47 research outputs found
Spontaneous emergence of spatial patterns ina a predator-prey model
We present studies for an individual based model of three interacting
populations whose individuals are mobile in a 2D-lattice. We focus on the
pattern formation in the spatial distributions of the populations. Also
relevant is the relationship between pattern formation and features of the
populations' time series. Our model displays travelling waves solutions,
clustering and uniform distributions, all related to the parameters values. We
also observed that the regeneration rate, the parameter associated to the
primary level of trophic chain, the plants, regulated the presence of
predators, as well as the type of spatial configuration.Comment: 17 pages and 15 figure
A Grassmann integral equation
The present study introduces and investigates a new type of equation which is
called Grassmann integral equation in analogy to integral equations studied in
real analysis. A Grassmann integral equation is an equation which involves
Grassmann integrations and which is to be obeyed by an unknown function over a
(finite-dimensional) Grassmann algebra G_m. A particular type of Grassmann
integral equations is explicitly studied for certain low-dimensional Grassmann
algebras. The choice of the equation under investigation is motivated by the
effective action formalism of (lattice) quantum field theory. In a very general
setting, for the Grassmann algebras G_2n, n = 2,3,4, the finite-dimensional
analogues of the generating functionals of the Green functions are worked out
explicitly by solving a coupled system of nonlinear matrix equations. Finally,
by imposing the condition G[{\bar\Psi},{\Psi}] = G_0[{\lambda\bar\Psi},
{\lambda\Psi}] + const., 0<\lambda\in R (\bar\Psi_k, \Psi_k, k=1,...,n, are the
generators of the Grassmann algebra G_2n), between the finite-dimensional
analogues G_0 and G of the (``classical'') action and effective action
functionals, respectively, a special Grassmann integral equation is being
established and solved which also is equivalent to a coupled system of
nonlinear matrix equations. If \lambda \not= 1, solutions to this Grassmann
integral equation exist for n=2 (and consequently, also for any even value of
n, specifically, for n=4) but not for n=3. If \lambda=1, the considered
Grassmann integral equation has always a solution which corresponds to a
Gaussian integral, but remarkably in the case n=4 a further solution is found
which corresponds to a non-Gaussian integral. The investigation sheds light on
the structures to be met for Grassmann algebras G_2n with arbitrarily chosen n.Comment: 58 pages LaTeX (v2: mainly, minor updates and corrections to the
reference section; v3: references [4], [17]-[21], [39], [46], [49]-[54],
[61], [64], [139] added
The process of building European university alliances: a rhizomatic analysis of the European Universities Initiative
Drawing upon French philosophy, this study offers a novel empirical and conceptual understanding of the newly launched European Universities Initiative. In 2019, higher education institutions across the European Union created 17 new alliances as part of the first pilot phase of the initiative. This is an experiment in European and global higher education. This paper offers a conceptual contribution to the field of higher education studies, making use of a rhizomatic analysis to explore how university alliances build what the European Commission refers to as the âEuropean universities of the future.â Based on the conceptual reflection and findings from a small-scale empirical study, this paper concludes that the alliances within the European Universities Initiative rely on pre-existing higher education and research partnerships while at the same time experimenting to foster a diversity of institutional forms to achieve the ambitious goal of creating âEuropean Universities.
Exploratory study on the behaviour of glass/PDCPD composites
© 2015 International Committee on Composite Materials. All rights reserved. The potential of the tough thermoset polydicyclopentadiene (PDCPD) as a matrix for composite materials was explored in this study. A range of properties was compared for a composite with a PDCPD formulation matrix and an equivalent epoxy composite. The PDCPD composite showed higher interlaminar fracture toughness and reduced damage development during tensile loading. Improved fatigue life and higher compressive strength were observed. Impact damage was greatly reduced and substantial improvement in compression after impact strength was noted. Based on the obtained results, the PDCPD formulation used in this work can be considered an interesting alternative for brittle thermosets.status: publishe