10,166 research outputs found
Versal unfoldings for linear retarded functional differential equations
We consider parametrized families of linear retarded functional differential
equations (RFDEs) projected onto finite-dimensional invariant manifolds, and
address the question of versality of the resulting parametrized family of
linear ordinary differential equations. A sufficient criterion for versality is
given in terms of readily computable quantities. In the case where the
unfolding is not versal, we show how to construct a perturbation of the
original linear RFDE (in terms of delay differential operators) whose
finite-dimensional projection generates a versal unfolding. We illustrate the
theory with several examples, and comment on the applicability of these results
to bifurcation analyses of nonlinear RFDEs
Keller--Osserman conditions for diffusion-type operators on Riemannian Manifolds
In this paper we obtain generalized Keller-Osserman conditions for wide
classes of differential inequalities on weighted Riemannian manifolds of the
form and , where is a non-linear diffusion-type operator.
Prototypical examples of these operators are the -Laplacian and the mean
curvature operator. While we concentrate on non-existence results, in many
instances the conditions we describe are in fact necessary for non-existence.
The geometry of the underlying manifold does not affect the form of the
Keller-Osserman conditions, but is reflected, via bounds for the modified
Bakry-Emery Ricci curvature, by growth conditions for the functions and
. We also describe a weak maximum principle related to inequalities of
the above form which extends and improves previous results valid for the
\vp-Laplacian
Short article: When are moving images remembered better? Study–test congruence and the dynamic superiority effect
It has previously been shown that moving images are remembered better than static ones. In two experiments, we investigated the basis for this dynamic superiority effect. Participants studied scenes presented as a single static image, a sequence of still images, or a moving video clip, and 3 days later completed a recognition test in which familiar and novel scenes were presented in all three formats. We found a marked congruency effect: For a given study format, accuracy was highest when test items were shown in the same format. Neither the dynamic superiority effect nor the study–test congruency effect was affected by encoding (Experiment 1) or retrieval (Experiment 2) manipulations, suggesting that these effects are relatively impervious to strategic control. The results demonstrate that the spatio-temporal properties of complex, realistic scenes are preserved in long-term memory. </jats:p
Strategic maritime container transport design in oligopolistic markets
AbstractThis paper considers the maritime container assignment problem in a market setting with two competing firms. Given a series of known, exogenous demands for service between pairs of ports, each company is free to design a liner service network serving a subset of the ports and demand, subject to the size of their fleets and the potential for profit. The model is designed as a three-stage complete information game: in the first stage, the firms simultaneously invest in their fleet; in the second stage, they individually design their networks and solve the route assignment problem with respect to the transport demand they expect to serve, given the fleet determined in the first stage; in the final stage, the firms compete in terms of freight rates on each origin-destination movement. The game is solved by backward induction. Numerical solutions are provided to characterize the equilibria of the game
Una metáfora esencial de Unamuno ("Como el crecer de las encinas")
Si Unamuno fue fundamentalmente un escritor, es decir, un creador a partir de la palabra, parece natural que sea a través de la palabra por donde pueda venirnos la posibilidad de su mejor entendimiento. Buscar a Unamuno a través de sus ideas es más complicado y más peligroso que buscarlo en sus palabras, sobre todo si se piensa que le interesaban más las palabras que las ideas, lo que explicarÃa su desconfianza de las ideas y su devoción por las palabras.If Unamuno was essentially a writer, that is, a creator of the word, it seems natural that were through the word where can come to us the possibility of better understanding. Search Unamuno through his ideas is more complicated and more dangerous that look into his words, especially if you think that is more interested in the words than ideas, which would explain his distrust of ideas and his devotion to the words
Scalar-tensor analysis of an exponential Lagrangian for the Gravitational Field
Within the scheme of modified gravity, an exponential Lagrangian density will
be considered, and the corresponding scalar-tensor description will be
addressed for both positive and negative values of the cosmological constant.
For negative values of the cosmological term, the potential of the scalar field
exhibits a minimum, around which scalar-field equations can be linearized. The
study of the deSitter regime shows that a comparison with the modified-gravity
description is possible in an off-shell region, i.e., in a region where the
classical equivalence between the two formulations is not fulfilled.
Furthermore, despite the negative cosmological constant, an accelerating
deSitter phase is predicted in the region where the series expansion of the
exponential term does not hold. For positive values of the cosmological
constant, the quantum regime is analyzed within the framework of Loop Quantum
Cosmology.Comment: 8 pages, 2 figures, to appear in the proceedings of'' 4th
Italian-Sino Workshop on Relativistic Astrophysics'', AIP Conference Serie
Barrow holographic dark energy in the Brans-Dicke cosmology
We construct a holographic model for dark energy in the Brans-Dicke cosmology
by using the holographic principle considering the Barrow entropy instead of
the standard Bekenstein-Hawking one. The former arises from the effort to
account for quantum-gravitational effects in black-hole physics and, according
to the gravity-thermodynamic conjecture, in the cosmological framework. In
order to explore the cosmological consequences of our model, we consider the
Hubble horizon as the IR cutoff. We investigate both the non-interacting and
interacting cases with the sign-changeable and linear interactions, showing
that they can explain the present accelerated phase of the Universe expansion,
in contrast to the standard Holographic Dark Energy model. We then perform the
classical stability analysis using the squared sound speed. We find that,
whilst the non-interacting model is unstable against the small perturbations,
the sign-changeable interacting one can be stable only for suitable values of
the model parameters. On the other hand, the linear interacting model always
predicts a stable Universe. The consistency of our model with cosmological
observations is discussed.Comment: 9 pages, 15 figure
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