2,601 research outputs found
Bounds On The Ogasa Number For Ordered Continuations Of Lyapunov Graphs
No full textWe present ordered continuations of an abstract Lyapunov semi-graph L and define the Ogasa number for ordered continuations of L. New proofs of results on the minimal number of singularities in a Lyapunov graph continuation in [3] and of the handle type decomposition theorem in [1] are provided. Using these results, we obtain lower and upper bounds for the Ogasa number for all possible ordered continuations of L. © 2013 Pushpa Publishing House.1314191Bertolim, M.A., de Rezende, K.A., Manzoli Neto, O., Vago, G.M., Isolating blocks for Morse flows (2006) Geom. Dedicata, 121, pp. 19-41Bertolim, M.A., de Rezende, K.A., Manzoli Neto, O., Vago, G.M., On the variations of the Betti numbers of regular levels of Morse flows (2011) Topology Appl, 158 (6), pp. 761-774Bertolim, M.A., de Rezende, K.A., Vago, G.M., Minimal Morse flows on compact manifolds (2006) Topology Appl, 153 (18), pp. 3450-3466Bertolim, M.A., Mello, M.P., de Rezende, K.A., Lyapunov graph continuation (2003) Ergodic Theory Dynam. Systems, 23 (1), pp. 1-58Bertolim, M.A., Mello, M.P., de Rezende, K.A., Poincaré-Hopf and Morse inequalities for Lyapunov graphs (2005) Ergodic Theory Dynam. Systems, 25 (1), pp. 1-39Bertolim, M.A., Mello, M.P., de Rezende, K.A., Poincaré-Hopf inequalities (2005) Trans. Amer. Math. Soc, 357 (10), pp. 4091-4129. , (in electronic)Conley, C., Isolated invariant sets and the Morse index, Vol. 38 of CBMS Regional Conference Series in Mathematics (1978) American Mathematical Society, , Providence, R. ICruz, R.N., de Rezende, K.A., Gradient-like flows on high-dimensional manifolds (1999) Ergodic Theory Dynam. Systems, 19 (2), pp. 339-362da Cruz, R.N., Mello, M.P., de Rezende, K.A., Realizability of the Morse polytope (2005) Qual. Theory Dyn. Syst, 6 (1), pp. 59-86de Rezende, K.A., Franzosa, R.D., Lyapunov graphs and flows on surfaces (1993) Trans. Amer. Math. Soc, 340 (2), pp. 767-784de Rezende, K., Smale flows on the three-sphere (1987) Trans. Amer. Math. Soc, 303 (1), pp. 283-310Ford, L.R., Fulkerson, D.R., (1962) Flow in Networks, , Princeton University Press, Princeton, NJFranks, J., Nonsingular Smale flows on S3 (1985) Topology, 24 (3), pp. 265-282Johnson, J., Notes on Heegaard Splittings, , http://www.math.okstate.edu/jjohnson/notes.pdfOgasa, E., (2011) A new invariant associated with decompositions of manifolds, , http://arxiv.org/pdf/math/0512320v3.pdf, Available inReineck, J.F., Continuation to the minimal number of critical points in gradient flows (1948) Duke Math. J, 68 (1), pp. 185-19
Dynamical And Topological Aspects Of Lyapunov Graphs
No full textIn this survey we present the interplay between topological dynamical systems theory with network flow theory in order to obtain a continuation result for abstract Lyapunov graphs L(h0,..., hn, κ) in dimension n with cycle number κ. We also show that an abstract Lyapunov graph satisfies the Poincaŕe-Hopf inequalities if and only if it satisfies the Morse inequalities and the first Betti number γ1 is greater than or equal to κ. We define the Morse polytope determined by the Morse inequalities and describe some of its geometrical properties.42181203Bertolim, M.A., Mello, M.P., de Rezende, K.A., Lyapunov graph continuation (2003) Ergodic Theory and Dynamical Systems, 23, pp. 1-58Bertolim, M.A., Mello, M.P., de Rezende, K.A., Poincaŕe-Hopf Inequalities Amer. Math. Soc, , to appear in TransBertolim, M.A., Mello, M.P., de Rezende, K.A., Poincaŕe-Hopf and Morse inequalities for Lyapunov graphs Ergodic Theory and Dynamical SystemsConley, C., (1978) Isolated Invariant Sets and The Morse Index, 38. , CBMS Regional Conference Series in Mathematics, American Mathematical Society, Providence, R.ICornea, O., The genus and the fundamental group of high-dimensional manifolds (1989) Stud. Cerc. Mat, 41, pp. 169-178Cruz, R.N., de Rezende, K.A., Gradient-like flows on high-dimensional manifolds (1999) Ergodic Theory and Dynamical Systems, 19, pp. 339-362Cruz, R.N., de Rezende, K.A., Cycle rank of Lyapunov graphs and the genera of manifolds (1998) Proceedings of the American Mathematical Society, 126, pp. 3715-3720de Rezende, K.A., Smale flows on the three-sphere (1987) Trans. Amer. Math. Soc, 303, pp. 283-310Franks, J., Nonsingular Smale flows on S3 (1985) Topology, 24, pp. 265-282McCord, C., Poincaŕe-Lefschetz duality for the homology Conley index (1992) Trans. Amer. Math. Soc, 329, pp. 233-252Reineck, J.F., Continuation to Gradient Flows (1991) Duke Mathematical Journal, 64, pp. 261-269Rockafellar, R.T., The Elementary Vectors of a Subspace of Rn (1969) Combinatorial Mathematics and Its Applications, pp. 104-127. , R. C. Bose and T. A. Dowling, Editors University of North Carolina Pres
Realizability Of The Morse Polytope
No full textIn this article we will show that, in general, for each integral point (γ0,..., γn) in the Morse polytope, Pκ(h0,..., hn), one can associate an abstract Lyapunov graph L(h0,..., hn, κ) with ntd-labelling and realize a corresponding flow on Mn, where the Betti numbers of Mn satisfy βj (Mn) = βn-j(Mn) = γj, for all 0 < j ≤ ⌊n/2⌋.615986Baez, J.C., The Octonions (2002) Bull. Amer. Math. Soc, 39, pp. 145-205Bertolim, M.A., Mello, M.P., de Rezende, K.A., Lyapunov graph continuation (2003) Ergodic Theory and Dynamical Systems, 23, pp. 1-58Bertolim, M.A., Mello, M.P., de Rezende, K.A., Poincaré-Hopf inequalities (2005) Trans. Amer. Math. Soc, 357 (10), pp. 4091-4129Bertolim, M.A., Mello, M.P., de Rezende, K.A., Poincaré-Hopf and Morse inequalities for Lyapunov graphs (2005) Ergodic Theory and Dynamical Systems, 25, pp. 1-39Bertolim, M.A., Manzoli Neto, O., de Rezende, K.A., Vago, G.M., Isolating Blocks for Morse flows, , http://www.ime.unicamp.br/relpesq/, Submitted. Available inConley, C., Isolated invariant sets and the Morse index (1978) CBMS Regional Conference Series in Mathematics, 38. , American Mathematical Society, Providence, R. ICornea, O., The genus and the fundamental group of high-dimensional manifolds (1989) Stud. Cerc. Mat, 41 (3), pp. 169-178Cruz, R.N., Mello, M.P., de Rezende, K.A., Canonical Lyapunov graphs and the Morse Polytope, , http://www.ime.unicamp.br/relpesq/, Technical Report 09/06 IMECC-Unicamp. Available inCruz, R.N., de Rezende, K.A., Gradient-like flows on high-dimensional manifolds (1999) Ergodic Theory Dynam. Systems, 19 (2), pp. 339-362Cruz, R.N., de Rezende, K.A., Cycle rank of Lyapunov graphs and the genera of manifolds (1998) Proceedings of the American Mathematical Society, 126 (12), pp. 3715-3720de Rezende, K.A., Smale flows on the three-sphere (1987) Transactions of the American Mathematical Society, 303 (1), pp. 283-310de Rezende, K.A., Gradient-like flows on 3-manifolds (1993) Ergodic Theory Dynam. Systems, 13 (3), pp. 557-580de Rezende, K.A., Franzosa, R.D., Lyapunov graphs and flows on surfaces (1993) Trans. Amer. Math. Soc, 340 (2), pp. 767-784Franks, J., Nonsingular Smale flows on S3 (1985) Topology, 24 (3), pp. 265-282McCord, C., Poincaré-Lefschetz duality for the homology Conley index (1992) Trans. Amer. Math. Soc, 329 (1), pp. 233-252Reineck, J.F., Continuation to Gradient Flows (1991) Duke Mathematical Journal, 64 (2), pp. 261-269Steenrod, N., (1965) Topology of Fiber Bundles, , Princeton Univ. Pres
Poincaré-hopf Inequalities
No full textIn this article the main theorem establishes the necessity and sufficiency of the Poincaré-Hopf inequalities in order for the Morse inequalities to hold. The convex hull of the collection of all Betti number vectors which satisfy the Morse inequalities for a pre-assigned index data determines a Morse polytope defined on the nonnegative orthant. Using results from network flow theory, a scheme is provided for constructing all possible Betti number vectors which satisfy the Morse inequalities for a pre-assigned index data. Geometrical properties of this polytope are described. ©2004 American Mathematical Society.3571040914129Bertolim, M.A., Mello, M.P., De Rezende, K.A., Lyapunov graph continuation (2003) Ergod. Th. & Dynam. Sys., 23, pp. 1-58. , MR2004b:37042Bertolim, M.A., Mello, M.P., De Rezende, K.A., Poincaré-Hopf and Morse inequalities for Lyapunov graphs Ergod. Th. & Dynam. Sys., , To appear inConley, C., Isolated invariant sets and the Morse index (1978) CBMS Regional Conference Series in Mathematics, 38. , American Mathematical Society, Providence, RI, MR80c:58009Cruz, R.N., De Rezende, K.A., Gradient-like flows on high-dimensional manifolds (1999) Ergod. Th. & Dynam. Sys., 19 (2), pp. 339-362. , MR2001a:37026Fulkerson, D.R., Gross, O.A., Incidence matrices and interval graphs (1965) Pacific Journal of Mathematics, 15, pp. 835-855. , MR32:3881Hoffman, A.J., Kruskal, J.B., Integral boundary points of convex polyhedra (1956) Annals of Mathematics Studies, (38), pp. 223-246. , Linear Inequalities and Related Systems (H. W. Kuhn and A. W. Tucker, eds.), Princeton University Press, Princeton, NJ. MR18:980bMorse, M., Relations between the critical points of a real functions of n independent variables (1925) Trans. Am. Math. Soc., 27, pp. 345-39
Detergency in Liquid CO2
No full textIn this dissertation we study Detergency in liquid Carbon Dioxide. Detergency is the cleaning performance of additives, surfactants in particular, in washing fluids. Liquid CO2 is under consideration, for environmental and toxicological reasons, to replace perchloro-ethylene as the solvent in textile dry cleaning technology. Inherent problems of such a transition were confronted with the methodology of chemical engineering design. The Basic Cycle of Design (BCD) approach was used as a pathway for designing a detergent. The BCD also establishes the structural framework of the thesis, which can, therefore, be read as records from a successful product engineering project, in which an effective detergent has been designed for a new dry cleaning solvent. The Dynamic Detergency Model (DDM), which succeeds to explain the role of surfactants in the washing operation, is used as a rational starting point for the design of a detergent in liquid CO2. According to this model, such a surfactant must be: sparingly soluble in the solvent, surface-active and able to form micelles in the solution. The different experiments carried out (solubility, interfacial-tension and dye solubilisation measurements), show that a number of molecules of the homologous polyoxyethylene/alkane series, generally described by the shorthand formula CiEj did indeed behave as surfactants and can be then considered detergents for liquid CO2. In the technical evaluation of the detergents, at laboratory as well as at semi-pilot scale, high washing performances were obtained. They are, indeed, as good for dry cleaning textiles as the present perchloro-ethylene (Perc) technology.Applied Science
Poincaré-hopf And Morse Inequalities For Lyapunov Graphs
No full textLyapunov graphs carry dynamical information of gradient-like flows as well as topological information of their phase space which is taken to be a closed orientable n-manifold. In this paper we will show that an abstract Lyapunov graph L(h0,..., hn, κ) in dimension n greater than 2, with cycle number κ, satisfies the Poincaré-Hopf inequalities if and only if it satisfies the Morse inequalities and the first Betti number, γ1, is greater than or equal to κ. We also show a continuation theorem for abstract Lyapunov graphs with the presence of cycles. Finally, a family of Lyapunov graphs ℒ(h0,..., hn, κ) with fixed pre-assigned data (h0,..., hn, κ) is associated with the Morse polytope, Pκ (h0,..., hn), determined by the Morse inequalities for the given data.251139Bertolim, M.A., Mello, M.P., De Rezende, K.A., Lyapunov graph continuation (2003) Ergod. Th. & Dynam. Sys., 23, pp. 1-58Bertolim, M.A., Mello, M.P., De Rezende, K.A., Poincaré-Hopf Inequalities Trans. Amer. Math. Soc., , to appearConley, C., (1978) Isolated Invariant Sets and the Morse Index (CBMS Regional Conference Series in Mathematics), 38. , American Mathematical Society, Providence, RICornea, O., The genus and the fundamental group of high-dimensional manifolds (1989) Stud. Cerc. Mat., 41 (3), pp. 169-178Cruz, R.N., De Rezende, K.A., Gradient-like flows on high-dimensional manifolds (1999) Ergod. Th. & Dynam. Sys., 19 (2), pp. 339-362Cruz, R.N., De Rezende, K.A., Cycle rank of Lyapunov graphs and the genera of manifolds (1998) Proc. Amer. Math. Soc., 126 (12), pp. 3715-3720De Rezende, K.A., Smale flows on the three-sphere (1987) Trans. Amer. Math. Soc., 303 (1), pp. 283-310De Rezende, K.A., Gradient-like flows on 3-manifolds (1993) Ergod. Th. & Dynam. Sys., 13 (3), pp. 557-580De Rezende, K.A., Franzosa, R.D., Lyapunov graphs and flows on surfaces (1993) Trans. Amer. Math. Soc., 340 (2), pp. 767-784Franks, J., Nonsingular Smale flows on S3 (1985) Topology, 24 (3), pp. 265-282McCord, C., Poincaré-Lefschetz duality for the homology Conley index (1992) Trans. Amer. Math. Soc., 329 (1), pp. 233-252Reineck, J.F., Continuation to gradient flows (1991) Duke Math. J., 64 (2), pp. 261-269Rockafellar, R.T., The elementary vectors of a subspace of ℝn (1969) Combinatorial Mathematics and Its Applications, pp. 104-127. , Eds. R. C. Bose and T. A. Dowling. University of North Carolina Press, Chapel Hill, N
'Her Irish Heritage' : Annie M.P Smithson and autobiography
No full textThis paper examines some aspects of the work of Annie M.P. Smithson, the author of 21 romance novels between 1917 and 1946. Her attitudes towards women, religion and politics are explored, and the importance of autobiography in her fiction discussed.Cet article analyse divers aspects de l'oeuvre d'Annie M.P. Smithson, l'auteur de vingt et un romans 'romanesques' publiés entre 1917 et 1946. Il étudie son attitude concernant les femmes, la religion, la politique, ainsi que le rôle de l'autobiographie dans sa fiction.Walsh Oonagh. 'Her Irish Heritage' : Annie M.P Smithson and autobiography. In: Études irlandaises, n°23-1, 1998. pp. 27-42
Il ruolo della linguistica in un'iniziativa di internazionalizzazione
No full textThe author deals with the role of linguistic sciences and language teaching in the internationalization project of an e-learning Specialization Course
The influence of steady blowing and roughness on transitional separated boundary layers
No full textThis paper presents the results of a study between two types of forcing, namely steady blowing and a tripwire, on the control of laminar separated boundary layers. The analysis focuses on the differences in the transition process between these two types of forcing. This effect will be studied using direct numerical simulation. The main differences consists in the coherent structures formed during transition and the overall kinetic energy growth
Gusmani grecista
No full textThe author deals with the Roberto Gusmani's works about Ancient Greek language
- …
