Citations Only: Recent submissions

Now showing items 441-460 of 990

    • On the global character of the difference equation x(n+1)=(alpha)+(gamma)xn-(2k+1)+(delta)xn-2|A+xn-2| 

      Grove, Edward; Ladas, Gerry; Predescu, Mihaela; Radin, Michael (Taylor and Francis Ltd, 2003-01-01)
      We investigate the global stability, the periodic character, and the boundedness nature of solutions of the difference equation x(n+1)=(alpha)+(gamma)xn-(2k+1)+(delta)xn-2|A+xn-2|, n=0,1,... where k and l are non-negative ...

    • Complete classification of tournaments having a disjoint union of directed paths as a minimum feedback arc set 

      Isaak, Garth; Narayan, Darren (John Wiley & Sons, Ltd, 2003)
      A feedback arc set of a digraph is a set of arcs whose reversal makes the resulting digraph acyclic. Given a tournament with a disjoint union of directed paths as a feedback arc set, we present necessary and sufficient ...

    • Modeling the role of angiogenesis in epidermal wound healing 

      Maggelakis, Sophia (Aims Press, 2003)
      The effects of angiogenesis on oxygenation of an epidermal wound are described using a mathematical model. Diffusion equations are used to characterize the dependence of the wounded tissue regeneration on oxygen availability, ...

    • Mutual entrainment in delay-coupled non-identical semiconductor lasers 

      Hohl-AbiChedid, Angela; Gavrielides, Athanasios; Erneux, Thomas; Kovanis, Vassilios (The International Society for Optical Engineering (SPIE), 1997-06)
      The dynamics of two mutually coupled but non-identical semiconductor lasers are studied experimentally, numerically and analytically for weak coupling. The lasers have dissimilar relaxation oscillation frequencies ...

    • Investigation of coupled diode laser dynamics using an electronic analog 

      Sukow, David; Kovanis, Vassilios; Gavrielides, Athanasios (The International Society for Optical Engineering (SPIE), 1999-08)
      We study the behavior of coupled semiconductor lasers using a reduced phase model that captures their essential dynamics yet remains analytically tractable. We design a simple electronic circuit analog, a phaselocked loop, ...

    • Synchronization of coupled semiconductor lasers 

      Hohl-AbiChedid, Angela; Erneux, Thomas; Gavrielides, Athanasios; Kovanis, Vassilios (The International Society for Optical Engineering (SPIE), 1998-07)
      The dynamics of two mutually coupled semiconductor lasers is studied experimentally and numerically for weak coupling. The two lasers are pumped at different levels and have dissimilar free-running relaxation oscillation ...

    • Lang and Kobayashi phase equation and its validity for low pump 

      Erneux, Thomas; Alsing, Paul; Kovanis, Vassilios; Gavrielides, Athanasios (The International Society for Optical Engineering (SPIE), 1996-05)
      An asymptotic theory of Lang and Kobayashi (LK) equations describing a semiconductor laser subject to optical feedback is investigated in detail. We obtain a simple third order, nonlinear, delay-differential equation for ...

    • The Most compact subdomain of a continuous probability distribution 

      Farnsworth, David (Blackwell Publishing, 2004-09)
      This article describes the most compact 100c% interval for a probability density for 0 < c < 1. An unbiased, distribution-free estimator when c = 0.5 is presented.

    • A cybernetical strategy for optimal farming: on the growth of Caiman Crocodilus Yacare 

      Engel, Alejandro; Bassanezi, Rodney (Emerald Group Publishing Limited, 1997)
      Presents an optimal strategy for managing crocodile farms. The strategy is illustrated with the case study of Caiman Crocodilus Yacare of the farm Coocrijapan. However, the strategy can be easily transferred to other farms, ...

    • Testing for normality using neural networks 

      Wilson, Paul; Engel, Alejandro (The Institute of Electrical and Electronics Engineers (IEEE), 1990-12-03)
      The most commonly used statistical procedures (t, F, chi-squared, ANOVA, regression) assume that samples have been taken at random from normal populations. In some cases the central limit theorem may provide a satisfactory ...

    • Nonlinear frequency-dependent selection at a single locus with two alleles and two phenotypes 

      Yi, Tao; Cressman, R.; Brooks, Bernard (Springer Berlin / Heidelberg, 1999-10)
      The paper investigates the discrete frequency dynamics of two phenotype diploid models where genotypic fitness is an exponential function of the expected payoff in the matrix game. Phenotypic and genotypic equilibria ...

    • Linear stability conditions for a first-order three-dimensional discrete dynamic 

      Brooks, Bernard (Elsevier Science B.V., Amsterdam, 2004-04)
      Linear stability conditions for a first-order three-dimensional discrete dynamic are derived in terms of the trace, determinant, and sum of principle minors of the Jacobian evaluated at the equilibrium.

    • The coefficients of the characteristic polynomial in terms of the eigenvalues and the elements of an n×n matrix 

      Brooks, Bernard (Elsevier Science B.V., Amsterdam, 2006-06)
      The coefficients of the characteristic polynomial of an n × n matrix are derived in terms of the eigenvalues and in terms of the elements of the matrix. The connection between the two expressions allows the sum of the ...

    • The Brouwer Fixed Point Theorem applied to rumour transmission 

      Basener, William; Ross, David; Brooks, Bernard (Elsevier Science B.V., Amsterdam, 2006-08)
      The results of the Brouwer Fixed Point Theorem are extended to continuous dynamical systems. It is shown that if there exists a compact convex positive invariant set for the dynamical system, then this convex positive ...

    • Periodic prime knots and topologically transitive flows on 3-manifolds 

      Basener, William; Sullivan, Michael (Elsevier Science B.V., Amsterdam, 2006-02-01)
      Suppose that () is a nonsingular (fixed point free) C^1 flow on a smooth closed 3-dimensional manifold M with H2(M) = 0. Suppose that () has a dense orbit. We show that there exists an open dense set N µ M such that any ...

    • Knots and topologically transitive flows on 3-manifolds 

      Basener, William (Elsevier Science B.V., Amsterdam, 2004-05)
      Suppose that () is a nonsingular (fixed point free) flow on a smooth three-dimensional manifold M. Suppose the orbit though a point p ∈M is dense in M. Let D be an imbedded disk in M containing p which is transverse to ...

    • Every nonsingular C1 flow on a closed manifold of dimension greater than two has a global transverse disk 

      Basener, William (Elsevier Science B.V., Amsterdam, 2004-01-01)
      We prove three results about global cross sections which are disks, henceforth called global transverse disks. First we prove that every nonsingular (fixed point free) C^1 flow on a closed (compact, no boundary) connected ...

    • Global cross sections and minimal flows 

      Basener, William (Elsevier Science B.V., Amsterdam, 2002-06-30)
      Let M be a closed n-dimensional manifold with a flow () that has a global cross section Sigma ~= D^(n-1), and let h be the (piecewise continuous) first return map for Sigma. Our primary examples of such flows are minimal ...

    • Averaged equations for injection locked semiconductor lasers 

      Nizette, Michel; Erneux, Thomas; Gavrielides, Athanasios; Kovanis, Vassilios (Elsevier Science B.V., 2002-01-15)
      An averaging method valid for strongly nonlinear oscillators is used for the first time to describe the pulsating intensity regimes of semiconductor lasers subject to injection. Slow-time equations are derived which are ...