

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The objective of this research is to experimentally investigate various mixing regions in a two-dimensional Stokes flow driven by a rectangular or elliptical rotor. Flow occurs in a rectangular cell filled with a very viscous fluid. The Reynolds number based on rotor size is in the order of 0.5. The flow is time-periodic and can be analyzed, both theoretically and experimentally, by considering the Poincare map that maps the position of a fluid particle to its position one period later. The mixing regions of the flow are determined, theoretically, by the fixed points of this map, either hyperb

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Abadjiev, V., and D. Petrova. "Synthesis of Geometric Primary Circles of Externally Meshed Skew-Axes Gears." In ASME 1989 Design Technical Conferences. American Society of Mechanical Engineers, 1989. http://dx.doi.org/10.1115/detc1989-0130.

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Abstract What are considered are geometric primary circles of gears which transform rotations between fixed skewed axes with a constant speed ratio. These imaginary circles differ from the pitch ones of the gears with parallel or intersecting axes. It seems they are used succeessfully for the first time as a start point in designing hyperbolic gears. Both the diameters and the mutual position parameters of the geometric primary circles are needed when gear over-alls and mounting distances as well as teeth geometry are determined.

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Jian-hui, Li, Yi Chao-gang, Liu Man-lan, Zhi Yan-li, and Yu Gong-shan. "Study on the dynamic behavior of truncation errors in non-hyperbolic fixed points chaotic systems." In 2020 International Conference on Information Science, Parallel and Distributed Systems (ISPDS). IEEE, 2020. http://dx.doi.org/10.1109/ispds51347.2020.00026.

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Hayes, Christina, and Tomáš Gedeon. "Hyperbolic fixed points are typical in the space of mixing operators for the infinite population genetic algorithm." In the 2005 workshops. ACM Press, 2005. http://dx.doi.org/10.1145/1102256.1102336.

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Orynyak, Igor, Maksym Zarazovskii, and Andrii Bogdan. "Determination of the Transition Temperature Scatter Using the Charpy Data Scatter." In ASME 2013 Pressure Vessels and Piping Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/pvp2013-97697.

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For a pressure vessels integrity assessment it is necessary to know the transition temperature of metal. It is defined from the hyperbolic tangent curve, which best approximates the Charpy V-notched (CVN) impact tests data, as the temperature corresponding to some fixed Charpy impact energy. However, when planning experiments, processing of the results, and interpreting of the resulting transition temperature, two problems arise which have not been studied in the literature. First — sufficiency of the CVN impact tests data for a curve fit building and transition temperature determination. Seco

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