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Relevant bibliographies by topics / Algebraic dynamics

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Academic literature on the topic 'Algebraic dynamics'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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Journal articles on the topic "Algebraic dynamics"

1

VIALLET, C. M. "ALGEBRAIC DYNAMICS AND ALGEBRAIC ENTROPY." International Journal of Geometric Methods in Modern Physics 05, no. 08 (2008): 1373–91. http://dx.doi.org/10.1142/s0219887808003375.

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We give the definition of algebraic entropy, which is a global index of complexity for dynamical systems with a rational evolution. We explain its geometrical meaning, and different methods, heuristic or exact to calculate this entropy. This quantity is a very good integrability detector. It also has remarkable properties, which make it an interesting object of study by itself. It is in particular conjectured to be the logarithm of algebraic integer, with a limited range of values, still to be explored.

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Lindahl, Karl-Olof. "Applied algebraic dynamics." P-Adic Numbers, Ultrametric Analysis, and Applications 2, no. 4 (2010): 360–62. http://dx.doi.org/10.1134/s2070046610040084.

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Zhang, Hua, WeiTao Lu, and ShunJin Wang. "Algebraic dynamics solution and algebraic dynamics algorithm of Burgers equations." Science in China Series G: Physics, Mechanics and Astronomy 51, no. 11 (2008): 1647–52. http://dx.doi.org/10.1007/s11433-008-0156-9.

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Zhang, Shou-Wu. "Distributions in algebraic dynamics." Surveys in Differential Geometry 10, no. 1 (2005): 381–430. http://dx.doi.org/10.4310/sdg.2005.v10.n1.a9.

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Wang, ShunJin, and Hua Zhang. "Symplectic algebraic dynamics algorithm." Science in China Series G: Physics, Mechanics and Astronomy 50, no. 2 (2007): 133–43. http://dx.doi.org/10.1007/s11433-007-0013-2.

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Wang, Shunjin, and Hua Zhang. "Algebraic dynamics solutions and algebraic dynamics algorithm for nonlinear ordinary differential equations." Science in China Series G: Physics, Mechanics and Astronomy 49, no. 6 (2006): 716–28. http://dx.doi.org/10.1007/s11433-006-2017-8.

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Zhang, Hua, WeiTao Lu, and ShunJin Wang. "Algebraic dynamics solution to and algebraic dynamics algorithm for nonlinear advection equation." Science in China Series G: Physics, Mechanics and Astronomy 51, no. 10 (2008): 1470–78. http://dx.doi.org/10.1007/s11433-008-0148-9.

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MATSUNO, YOSHIMASA. "DYNAMICS OF INTERACTING ALGEBRAIC SOLITONS." International Journal of Modern Physics B 09, no. 17 (1995): 1985–2081. http://dx.doi.org/10.1142/s0217979295000811.

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A survey is made which highlights recent topics on the dynamics of algebraic solitons, which are exact solutions to a certain class of nonlinear integrodifferential evolution equations. The model equations that we consider here are the Benjamin-Ono (BO) and its higher-order equations together with the BO-Burgers equation, a model equation for deep-water waves, the sine-Hilbert (sH) equation and a damped sH equation. While these equations have their origin either in physics or in mathematics, each equation exhibits a novel type of algebraic soliton solution and hence its characteristic is worth

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Alonso, L. Martinez, and E. Olmedilla Moreno. "Algebraic geometry and soliton dynamics." Chaos, Solitons & Fractals 5, no. 12 (1995): 2213–27. http://dx.doi.org/10.1016/0960-0779(94)e0096-8.

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Leschber, Yorck, and J. P. Draayer. "Algebraic realization of rotational dynamics." Physics Letters B 190, no. 1-2 (1987): 1–6. http://dx.doi.org/10.1016/0370-2693(87)90829-x.

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Dissertations / Theses on the topic "Algebraic dynamics"

1

D'Ambros, Paola. "Algebraic dynamics in positive characteristic." Thesis, University of East Anglia, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.365044.

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Virili, Simone. "Group representations, algebraic dynamics and torsion theories." Doctoral thesis, Universitat Autònoma de Barcelona, 2014. http://hdl.handle.net/10803/284141.

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La tesis está organizada en doce capítulos, divididos en cinco partes. La Parte I comprende los primeros tres capítulos. En el Capítulo 1 damos una breve introducción a la teoría de las categorías y recordamos las técnicas de las teorías de torsión y de la localización de categorías de Grothendieck. Empezamos el Capítulo 2 introduciendo la categoría de los "casi-frames" y estudiamos algunas construcciones básicas en esta categoría; en la segunda parte del capítulo estudiamos las dimensiones de Krull y de Gabriel de los casi-frames. Usando el hecho que los retículos de sub-objectos de un objeto

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Wendler, Tim Glenn. "Algebraic Semi-Classical Model for Reaction Dynamics." BYU ScholarsArchive, 2014. https://scholarsarchive.byu.edu/etd/5755.

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We use an algebraic method to model the molecular collision dynamics of a collinear triatomic system. Beginning with a forced oscillator, we develop a mathematical framework upon which inelastic and reactive collisions are modeled. The model is considered algebraic because it takes advantage of the properties of a Lie algebra in the derivation of a time-evolution operator. The time-evolution operator is shown to generate both phase-space and quantum dynamics of a forced oscillator simultaneously. The model is considered semi-classical because only the molecule's internal degrees-of-freedom are

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Xie, Junyi. "Algebraic dynamics of rational self-maps on surfaces." Palaiseau, Ecole polytechnique, 2014. http://pastel.archives-ouvertes.fr/docs/01/02/54/12/PDF/phd20140412.pdf.

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Cette thèse se se compose de trois parties. La première partie est consacrée à l'étude des points périodiques des applications birationnelles des surfaces projectives. Nous montrons que toute application birationnelle de surface dont la croissance des degrés est exponentielle admet un ensemble de points périodiques Zariski dense. Dans la seconde partie, nous démontrons la conjecture de Mordell-Lang dynamique pour toute application polynomiale birationnelle du plan affine définie sur un corps de caractéristique nulle. Notre approche donne une nouvelle démonstration de cette conjecture pour les

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Alam, Md Shafiful. "Iterative Methods to Solve Systems of Nonlinear Algebraic Equations." TopSCHOLAR®, 2018. https://digitalcommons.wku.edu/theses/2305.

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Iterative methods have been a very important area of study in numerical analysis since the inception of computational science. Their use ranges from solving algebraic equations to systems of differential equations and many more. In this thesis, we discuss several iterative methods, however our main focus is Newton's method. We present a detailed study of Newton's method, its order of convergence and the asymptotic error constant when solving problems of various types as well as analyze several pitfalls, which can affect convergence. We also pose some necessary and sufficient conditions on the

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Jogia, Danesh Michael Mathematics &amp Statistics Faculty of Science UNSW. "Algebraic aspects of integrability and reversibility in maps." Publisher:University of New South Wales. Mathematics & Statistics, 2008. http://handle.unsw.edu.au/1959.4/40947.

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We study the cause of the signature over finite fields of integrability in two dimensional discrete dynamical systems by using theory from algebraic geometry. In particular the theory of elliptic curves is used to prove the major result of the thesis: that all birational maps that preserve an elliptic curve necessarily act on that elliptic curve as addition under the associated group law. Our result generalises special cases previously given in the literature. We apply this theorem to the specific cases when the ground fields are finite fields of prime order and the function field $mathbb{C}(t

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Berger, Ulrich. "Non-algebraic convergence proofs for continuous-time fictitious play." Springer, 2012. http://epub.wu.ac.at/5591/1/2012_DGA.pdf.

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In this technical note we use insights from the theory of projective geometry to provide novel and non-algebraic proofs of convergence of continuous-time fictitious play for a class of games. As a corollary we obtain a kind of equilibrium selection result, whereby continuous-time fictitious play converges to a particular equilibrium contained in a continuum of equivalent equilibria for symmetric 4x4 zero-sum games.

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D'Rozario, Robert S. G. "Conformational dynamics of proline-containing transmembrane helices." Thesis, University of Oxford, 2006. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.670181.

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Mirahmadi, Marjansadat [Verfasser]. "Spectra and Dynamics of Driven Linear Quantum Rotors: Symmetry Analysis and Algebraic Methods / Marjansadat Mirahmadi." Berlin : epubli, 2020. http://d-nb.info/1205608095/34.

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Müller, Annette [Verfasser]. "On algebraic and geometric aspects of fluid dynamics: New perspectives based on Nambu mechanics and its applications to atmospheric dynamics / Annette Müller." Berlin : Freie Universität Berlin, 2018. http://d-nb.info/117670544X/34.

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Books on the topic "Algebraic dynamics"

1

Khrennikov, A. I͡U. (Andreĭ I͡Urʹevich), 1958-, ed. Applied algebraic dynamics. Walter De Gruyter, 2009.

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2

Kolyada, Sergiy, Yuri Manin, and Thomas Ward, eds. Algebraic and Topological Dynamics. American Mathematical Society, 2005. http://dx.doi.org/10.1090/conm/385.

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Urs, Kirchgraber, and Walther Hans-Otto, eds. Dynamics Reported: Expositions in Dynamical Systems. Springer Berlin Heidelberg, 1994.

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Ling, Frederick F., and William Howard Hart, eds. Intermediate Dynamics: A Linear Algebraic Approach. Springer-Verlag, 2006. http://dx.doi.org/10.1007/0-387-28316-1.

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Iachello, F. Algebraic theory of molecules. Oxford University Press, 1994.

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Iachello, F. Algebraic theory of molecules. Oxford University Press, 1995.

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Max-Planck-Institut. Algebraic and topological dynamics: Algebraic and Topological Dynamics, May 1-July 31, 2004, Max-Planck-Institut für Mathematik, Bonn, Germany. Edited by Koli︠a︡da S. F, Manin I︠U︡ I, and Ward Thomas 1963-. American Mathematical Society, 2005.

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8

Everest, Graham, and Thomas Ward. Heights of Polynomials and Entropy in Algebraic Dynamics. Springer London, 1999. http://dx.doi.org/10.1007/978-1-4471-3898-3.

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Everest, Graham. Heights of polynomials and entropy in algebraic dynamics. Springer, 1999.

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R, Wiese Michael, and United States. National Aeronautics and Space Administration. Scientific and Technical Information Branch., eds. Interactive algebraic grid-generation technique. National Aeronautics and Space Administration, Scientific and Technical Information Branch, 1986.

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Book chapters on the topic "Algebraic dynamics"

1

Stumpf, Harald, and Thomas Borne. "Algebraic Schrödinger Representation." In Composite Particle Dynamics in Quantum Field Theory. Vieweg+Teubner Verlag, 1994. http://dx.doi.org/10.1007/978-3-322-83901-5_4.

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Merker, Joël. "Rationality in Differential Algebraic Geometry." In Complex Geometry and Dynamics. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-20337-9_8.

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Dompere, Kofi Kissi. "Info-dynamics: An Algebraic Introduction." In Studies in Systems, Decision and Control. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-63853-9_5.

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4

Silverman, Joseph H. "Dynamics Associated to Algebraic Groups." In The Arithmetic of Dynamical Systems. Springer New York, 2007. http://dx.doi.org/10.1007/978-0-387-69904-2_7.

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5

Nowakowska, M. "An Algebraic Approach to Discourses and their Goals." In Linguistic Dynamics, edited by Thomas T. Ballmer. De Gruyter, 1985. http://dx.doi.org/10.1515/9783110850949-007.

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Kolev, Nikolay Ivanov. "Diffusion velocities for algebraic slip models." In Multiphase Flow Dynamics 2. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-20598-9_4.

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Saad, T., and M. Darwish. "A high scalability parallel algebraic multigrid solver." In Computational Fluid Dynamics 2006. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-540-92779-2_34.

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Yau, Stephen, and Huaiqing Zuo. "Interplay Between CR Geometry and Algebraic Geometry." In Complex Geometry and Dynamics. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-20337-9_10.

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Berger, Thomas. "Zero Dynamics and Stabilization for Linear DAEs." In Differential-Algebraic Equations Forum. Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-662-44926-4_2.

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Ostović, Vlado. "Extended System of Machine Algebraic Equations." In Dynamics of Saturated Electric Machines. Springer New York, 1989. http://dx.doi.org/10.1007/978-1-4613-8933-0_4.

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Conference papers on the topic "Algebraic dynamics"

1

Živanović, Nikolina, and Zoran D. Jeličić. "Optimal Control of Systems with Fractional Dynamics and Algebraic Constraints." In 2025 24th International Symposium INFOTEH-JAHORINA (INFOTEH). IEEE, 2025. https://doi.org/10.1109/infoteh64129.2025.10959169.

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Sonneville, Valentin, Tyler Sinotte, and Olivier Bauchau. "Modal Reduction of Fatigue Sensitive Components for Comprehensive Rotorcraft Dynamics Simulation." In Vertical Flight Society 74th Annual Forum & Technology Display. The Vertical Flight Society, 2018. http://dx.doi.org/10.4050/f-0074-2018-12766.

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Rotorcrafts often involve fatigue sensitive components that present complex three dimensional geometries and undergo small deformations, such as a fuselage, a swashplate and pitch link rods. For those components, two questions must be answered: (1) what is the impact of the flexibility of the component on the dynamic response of the overall system and (2) what is the three-dimensional stress field in such component? The prediction of the three-dimensional stress fields in these complex components and the assessment of their fatigue life require the use of three-dimensional finite element model

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3

RAMAKRISHNAN, S., and U. GOLDBERG. "Versatility of an algebraic backflow turbulence model." In 21st Fluid Dynamics, Plasma Dynamics and Lasers Conference. American Institute of Aeronautics and Astronautics, 1990. http://dx.doi.org/10.2514/6.1990-1485.

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MAVRIPLIS, DIMITRI. "Algebraic turbulence modeling for unstructured and adaptive meshes." In 21st Fluid Dynamics, Plasma Dynamics and Lasers Conference. American Institute of Aeronautics and Astronautics, 1990. http://dx.doi.org/10.2514/6.1990-1653.

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CHURCHILL, RICHARD C. "DIFFERENTIAL ALGEBRAIC TECHNIQUES IN HAMILTONIAN DYNAMICS." In Proceedings of the International Workshop. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812778437_0008.

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MOITRA, ANUTOSH. "Two and three dimensional grid generation by an algebraic homotopy procedure." In 21st Fluid Dynamics, Plasma Dynamics and Lasers Conference. American Institute of Aeronautics and Astronautics, 1990. http://dx.doi.org/10.2514/6.1990-1603.

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Dhinagaran, R., and T. Bose. "Two-dimensional jet interaction flowfield predictions with an algebraic turbulence model." In Fluid Dynamics Conference. American Institute of Aeronautics and Astronautics, 1995. http://dx.doi.org/10.2514/6.1995-2242.

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Hirsch, Charles, and A. Khodak. "Modeling of complex internal flows with Reynolds stress algebraic equation model." In Fluid Dynamics Conference. American Institute of Aeronautics and Astronautics, 1995. http://dx.doi.org/10.2514/6.1995-2246.

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Mencinger, Matej, Marko Robnik, and Valery Romanovski. "On algebraic approach in quadratic systems." In LET’S FACE CHAOS THROUGH NONLINEAR DYNAMICS: Proceedings of “Let’s Face Chaos Through Nonlinear Dynamics” 7th International Summer School and Conference. AIP, 2008. http://dx.doi.org/10.1063/1.3046248.

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Zhang, Y., Q. Y. Li, Y. Zuo, and X. X. Wang. "ALGEBRAIC REALIZATION OF THE TRIAXIAL ROTOR DYNAMICS." In 15th National Conference on Nuclear Structure in China. WORLD SCIENTIFIC, 2016. http://dx.doi.org/10.1142/9789813109636_0039.

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Reports on the topic "Algebraic dynamics"

1

Berz, M. Differential algebraic description of beam dynamics to very high orders. Office of Scientific and Technical Information (OSTI), 1988. http://dx.doi.org/10.2172/6876262.

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Vilasi, Gaetano. Nambu Dynamics, n-Lie Algebras and Integrability. GIQ, 2012. http://dx.doi.org/10.7546/giq-10-2009-265-278.

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Vilasi, Gaetano. Nambu Dynamics, n-Lie Algebras and Integrability. Journal of Geometry and Symmetry in Physics, 2012. http://dx.doi.org/10.7546/jgsp-16-2009-77-91.

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Kyuldjiev, Assen, Vladimir Gerdjikov, and Giuseppe Marmo. Manev Problem and Its Real Form Dynamics: Superintegrability and Symmetry Algebras. GIQ, 2012. http://dx.doi.org/10.7546/giq-7-2006-203-217.

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Yan, Y. Applications of differential algebra to single-particle dynamics in storage rings. Office of Scientific and Technical Information (OSTI), 1991. http://dx.doi.org/10.2172/5166998.

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Mesbahi, Mehran. Dynamic Security and Robustness of Networked Systems: Random Graphs, Algebraic Graph Theory, and Control over Networks. Defense Technical Information Center, 2012. http://dx.doi.org/10.21236/ada567125.

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Berz, M., E. Forest, and J. Irwin. Exact computation of derivatives with differential algebra and applications to beam dynamics. Office of Scientific and Technical Information (OSTI), 1988. http://dx.doi.org/10.2172/7050634.

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Bilousova, Liudmyla I., Liudmyla E. Gryzun, Daria H. Sherstiuk, and Ekaterina O. Shmeltser. Cloud-based complex of computer transdisciplinary models in the context of holistic educational approach. [б. в.], 2019. http://dx.doi.org/10.31812/123456789/3259.

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The paper represents the authors’ cloud-based complex of computer dynamic models and their transdisciplinary facilities. Proper theoretical background for the complex design is elaborated and the process of the computer models development is covered. The models in the complex are grouped in the sections according to the curriculum subjects (Physics, Algebra, Geometry, Biology, Geography, and Informatics). Each of the sections includes proper models along with their description and transdisciplinary didactic support. The paper also presents recommendations as for using of the complex to provide

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Bond, W., Maria Seale, and Jeffrey Hensley. A dynamic hyperbolic surface model for responsive data mining. Engineer Research and Development Center (U.S.), 2022. http://dx.doi.org/10.21079/11681/43886.

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Data management systems impose structure on data via a static representation schema or data structure. Information from the data is extracted by executing queries based on predefined operators. This paradigm restricts the searchability of the data to concepts and relationships that are known or assumed to exist among the objects. While this is an effective and efficient means of retrieving simple information, we propose that such a structure severely limits the ability to derive breakthrough knowledge that exists in data under the guise of “unknown unknowns.” A dynamic system will alleviate th

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