Relevant bibliographies by topics / Algebraic dynamics

Academic literature on the topic 'Algebraic dynamics'

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Published: 4 June 2021
Last updated: 19 February 2022

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Journal articles on the topic "Algebraic dynamics"

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VIALLET, C. M. "ALGEBRAIC DYNAMICS AND ALGEBRAIC ENTROPY." International Journal of Geometric Methods in Modern Physics 05, no. 08 (December 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 (November 25, 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 (August 21, 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 (April 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 (December 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 (August 11, 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 (July 30, 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 studying in its own right. After deriving these equations, we are concerned with each equation separately. We first present explicit N-soliton solutions and then summarize related mathematical properties of the equation. Subsequently, a detailed description is given to the interaction process of two algebraic solitons using the pole expansion of the solution. Particular attention is paid to investigating the effects of small perturbations on the overtaking collision of two BO solitons by employing a direct multisoliton perturbation theory. It is shown that the dynamics of interacting algebraic solitons reveal new aspects which have never been observed in the interaction process of usual solitons expressed in terms of exponential functions.
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Leschber, Yorck, and J. P. Draayer. "Algebraic realization of rotational dynamics." Physics Letters B 190, no. 1-2 (May 1987): 1–6. http://dx.doi.org/10.1016/0370-2693(87)90829-x.

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

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Dissertations / Theses on the topic "Algebraic dynamics"

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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 dado en una categoría de Grothendieck es un casi-frame, podemos re-definir las nociones clásicas de dimension de Krull y de Gabriel para estos objetos. En el Capítulo 3 damos una breve introducción a los grupos y módulos topológicos. En particular, enunciamos el Teorema de Dualidad de Pontryagin-Van Kampen y el Teorema de Inversión de Fourier; además damos una demostración completa de un caso particular del Teorema de Dualidad de Müller entre módulos discretos y estrictamente linealmente compactos. Le Parte II está dedicada al estudio de la entropía en un contexto categórico. En el Capítulo 4 introducimos la categoría de los semigroupos pre-normados y la categoría de las T-representaciones de un monoide T sobre una categoría dada. Entonces definimos y estudiamos una función de entropía en la categoría de las T-representaciones sobre la categoría de los semigrupos pre-normados, con mayor énfasis en el caso en que T es un grupo amenable. En el Capítulo 5 damos ejemplos de invariantes clásicos que se pueden obtener de forma funtorial usando la entropía de semigrupos pre-normados definida en el capítulo anterior. Finalmente en el Capítulo 6 demostramos un Teorema Puente que relaciona la entropía topológica de acciones sobre grupos localmente compactos abelianos con la entropía algebraica de la acción sobre el grupo dual. En la Parte III estudiamos el problema de la extensión de las funciones de longitud a clases de módulos sobre productos cruzados utilizando la entropía. En particular, en el Capítulo 7 demostramos un teorema que describe la estructura de todas las funciones de longitud de una categoría de Grothendieck con dimensión de Gabriel. En el Capítulo 8 definimos y estudiamos la L-entropía algebraica de un RfiG-módulo M por la izquierda, donde R en un anillo general, G en un grupo amenable numerable y L es una función de longitud. En la Parte IV aplicamos la teoría desarollada a lo largo de la tesis a algunas conjeturas clásicas de la teoría de representaciones de grupos: la \Surjunctivity Conjecture", la \L-Surjunctivity Conjecture", la \Stable Finiteness Conjecture" y la \Zero-Divisors Conjecture". En el Capítulo 9 describimos las conjeturas y algunas relaciones entre ellas, inducidas por la dualidad de Müller. En el Capítulo 10 nos centramos en el caso amenable de las conjeturas, utilizando la entropía topologica para demostrar la Surjunctivity Conjecture para grupos amenables. Además explotamos la L-entropía algebraica para estudiar una versión general de la Stable Finiteness Conjecture y de la Zero-Divisors Conjecture. En el Capítulo 11 nos centramos en el caso sóficio de la L-Surjunctivity Conjecture y de la Stable Finiteness Conjecture, reduciendo ambas conjeturas a un enunciado más general sobre endomorfismos de casi-frames. Esto nos permite extender los resultados conocidos hasta ahora sobre las dos conjeturas. La Parte V está dedicada al estudio de aproximaciones de modelos para el algebra homológica relativa. En particular, aplicamos las herramientas desarrolladas en los Capítulos 1 y 2 para generalizar y re-interpretar algunos resultados recientes de Chachólski, Neeman, Pitsch, y Scherer.
The thesis is organized in twelve chapters divided in five parts. Part I encompasses the first three chapters and consists mainly of background material. In Chapter 1 we provide the necessary background in general category theory and we recall the machinery of torsion theories and localization of Grothendieck categories. We start Chapter 2 introducing the category of quasi-frame and we study the basic constructions in this category. In the second part of the chapter we study the Krull and the Gabriel dimension of quasi-frames. Using the fact that the poset of sub-objects of a given object in a Grothendieck category is a quasi-frame, we re-obtain the classical notions of Krull and Gabriel dimension for such objects. In Chapter 3 we provide the necessary background in topological groups and modules. In particular, we state the Pontryagin-Van Kampen Duality Theorem and the Fourier Inversion Theorem, furthermore we give a complete proof of a particular case of the Mülcer Duality Theorem between discrete and strictly linearly compact modules. Part II is devoted to the study of entropy in a categorical setting. In Chapter 4 we introduce the category of pre-normed semigroups and the category of left T-representations of a monoid T over a given category. Then, we introduce and study an entropy function in the category of left T-representations over the category of normed-semigroups, with particular emphasis on the case when T is an amenable group. Chapter 5 consist of a series of examples of classical invariants that can be obtained functorially using the entropy of pre-normed semigroups. Finally, in Chapter 6 we prove a Bridge Theorem that connects the topological entropy of actions on locally compact Abelian groups to the algebraic entropy of the action induced on the dual group. Part III is devoted to the study of length functions and to apply the machinery of entropy to extend length functions to crossed products. Indeed, in Chapter 7 we prove a general structure theorem for length functions of Grothendieck categories with Gabriel dimension. In Chapter 8 we define the algebraic L-entropy of a left RfiG-module M, where R is a general ring and G is a countable amenable group and L is a suitable length function. In Part IV we apply the theory developed in the three previous parts to some classical conjectures in group representations: the Surjunctivity Conjecture, the L-Surjunctivity Conjecture, the Stable Finiteness Conjecture and the Zero-Divisors Conjecture. Using the Müller Duality Theorem we can clarify some relations among these conjectures. In Chapter 10 we concentrate on the amenable case of the above conjectures. In particular, we show how to use topological entropy to prove the Surjunctivity Conjecture for amenable groups and we use the algebraic L-entropy to study (general versions of) the Stable Finiteness and the Zero-Divisors Conjectures. In Chapter 11 we concentrate on the sofic case of the L-Surjunctivity and of the Stable Finiteness Conjectures. In particular, we reduce both conjectures to a more general statement about endomorphisms of quasi-frames. This allows us to generalize the known results on both conjectures. Finally, Part V is devoted to the study of model approximations for relative homological algebra. In particular, we apply the machinery introduced in Chapters 1 and 2 to extend and reinterpret some recent results of Chachfiolski, Neeman, Pitsch, and Scherer.
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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 quantized. The relative translation between the colliding atom and molecule in an exchange reaction (AB+C ->A+BC) contains no bound states and any possible tunneling is neglected so the relative translation is treated classically. The purpose of this dissertation is to develop a working model for the quantum dynamics of a collinear reactive collision. After a reliable model is developed we apply statistical mechanics principles by averaging collisions with molecules in a thermal bath. The initial Boltzmann distribution is of the oscillator energies. The relative velocities of the colliding particles is considered a thermal average. Results are shown of quantum transition probabilities around the transition state that are highly dynamic due to the coupling between the translational and transverse coordinate.
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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 automorphismes polynomiaux du plan. Enfin la troisième partie porte sur un problème de géométrie affine inspiré par la généralisation au cas de toutes les applications polynomiales du plan affine de la conjecture de Mordell-Lang dynamique. Etant donné un ensemble fini S de valuations sur l'anneau de polynomes k[x,y] sur un corps algébriquement clos k triviales sur k, nous donnons une condition nécessaire et suffisante pour que le corps des fractions de l'intersection des anneaux de valuations de S avec k[x,y] soit de degré de transcendance 2 sur k
This thesis contains three parts. The first one is devoted to the study of the set of periodic points for birational surface maps. We prove that any birational transformation of a smooth projective surface whose degree growth is exponential admits a Zariski-dense set of periodic orbits. In the second part, we prove the dynamical Mordell-Lang conjecture for all polynomial birational transformations of the affine plane defined over a field of characteristic zero. Our approach gives a new proof of this conjecture for polynomial automorphisms of the affine plane. The last part is concerned with a problem in affine geometry that was inspired by the generalization to any polynomial map of the dynamical Mordell-Lang conjecture. Given any finite set S of valuations that are defined on the polynomial ring k[x,y] over an algebraically closed field k, trivial on k, we give a necessary and sufficient condition so that the field of fractions of the intersection of the valuation rings of S with k[x,y] has transcendence degree 2 over k
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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 function f for higher order of convergence. Different acceleration techniques are discussed with analysis of the asymptotic behavior of the iterates. Analogies between single variable and multivariable problems are detailed. We also explore some interesting phenomena while analyzing Newton's method for complex variables.
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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 $mathbb{C}(t)$. In the former case, this yields an explanation of the aforementioned signature over finite fields of integrability. In the latter case we arrive at an analogue of the Arnol'd-Liouville theorem. Other results that are related to this approach to integrability are also proven and their consequences considered in examples. Of particular importance are two separate items: (i) we define a generalization of integrability called mixing and examine its relation to integrability; and (ii) we use the concept of rotation number to study differences and similarities between birational integrable maps that preserve the same foliation. The final chapter is given over to considering the existence of the signature of reversibility in higher (three and four) dimensional maps. A conjecture regarding the distribution of periodic orbits generated by such maps when considered over finite fields is given along with numerical evidence to support the conjecture.
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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"

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

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

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

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

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

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Iachello, F. Algebraic theory of molecules. New York: 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-. Providence, R.I: American Mathematical Society, 2005.

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

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

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Layton, Richard A. Principles of analytical system dynamics. New York: Springer, 1998.

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Book chapters on the topic "Algebraic dynamics"

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Stumpf, Harald, and Thomas Borne. "Algebraic Schrödinger Representation." In Composite Particle Dynamics in Quantum Field Theory, 47–71. Wiesbaden: Vieweg+Teubner Verlag, 1994. http://dx.doi.org/10.1007/978-3-322-83901-5_4.

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Silverman, Joseph H. "Dynamics Associated to Algebraic Groups." In The Arithmetic of Dynamical Systems, 325–85. New York, NY: Springer New York, 2007. http://dx.doi.org/10.1007/978-0-387-69904-2_7.

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Dompere, Kofi Kissi. "Info-dynamics: An Algebraic Introduction." In Studies in Systems, Decision and Control, 91–115. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-63853-9_5.

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Merker, Joël. "Rationality in Differential Algebraic Geometry." In Complex Geometry and Dynamics, 157–209. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-20337-9_8.

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Nowakowska, M. "An Algebraic Approach to Discourses and their Goals." In Linguistic Dynamics, edited by Thomas T. Ballmer, 199–208. Berlin, Boston: 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, 119–60. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-20598-9_4.

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Yau, Stephen, and Huaiqing Zuo. "Interplay Between CR Geometry and Algebraic Geometry." In Complex Geometry and Dynamics, 227–58. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-20337-9_10.

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Saad, T., and M. Darwish. "A high scalability parallel algebraic multigrid solver." In Computational Fluid Dynamics 2006, 231–36. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-540-92779-2_34.

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Berger, Thomas. "Zero Dynamics and Stabilization for Linear DAEs." In Differential-Algebraic Equations Forum, 21–45. Berlin, Heidelberg: 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, 190–217. New York, NY: 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"

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RAMAKRISHNAN, S., and U. GOLDBERG. "Versatility of an algebraic backflow turbulence model." In 21st Fluid Dynamics, Plasma Dynamics and Lasers Conference. Reston, Virigina: 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. Reston, Virigina: 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. Reston, Virigina: 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. Reston, Virigina: 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. Reston, Virigina: 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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Rizzetta, Donald, and Donald Rizzetta. "Evaluation of algebraic Reynolds-stress models for separated high-speed flows." In 28th Fluid Dynamics Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1997. http://dx.doi.org/10.2514/6.1997-2125.

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Hellsten, Antti, Stefan Wallin, and Seppo Laine. "Scrutinizing Curvature Corrections for Algebraic Reynolds Stress Models." In 32nd AIAA Fluid Dynamics Conference and Exhibit. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2002. http://dx.doi.org/10.2514/6.2002-2963.

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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), January 1988. http://dx.doi.org/10.2172/6876262.

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2

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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3

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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4

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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5

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

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6

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

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7

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), March 1988. http://dx.doi.org/10.2172/7050634.

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