Relevant bibliographies by topics / Topological discontinuity

Academic literature on the topic 'Topological discontinuity'

Author: Grafiati
Published: 30 May 2022
Last updated: 31 May 2022

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Journal articles on the topic "Topological discontinuity"

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YILDIZ, IZZET BURAK. "Discontinuity of topological entropy for Lozi maps." Ergodic Theory and Dynamical Systems 32, no. 5 (September 16, 2011): 1783–800. http://dx.doi.org/10.1017/s0143385711000411.

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AbstractRecently, Buzzi [Maximal entropy measures for piecewise affine surface homeomorphisms. Ergod. Th. & Dynam. Sys.29 (2009), 1723–1763] showed in the compact case that the entropy map f→htop(f) is lower semi-continuous for all piecewise affine surface homeomorphisms. We prove that topological entropy for Lozi maps can jump from zero to a value above 0.1203 as one crosses a particular parameter and hence it is not upper semi-continuous in general. Moreover, our results can be extended to a small neighborhood of this parameter showing the jump in the entropy occurs along a line segment in the parameter space.
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Janse, Å. M., B. C. Low, and E. N. Parker. "Topological complexity and tangential discontinuity in magnetic fields." Physics of Plasmas 17, no. 9 (September 2010): 092901. http://dx.doi.org/10.1063/1.3474943.

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Maslyuchenko, Oleksandr V. "The discontinuity point sets of quasi-continuous functions." Bulletin of the Australian Mathematical Society 75, no. 3 (June 2007): 373–79. http://dx.doi.org/10.1017/s0004972700039307.

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It is proved that a subsetEof a hereditarily normal topological spaceXis a discontinuity point set of some quasi-continuous functionf:X→ ℝ if and only ifEis a countable union of setsEn=Ān⋂Bdash abovenwhereĀn⋂Bn=An⋂Bdash aboven= φ
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NOGUEIRA, A., and D. RUDOLPH. "Topological weak-mixing of interval exchange maps." Ergodic Theory and Dynamical Systems 17, no. 5 (October 1997): 1183–209. http://dx.doi.org/10.1017/s0143385797086276.

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An interval map with only one discontinuity is isomorphic to a rotation of the circle, and has continuous eigenfunctions. What we show here is that for almost every choice of lengths of the intervals, this is the only way an irreducible interval exchange can have a somewhere continuous eigenfunction. We show slightly more, considering certain towers over the interval exchange, showing that outside of a set of choices for interval lengths of measure zero these have a somewhere continuous eigenfunction only if they are isomorphic to either a rotation, or a tower of constant height over an interval exchange.
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Fan, Jun. "Computer Data Structure for Geological Entities Modelling Based on OO-Solid Model." Advanced Materials Research 383-390 (November 2011): 2484–91. http://dx.doi.org/10.4028/www.scientific.net/amr.383-390.2484.

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In the long evolution of the earth formation often form a complex geological structure, modeling for these complex geological entities (such as thinning-out, bifurcation, reverse, etc.) still require in-depth 3D modeling study. Because of discontinuity, complexity and uncertainty of distribution of 3D geo-objects, some models only are suitable for regular, continuous and relatively simple spatial objects, and some are suitable for discontinue, complex and uncertain geo-objects, but some improvements on these models, such as, updating of model, maintenance of topological and seamless integration between models, are still to be made. OO-Solid model, put forward by writer in 2002, is an object- oriented topological model based on sections. The OO-Solid Model is an object-oriented 3D topologic data model based on component for geology modeling with fully considering the topological relations between geological objects and its geometric primitives, Comparatively, it accords with the actual requirements of three-dimensional geological modeling . The key issue of 3D geology modeling is the 3D data model. Some data models are suitable for discontinue, complex and uncertain geo-objects, but the OO-Solid model is an object-oriented 3D topologic data model based on component for geology modeling with fully considering the topological relations between geological objects and its geometric primitives. OO-Solid model and data structure are designed. At last, 3D complex geological entities modeling based on OO-Solid are studied in this paper. These study is important and one of the core techniques for the 3DGM.
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PANTAZOPOULOS, IOANNIS A., and SPYROS G. TZAFESTAS. "OPTIMIZING THE SUBDIVISION OF ELEMENTS IN DISCONTINUITY MESHING FOR HIERARCHICAL RADIOSITY." International Journal on Artificial Intelligence Tools 12, no. 04 (December 2003): 395–411. http://dx.doi.org/10.1142/s0218213003001290.

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This paper presents a new topological structure for use in the context of hierarchical radiosity combined with discontinuity meshing. This is most useful for a new strategy adopted for subdividing the elements of a scene consisting of convex polygons. The subdivision is done in a local optimization manner keeping the aspect ratios of produced polygons low. The generated meshes give high visual accuracy.
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KRASNENKER, A. "DISCONTINUITY OF FOURIER TRANSFORMS OF POISSONIAN TYPE COUNTABLY ADDITIVE MEASURES." Infinite Dimensional Analysis, Quantum Probability and Related Topics 16, no. 01 (March 2013): 1350002. http://dx.doi.org/10.1142/s0219025713500021.

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It is proved in the paper that different natural Fourier transforms (FTs) of the measure mentioned in the title are not continuous with respect to such sufficient topologies as Sazonov and Gross–Sazonov (introduced by Smolyanov [Gross–Sazonov theorem for alternating cylindrical measures, Vestnik Moskov. Univ. (4) (1983) 4–12]) topologies. The motivation of the result is the fact that the FT of the standard Wiener measure is discontinuous in a known sufficient topologies as stated by Smolyanov and Fomin (see e.g., [Measures on Topological Linear Spaces, Uspekhi Mat. Nauk31(4) (1976) 3–56]).
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Ohshika, Ken'ichi. "Strong convergence of Kleinian groups and Carathéodory convergence of domains of discontinuity." Mathematical Proceedings of the Cambridge Philosophical Society 112, no. 2 (September 1992): 297–307. http://dx.doi.org/10.1017/s0305004100070985.

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In the theory of Kleinian groups, important examples of Kleinian groups are frequently constructed as algebraic limits of known sequences of Kleinian groups, for example quasi-conformal deformations of a Kleinian group. It is an important problem to determine the properties of the limit Kleinian group from information on the sequence converging to the limit. The topological properties of the domain of discontinuity and the limit set of a Kleinian group provide valuable pieces of information about the Kleinian group. It is reasonable to expect that in a good situation, the domain of discontinuity of the limit Kleinian group is the Carathéodory limit of the domains of discontinuity of the sequence, or, equivalently, the limit set of the limit Kleinian group is the Hausdorif limit of the limit sets of the sequence. Our main theorem (Theorem 5) shows that this is true when the sequence strongly converges to the limit, and the Kleinian groups of the sequence and the limit preserve the parabolicity in both directions and satisfy the condition (*) introduced by Bonahon.
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Kuznetsov, Yu A., S. Rinaldi, and A. Gragnani. "One-Parameter Bifurcations in Planar Filippov Systems." International Journal of Bifurcation and Chaos 13, no. 08 (August 2003): 2157–88. http://dx.doi.org/10.1142/s0218127403007874.

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We give an overview of all codim 1 bifurcations in generic planar discontinuous piecewise smooth autonomous systems, here called Filippov systems. Bifurcations are defined using the classical approach of topological equivalence. This allows the development of a simple geometric criterion for classifying sliding bifurcations, i.e. bifurcations in which some sliding on the discontinuity boundary is critically involved. The full catalog of local and global bifurcations is given, together with explicit topological normal forms for the local ones. Moreover, for each bifurcation, a defining system is proposed that can be used to numerically compute the corresponding bifurcation curve with standard continuation techniques. A problem of exploitation of a predator–prey community is analyzed with the proposed methods.
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Razani, Abdolrahman. "Chapman-Jouguet detonation profile for a qualitative model." Bulletin of the Australian Mathematical Society 66, no. 3 (December 2002): 393–403. http://dx.doi.org/10.1017/s0004972700040259.

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In this article, the existence of traveling wave fronts for a one step chemical reaction with a natural discontinuous reaction rate function is studied. This discontinuity occurs because of the cold boundary difficulty and implies a discontinuous system of ordinary differential equations. By some general topological arguments in ordinary differential equations, the Chapman-Jouguet detonation for exothermic reactions is shown to exist. In addition, the uniqueness of this wave is considered.
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Dissertations / Theses on the topic "Topological discontinuity"

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Denniston, Jeffrey T. "A Study of Subsystems of Topological Systems Motivated by the Question of Discontinuity in TopSys." Kent State University / OhioLINK, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=kent1497095905660085.

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Book chapters on the topic "Topological discontinuity"

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Hernández-Navarro, Miguel Á. "Topological thought anachronism and discontinuity in visual studies." In Farewell to Visual Studies, 246–48. Penn State University Press, 2015. http://dx.doi.org/10.1515/9780271075747-044.

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