Relevant bibliographies by topics / Connecting Lemma

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Connecting Lemma'

Author: Grafiati
Published: 4 June 2021
Last updated: 8 February 2022

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Journal articles on the topic "Connecting Lemma"

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Pugh, Charles C. "The C1 Connecting Lemma." Journal of Dynamics and Differential Equations 4, no. 4 (1992): 545–53. http://dx.doi.org/10.1007/bf01048259.

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BAUTISTA, S., and C. MORALES. "A sectional-Anosov connecting lemma." Ergodic Theory and Dynamical Systems 30, no. 2 (2009): 339–59. http://dx.doi.org/10.1017/s0143385709000157.

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AbstractThe Anosov flows on compact manifolds M satisfy the following property: if p,q are points such that for all positive ϵ there is a trajectory from a point ϵ-close to p to a point ϵ-close to q, then there is a point whose α-limit set is that of p and whose ω-limit set is that of q. Here we give a version of this property for sectional-Anosov flows, namely, vector fields inwardly transverse to the boundary whose maximal invariant set is sectional-hyperbolic. Indeed, if in addition M is three-dimensional and p has non-singular α-limit set, then there is a point whose α-limit set is that of
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Wen, Lan. "A uniform $C^1$ connecting lemma." Discrete & Continuous Dynamical Systems - A 8, no. 1 (2002): 257–65. http://dx.doi.org/10.3934/dcds.2002.8.257.

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Hayashi, Shuhei. "Applications of Mañé’s $C^2$ connecting lemma." Proceedings of the American Mathematical Society 138, no. 04 (2010): 1371. http://dx.doi.org/10.1090/s0002-9939-09-10148-x.

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Martín, José Carlos, and Leonardo Mora. "A complement to the connecting lemma of Hayashi." Nonlinearity 18, no. 4 (2005): 1643–54. http://dx.doi.org/10.1088/0951-7715/18/4/012.

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Gautschi, Ralf, Joel W. Robbin, and Dietmar A. Salamon. "Heegaard splittings and Morse-Smale flows." International Journal of Mathematics and Mathematical Sciences 2003, no. 56 (2003): 3539–72. http://dx.doi.org/10.1155/s0161171203210115.

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We describe three theorems which summarize what survives in three dimensions of Smale's proof of the higher-dimensional Poincaré conjecture. The proofs require Smale's cancellation lemma and a lemma asserting the existence of a2-gon. Such2-gons are the analogues in dimension two of Whitney disks in higher dimensions. They are also embedded lunes; an (immersed) lune is an index-one connecting orbit in the Lagrangian Floer homology determined by two embedded loops in a2-manifold.
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RIVERA-LETELIER, JUAN. "A connecting lemma for rational maps satisfying a no-growth condition." Ergodic Theory and Dynamical Systems 27, no. 02 (2007): 595. http://dx.doi.org/10.1017/s0143385706000629.

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Park, Jang-Hyun, Tae-Sik Park, and Seong-Hwan Kim. "Asymptotically Convergent Higher-Order Switching Differentiator." Mathematics 8, no. 2 (2020): 185. http://dx.doi.org/10.3390/math8020185.

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A novel switching-differentiator (SD) that can asymptotically track the time derivative of time-varying signal was previously proposed. This paper extends the previous SD to estimation of higher-order time derivatives. This study shows that higher-order time-derivatives can be estimated by connecting multiple SDs in cascade form. By successive applying the generalized Barbalat’s lemma, all higher-order tracking errors also approach zeros asymptotically. To illustrate the performance of the proposed higher-order switching differentiator, simulations were performed for estimating higher-order ti
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Arnaud, M. C. "Boundaries of instability zones for symplectic twist maps." Journal of the Institute of Mathematics of Jussieu 13, no. 1 (2013): 19–41. http://dx.doi.org/10.1017/s1474748013000029.

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AbstractVery few things are known about the curves that are at the boundary of the instability zones of symplectic twist maps. It is known that in general they have an irrational rotation number and that they cannot be KAM curves. We address the following questions. Can they be very smooth? Can they be non-${C}^{1} $?Can they have a Diophantine or a Liouville rotation number? We give a partial answer for${C}^{1} $and${C}^{2} $twist maps.In Theorem 1, we construct a${C}^{2} $symplectic twist map$f$of the annulus that has an essential invariant curve$\Gamma $such that$\bullet $ $\Gamma $is not d
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Cui, Qing, Li Deng, and Xu Zhang. "Second order optimality conditions for optimal control problems on Riemannian manifolds." ESAIM: Control, Optimisation and Calculus of Variations 25 (2019): 35. http://dx.doi.org/10.1051/cocv/2018028.

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This work is concerned with optimal control problems on Riemannian manifolds, for which two typical cases are considered. The first case is when the endpoint is free. For this case, the control set is assumed to be a separable metric space. By introducing suitable dual equations, which depend on the curvature tensor of the manifold, we establish the second order necessary and sufficient optimality conditions of integral form. Particularly, when the control set is a Polish space, the second order necessary condition is reduced to a pointwise form. As a key preliminary result and also an interes
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Dissertations / Theses on the topic "Connecting Lemma"

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Pires, Benito Frazão. "Estabilidade assintótica e estrutural de campos vetoriais." Universidade de São Paulo, 2006. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-02022007-093739/.

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O objetivo deste trabalho é provar um Closing Lema Parcial para variedades bidimensionais compactas, orientáveis ou não--orientáveis. Para enunciá--lo, considere um campo vetorial \\linebreak $X\\in\\mathfrak^r(M)$, $r\\ge 2$, de classe $C^r$ em uma variedade bidimensional compacta $M$, e seja $\\Sigma$ um segmento transversal a $X$ passando por um ponto recorrente não--trivial $p$ de $X$. Seja $P:\\Sigma\\to\\Sigma$ a correspondente transformação de primeiro retorno. O primeiro resultado deste trabalho consiste em mostrar que se $P$ tem a propriedade de que para todo $n\\ge N$ e $x\\in{m dom}
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Girard, Marie. "Sur les courbes invariantes par un difféomorphisme C1-générique symplectique d’une surface." Thesis, Avignon, 2009. http://www.theses.fr/2009AVIG0406/document.

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Au début du XXème siècle, Poincaré puis Birkhoff ont été amenés, lors de leur recherche sur le problème restreint des trois corps, à étudier les courbes invariantes par une transformation d’une surface préservant l’aire. Cinquante ans plus tard, les théorèmes KAM démontrent la persistance de courbes invariantes après perturbation en topologie de classe k plus grande ou égale à trois. On peut alors se demander ce que devient ce résultat en topologie de classe moins élevée. Par ailleurs, l’étude des dynamiques C1-génériques connaît de nombreux développements, grâce notamment au Connecting Lemma.
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Girard, Marie Anne. "Sur les courbes invariantes par un difféomorphisme C1-générique symplectique d'une surface." Phd thesis, Université d'Avignon, 2009. http://tel.archives-ouvertes.fr/tel-00461234.

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Au début du XXème siècle, Poincaré puis Birkhoff ont été amenés, lors de leur recherche sur le problème restreint des trois corps, à étudier les courbes invariantes par une transformation d'une surface préservant l'aire. Cinquante ans plus tard, les théorèmes KAM démontrent la persistance de courbes invariantes après perturbation en topologie de classe k plus grande ou égale à trois. On peut alors se demander ce que devient ce résultat en topologie de classe moins élevée. Par ailleurs, l'étude des dynamiques C1-génériques connaît de nombreux développements, grâce notamment au Connecting Lemma.
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Books on the topic "Connecting Lemma"

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Fuchs, Marc. Relevancy Based Use of Lemmas in Connection Tableau Calculi. Ios Pr Inc, 2000.

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Farb, Benson, and Dan Margalit. The Nielsen-Thurston Classification. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691147949.003.0014.

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This chapter explains and proves the Nielsen–Thurston classification of elements of Mod(S), one of the central theorems in the study of mapping class groups. It first considers the classification of elements for the torus of Mod(T² before discussing higher-genus analogues for each of the three types of elements of Mod(T². It then states the Nielsen–Thurston classification theorem in various forms, as well as a connection to 3-manifold theory, along with Thurston's geometric classification of mapping torus. The rest of the chapter is devoted to Bers' proof of the Nielsen–Thurston classification
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Book chapters on the topic "Connecting Lemma"

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Aczél, János, and Che Tat Ng. "A lemma on the angles between a fixed line and the lines connecting a fixed point on it with the points of a convex arc." In International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique. Birkhäuser Basel, 1992. http://dx.doi.org/10.1007/978-3-0348-7565-3_40.

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Cimatti, Alessandro, Alberto Griggio, and Gianluca Redondi. "Universal Invariant Checking of Parametric Systems with Quantifier-free SMT Reasoning." In Automated Deduction – CADE 28. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-79876-5_8.

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AbstractThe problem of invariant checking in parametric systems – which are required to operate correctly regardless of the number and connections of their components – is gaining increasing importance in various sectors, such as communication protocols and control software. Such systems are typically modeled using quantified formulae, describing the behaviour of an unbounded number of (identical) components, and their automatic verification often relies on the use of decidable fragments of first-order logic in order to effectively deal with the challenges of quantified reasoning.In this paper, we propose a fully automatic technique for invariant checking of parametric systems which does not rely on quantified reasoning. Parametric systems are modeled with array-based transition systems, and our method iteratively constructs a quantifier-free abstraction by analyzing, with SMT-based invariant checking algorithms for non-parametric systems, increasingly-larger finite instances of the parametric system. Depending on the verification result in the concrete instance, the abstraction is automatically refined by leveraging canditate lemmas from inductive invariants, or by discarding previously computed lemmas.We implemented the method using a quantifier-free SMT-based IC3 as underlying verification engine. Our experimental evaluation demonstrates that the approach is competitive with the state of the art, solving several benchmarks that are out of reach for other tools.
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Molnar, David. "Connection Games and Sperner’s Lemma." In The Mathematics of Various Entertaining Subjects. Princeton University Press, 2015. http://dx.doi.org/10.23943/princeton/9780691164038.003.0015.

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This chapter provides an introduction to connection games in general. It also recounts how Sperner's Lemma, a result about labeling a triangulation of a simplex, can be used to prove that someone must win at Hex—the best-known connection game—as well as The Game of Y®, (or simply, Y) another well-known connection game. Moreover, the chapter proves a generalization of Sperner's Lemma and uses it to show that there is always a winner in the many variations of Atoll and Begird, two connection games which can be played on a variety of boards and include Hex and Y, respectively, as special cases. These “must-win” results have significant strategic implications—if one prevents the opponent from making the desired connection, one would be able to make this connection by necessity.
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"15. Connection Games and Sperner’s Lemma." In The Mathematics of Various Entertaining Subjects. Princeton University Press, 2016. http://dx.doi.org/10.1515/9781400881338-017.

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Muscalu, Camil, Terence Tao, and Christoph Thiele. "Multi-Linear Multipliers Associated to Simplexes of Arbitrary Length." In Advances in Analysis, edited by Charles Fefferman, Alexandru D. Ionescu, D. H. Phong, and Stephen Wainger. Princeton University Press, 2014. http://dx.doi.org/10.23943/princeton/9780691159416.003.0014.

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This chapter introduces two sets of theorems based on a study of the Littlewood–Paley boundedness properties of a tri-linear operator. It generalizes and proves similar estimates for multi-linear multipliers whose symbols are given by characteristic functions of simplexes of arbitrary length. The chapter introduces the so-called AKNS systems, which play an important role in nuclear physics, and describes their connection with certain operators. Then, the rest of the chapter is devoted to the proof of a third theorem, which has been derived from the first two. To conclude, the chapter also proves the “delicate Bessel” Lemma which plays an important role in the argument.
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Conference papers on the topic "Connecting Lemma"

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Lumentut, Mikail F., and Ian M. Howard. "An Analytical Method for Vibration Modelling of a Piezoelectric Bimorph Beam for Power Harvesting." In ASME 2009 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. ASMEDC, 2009. http://dx.doi.org/10.1115/smasis2009-1398.

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This paper presents the development of a mathematical method for modelling a piezoelectric bimorph beam under two input base-transversal and longitudinal excitations. The piezoelectric bimorph beam model was based on the Euler-Bernoulli beam coupled with polarity-electric field for low power harvesting. The piezoelectric bimorph beam with brass centre shim was also coupled to a simple electrical circuit of resistor component. The existence of input base-longitudinal motion can affect the overall strain, polarity and electric field of the cantilevered piezoelectric bimorph, identified to have p
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