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Journal articles on the topic 'Differential topology'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Blackmore, Denis, and Yuriy Mileyko. "Computational differential topology." Applied General Topology 8, no. 1 (2007): 35. http://dx.doi.org/10.4995/agt.2007.1909.

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2

Shifrin, Theodore, and David B. Gauld. "Differential Topology: An Introduction." American Mathematical Monthly 92, no. 4 (1985): 294. http://dx.doi.org/10.2307/2323664.

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3

Borzellino, Joseph E., and Victor Brunsden. "Elementary orbifold differential topology." Topology and its Applications 159, no. 17 (2012): 3583–89. http://dx.doi.org/10.1016/j.topol.2012.08.032.

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4

Mathai, Varghese, and Guo Chuan Thiang. "Differential Topology of Semimetals." Communications in Mathematical Physics 355, no. 2 (2017): 561–602. http://dx.doi.org/10.1007/s00220-017-2965-z.

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5

Lazopoulos, Konstantinos A. "On Λ-Fractional Differential Equations". Foundations 2, № 3 (2022): 726–45. http://dx.doi.org/10.3390/foundations2030050.

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Λ-fractional differential equations are discussed since they exhibit non-locality and accuracy. Fractional derivatives form fractional differential equations, considered as describing better various physical phenomena. Nevertheless, fractional derivatives fail to satisfy the prerequisites of differential topology for generating differentials. Hence, all the sources of generating fractional differential equations, such as fractional differential geometry, the fractional calculus of variations, and the fractional field theory, are not mathematically accurate. Nevertheless, the Λ-fractional deriv

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6

Kaminker, Jerome. "$C^ *$-algebras and differential topology." Bulletin of the American Mathematical Society 12, no. 1 (1985): 125–28. http://dx.doi.org/10.1090/s0273-0979-1985-15312-1.

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7

Jonckheere, Edmond A., Farooq Ahmad, and Eugene Gutkin. "Differential topology of numerical range." Linear Algebra and its Applications 279, no. 1-3 (1998): 227–54. http://dx.doi.org/10.1016/s0024-3795(98)00021-4.

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8

Anderson, Laura. "TOPOLOGY OF COMBINATORIAL DIFFERENTIAL MANIFOLDS." Topology 38, no. 1 (1999): 197–221. http://dx.doi.org/10.1016/s0040-9383(98)00011-1.

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9

LIU, QINGMIN, SURAJIT SUTAR, and ALAN SEABAUGH. "TUNNEL DIODE/TRANSISTOR DIFFERENTIAL COMPARATOR." International Journal of High Speed Electronics and Systems 14, no. 03 (2004): 640–45. http://dx.doi.org/10.1142/s0129156404002600.

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A new tunnel diode/transistor circuit topology is reported, which both increases speed and reduces power in differential comparators. This circuit topology is of special interest for use in direct digital synthesis applications. The circuit topology can be extended to provide performance improvements in high speed logic and signal processing applications. The circuits are designed based on InP/GaAsSb double heterojunction bipolar transistors and AlAs/InGaAs/AlAs resonant tunneling diodes. A self-aligned and scalable fabrication approach using nitride sidewalls and chemical mechanical polishing

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10

Giblin, Peter, Y. G. Borisovich, N. M. Bliznyakov, T. N. Fomenko, and Y. A. Izrailevich. "Introduction to Differential and Algebraic Topology." Mathematical Gazette 81, no. 490 (1997): 170. http://dx.doi.org/10.2307/3618819.

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11

SAEKI, Osamu. "Data Visualization Based on Differential Topology." Proceedings of Mechanical Engineering Congress, Japan 2016 (2016): jikiin03. http://dx.doi.org/10.1299/jsmemecj.2016.jikiin03.

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12

Mormann, Thomas. "Carnap’s Metrical Conventionalism versus Differential Topology." Philosophy of Science 72, no. 5 (2005): 814–25. http://dx.doi.org/10.1086/508112.

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13

Johnson, F. E. A. "DIFFERENTIAL TOPOLOGY AND QUANTUM FIELD THEORY." Bulletin of the London Mathematical Society 24, no. 3 (1992): 299–301. http://dx.doi.org/10.1112/blms/24.3.299.

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14

Kirwan, Frances C. "Book Review: Differential geometry and topology." Bulletin of the American Mathematical Society 19, no. 1 (1988): 340–44. http://dx.doi.org/10.1090/s0273-0979-1988-15664-9.

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15

Huber, Annette, and Clemens Jörder. "Differential forms in the h-topology." Algebraic Geometry 1, no. 4 (2014): 449–78. http://dx.doi.org/10.14231/ag-2014-020.

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16

Biasotti, Silvia, Daniela Giorgi, and Giuseppe PatanÃ©. "Differential topology methods for shape description." PAMM 7, no. 1 (2007): 1141901–2. http://dx.doi.org/10.1002/pamm.200700173.

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17

Halkhams, Imane, Mahmoud Mehdi, Said Mazer, Moulhime El Bekkali, and Wafae El Hamdani. "Improved Fully Differential Low Power Active Filter." International Journal of Power Electronics and Drive Systems (IJPEDS) 8, no. 2 (2017): 747. http://dx.doi.org/10.11591/ijpeds.v8.i2.pp747-754.

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This paper relates the new topology and simulations of a fully differential CMOS active filter for mm wave band applications. The advantages of the differential topology over the single ended one are discussed and the quality factor is tuned to insure application requirements, including narrow bandwidth and high selectivity due to a differential negative resistance that reuses the filter’s current. Using this topology enables independent tuning of the quality factor and low power consumption while compensating the resistive loss of the filter. Very high filter performance was obtained with the

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18

LeBrun, C. "Einstein metrics, four-manifolds, and differential topology." Surveys in Differential Geometry 8, no. 1 (2003): 235–55. http://dx.doi.org/10.4310/sdg.2003.v8.n1.a8.

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19

Donaldson, S. K. "Some problems in differential geometry and topology." Nonlinearity 21, no. 9 (2008): T157—T164. http://dx.doi.org/10.1088/0951-7715/21/9/t02.

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20

Day, Sarah, Robertus C. A. M. Vandervorst, and Thomas Wanner. "Topology in Dynamics, Differential Equations, and Data." Physica D: Nonlinear Phenomena 334 (November 2016): 1–3. http://dx.doi.org/10.1016/j.physd.2016.08.003.

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21

Rota, Gian-Carlo. "Differential forms in algebraic topology. Quantum physics." Advances in Mathematics 56, no. 2 (1985): 192. http://dx.doi.org/10.1016/0001-8708(85)90030-1.

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22

Jonckheere, Edmond A., Ali T. Rezakhani, and Farooq Ahmad. "Differential topology of adiabatically controlled quantum processes." Quantum Information Processing 12, no. 3 (2012): 1515–38. http://dx.doi.org/10.1007/s11128-012-0445-0.

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23

Ishida, Masashi, and Claude LeBrun. "Spin Manifolds, Einstein Metrics, and Differential Topology." Mathematical Research Letters 9, no. 2 (2002): 229–40. http://dx.doi.org/10.4310/mrl.2002.v9.n2.a9.

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24

Sun, Guo, Yiqiao Cai, Tian Wang, Hui Tian, Cheng Wang, and Yonghong Chen. "Differential evolution with individual-dependent topology adaptation." Information Sciences 450 (June 2018): 1–38. http://dx.doi.org/10.1016/j.ins.2018.02.048.

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25

Harrison, J. "Operator Calculus of Differential Chains and Differential Forms." Journal of Geometric Analysis 25, no. 1 (2013): 357–420. http://dx.doi.org/10.1007/s12220-013-9433-6.

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26

Qiu, Haijing, and Yan Wang. "Continuous dependence of recurrent solutions for stochastic differential equations." Electronic Journal of Differential Equations 2020, no. 01-132 (2020): 113. http://dx.doi.org/10.58997/ejde.2020.113.

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Existence, uniqueness and asymptotic stability of recurrent solutions have been investigated extensively for semi-linear stochastic differential equations. In this article, we show that the unique recurrent solution depends continuously on the coefficients of the equation in the compact-open topology or uniform topology, which depends on how the coefficients vary with respect to the parameter. For more information see https://ejde.math.txstate.edu/Volumes/2020/113/abstr.html

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27

Freed, Daniel S. "Book Review: Differential topology and quantum field theory." Bulletin of the American Mathematical Society 28, no. 1 (1993): 153–58. http://dx.doi.org/10.1090/s0273-0979-1993-00340-9.

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28

Chen, Liuyi, and Qianqian Xia. "Some Aspects of Differential Topology of Subcartesian Spaces." Symmetry 16, no. 9 (2024): 1235. http://dx.doi.org/10.3390/sym16091235.

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In this paper, we investigate the differential topological properties of a large class of singular spaces: subcarteisan space. First, a minor further result on the partition of unity for differential spaces is derived. Second, the tubular neighborhood theorem for subcartesian spaces with constant structural dimensions is established. Third, the concept of Morse functions on smooth manifolds is generalized to differential spaces. For subcartesian space with constant structural dimension, a class of examples of Morse functions is provided. With the assumption that the subcartesian space can be e

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29

Peterzil, Ya’acov, and Sergei Starchenko. "Computing o-minimal topological invariants using differential topology." Transactions of the American Mathematical Society 359, no. 3 (2006): 1375–401. http://dx.doi.org/10.1090/s0002-9947-06-04220-6.

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30

Nemirovski, Stefan Yu. "Complex analysis and differential topology on complex surfaces." Russian Mathematical Surveys 54, no. 4 (1999): 729–52. http://dx.doi.org/10.1070/rm1999v054n04abeh000179.

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31

Shifrin, Theodore. "Differential Topology: An Introduction. By David B. Gauld." American Mathematical Monthly 92, no. 4 (1985): 294–99. http://dx.doi.org/10.1080/00029890.1985.11971604.

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32

Chamblin, Andrew. "Some applications of differential topology in general relativity." Journal of Geometry and Physics 13, no. 4 (1994): 357–77. http://dx.doi.org/10.1016/0393-0440(94)90015-9.

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33

Geng, Ruihai, Jiazhao Huang, Peng Liu, and Yushu Bian. "Topology Transformation Analysis on Serial Flexible Variable Topology Mechanism." Journal of Physics: Conference Series 2483, no. 1 (2023): 012059. http://dx.doi.org/10.1088/1742-6596/2483/1/012059.

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Abstract The flexible variable topology mechanism (FVTM) has become a research focus in the field of the mechanism because of its reconfigurable characteristics, which exhibit excellent adaptability in complicated working environments. In the process of topology transformation, the FVTM often generates impact, which leads to vibration and instability of the flexible elements. It seriously affects the accuracy and reliability of the operation. In view of this, this paper takes the serial-FVTM as an example to analyse its impact characteristics during topology transformation. The impact dynamics

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34

Migda, Janusz. "Regional topology and approximative solutions of difference and differential equations." Tatra Mountains Mathematical Publications 63, no. 1 (2015): 183–203. http://dx.doi.org/10.1515/tmmp-2015-0031.

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Abstract We introduce a topology, which we call the regional topology, on the space of all real functions on a given locally compact metric space. Next we obtain new versions of Schauder’s fixed point theorem and Ascoli’s theorem. We use these theorems and the properties of the iterated remainder operator to establish conditions under which there exist solutions, with prescribed asymptotic behaviour, of some difference and differential equations.

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35

Wang, Xinyi. "Investigation of improved Differential Y-source inverter." Journal of Physics: Conference Series 2649, no. 1 (2023): 012052. http://dx.doi.org/10.1088/1742-6596/2649/1/012052.

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Abstract Y-typed networking with three winding-coupled inverter is a brand-new DC-DC and DC-AC inverter. The inverter has a simple topology structure. However, it owns powerful functions. The inverter, with two Y-shaped structures, has not adopted two independent circuits, which are replaced by some new topology parts, such as the switches, adding up to control the current. Obviously, it has now become a single-stage inverter. The improved inverter has also been called DYSI, the Differential Y-source Inverter, for it combines the Differential Boost Inverter with the Y-source Inverter. The impr

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36

Anastasios, Lazopoulos, та Lazopoulos Kostantinos. "On Λ-Fractional fluid mechanics". Annals of Mathematics and Physics 7, № 1 (2024): 107–17. http://dx.doi.org/10.17352/amp.000114.

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Λ-fractional analysis has already been presented as the only fractional analysis conforming with the Differential Topology prerequisites. That is, the Leibniz rule and chain rule do not apply to other fractional derivatives; This, according to Differential Topology, makes the definition of a differential impossible for these derivatives. Therefore, this leaves Λ-fractional analysis the only analysis generating differential geometry necessary to establish the governing laws in physics and mechanics. Hence, it is most necessary to use Λ-fractional derivative and Λ-fractional transformation to de

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37

Bunke, Ulrich, and Thomas Nikolaus. "Twisted differential cohomology." Algebraic & Geometric Topology 19, no. 4 (2019): 1631–710. http://dx.doi.org/10.2140/agt.2019.19.1631.

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38

Shaker, Hani. "Topology and factorization of polynomials." MATHEMATICA SCANDINAVICA 104, no. 1 (2009): 51. http://dx.doi.org/10.7146/math.scand.a-15084.

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For any polynomial $P\in {\mathsf C} [X_1,X_2,\ldots,X_n]$, we describe a $\mathsf C$-vector space $F(P)$ of solutions of a linear system of equations coming from some algebraic partial differential equations such that the dimension of $F(P)$ is the number of irreducible factors of $P$. Moreover, the knowledge of $F(P)$ gives a complete factorization of the polynomial $P$ by taking gcd's. This generalizes previous results by Ruppert and Gao in the case $n=2$.

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39

Ashurov, R. R., and W. N. Everitt. "Linear quasi-differential operators in locally integrable spaces on the real line." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 130, no. 4 (2000): 671–98. http://dx.doi.org/10.1017/s0308210500000366.

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The theory of ordinary linear quasi-differential expressions and operators has been extensively developed in integrable-square Hilbert spaces. There is also an extensive theory of ordinary linear differential expressions and operators in integrable-p Banach spaces.However, the basic definition of linear quasi-differential expressions involves Lebesgue locally integrable spaces on intervals of the real line. Such spaces are not Banach spaces but can be considered as complete locally convex linear topological spaces where the topology is derived from a countable family of semi-norms. The first c

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40

Lazopoulos, Konstantinos A., and Anastasios K. Lazopoulos. "On Fractional Geometry of Curves." Fractal and Fractional 5, no. 4 (2021): 161. http://dx.doi.org/10.3390/fractalfract5040161.

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Fractional Differential Geometry of curves is discussed, with the help of a new fractional derivative, the Λ-fractional derivative, with the corresponding Λ-fractional space. Λ-Fractional derivative completely conforms with the demands of Differential Topology, for the existence of a differential. Therefore Fractional Differential Geometry is established in that Λ-space. The results are pulled back to the initial space.

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41

Tchamov, N. T., T. Niemi, and N. Mikkola. "High-performance differential VCO based on Armstrong oscillator topology." IEEE Journal of Solid-State Circuits 36, no. 1 (2001): 139–41. http://dx.doi.org/10.1109/4.896239.

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42

Edalat, Abbas. "A differential operator and weak topology for Lipschitz maps." Topology and its Applications 157, no. 9 (2010): 1629–50. http://dx.doi.org/10.1016/j.topol.2010.03.003.

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43

Gray, Jeremy. "A history of algebraic and differential topology, 1900–1960." Historia Mathematica 18, no. 4 (1991): 374–77. http://dx.doi.org/10.1016/0315-0860(91)90381-7.

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44

Wu, Chun-Yin, and Ko-Ying Tseng. "Topology optimization of structures using modified binary differential evolution." Structural and Multidisciplinary Optimization 42, no. 6 (2010): 939–53. http://dx.doi.org/10.1007/s00158-010-0523-9.

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45

Chlis, Ilias, Domenico Pepe, and Domenico Zito. "Phase noise analysis in CMOS differential Armstrong oscillator topology." International Journal of Circuit Theory and Applications 44, no. 9 (2016): 1697–705. http://dx.doi.org/10.1002/cta.2187.

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46

Chlis, Ilias, Domenico Pepe та Domenico Zito. "Transformer-coupled π-network differential CMOS oscillator circuit topology". International Journal of Circuit Theory and Applications 45, № 3 (2016): 407–18. http://dx.doi.org/10.1002/cta.2236.

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47

Stampfli, Jan A., Donald G. Olsen, Beat Wellig, and René Hofmann. "A parallelized hybrid genetic algorithm with differential evolution for heat exchanger network retrofit." MethodsX, no. 9 (January 1, 2022): 101711. https://doi.org/10.5281/zenodo.7565121.

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The challenge of heat exchanger network retrofit is often addressed using deterministic algorithms. However, the complexity of the retrofit problems, combined with multi-period operation, makes it very difficult to find any feasible solution. In contrast, stochastic algorithms are more likely to find feasible solutions in complex solution spaces. This work presents a customized evolutionary based optimization algorithm to address this challenge. The algorithm has two levels, whereby, a genetic algorithm optimizes the topology of the heat exchanger network on the top level. Based on the resulti

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48

Xia, Huifu, Yunfei Peng, and Peng Zhang. "Existence and Properties of the Solution of Nonlinear Differential Equations with Impulses at Variable Times." Axioms 13, no. 2 (2024): 126. http://dx.doi.org/10.3390/axioms13020126.

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In this paper, a class of nonlinear ordinary differential equations with impulses at variable times is considered. The existence and uniqueness of the solution are given. At the same time, modifying the classical definitions of continuous dependence and Gâteaux differentiability, some results on the continuous dependence and Gâteaux differentiable of the solution relative to the initial value are also presented in a new topology sense. For the autonomous impulsive system, the periodicity of the solution is given. As an application, the properties of the solution for a type of controlled nonlin

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49

Wang, Chao, Changshuo Yuan, Wenming Sun, and Teng Li. "Tesla Valve Flow Channel Topology Optimization and Heat Transfer Performance Evaluation." Journal of Physics: Conference Series 3004, no. 1 (2025): 012083. https://doi.org/10.1088/1742-6596/3004/1/012083.

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Abstract Owing to the strong demand for heat transfer and flow stability in thermal hydraulics, Tesla valve liquid cold plates have received extensive attention. Unlike the traditional geometry optimization method, we innovatively couple the excellent differential pressure ratio of the Tesla valve and the efficient heat transfer performance of the liquid cold plate (including forward flow heat transfer and backward flow heat transfer) and use the topology method to carry out a topology optimization study with a comprehensive performance flow channel. In the process of single-objective optimiza

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50

Patten, Daniel R. "Domain theoretical differential calculi." Topology and its Applications 256 (April 2019): 183–97. http://dx.doi.org/10.1016/j.topol.2019.02.006.

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