We introduce a model for the classical synchronised multiple access system with a single transmission channel and a randomised transmission protocol (ALOHA). We assume in addition that there is an energy harvesting mechanism, and any message transmission requires a unit of energy. Units of energy arrive randomly and independently of anything else. We analyse stability and instability conditions...

The application of convolution potential voh.ammetry to questions of metal complexation is described. Theoretical relations are derived to show that the stability constants may be directly related to the shift in the peak potential of the semiderivative wave, provided the complexes are labile. Equations are also given for inert and quasilabile complexes. Stability constants for the PbCI, and Cd...

Contraction theory provides an elegant way of analyzing the behaviors of systems subject to external inputs. Under sometimes easy to check hypotheses, systems can be shown to have the incremental stability property that all trajectories converge to a unique solution. This property is especially interesting when forcing functions are periodic (a globally attracting limit cycle results), as well ...

Time integration schemes with a fixed time step, much smaller than the dominant slow time scales of the dynamics of the system, arise in the context of stiff ordinary differential equations or in multiscale computations, where a microscopic time stepper is used to compute macroscopic behaviour. We discuss a method to accelerate such a time integrator by using extrapolation. This method extends ...

This paper presents an extension of the Motivated Learning model that includes environment masking, and opportunistic behavior of the motivated learning agent. Environment masking improves an agent’s ability to learn by helping to filter out distractions, and the addition of a more complex environment increases the simulation’s realism. If conditions call for it opportunistic behavior allows an...

Beginning with Hermite’s integral representation of the Hurwitz zeta function, we derive explicit expressions in terms of elementary, polygamma, and negapolygamma functions for several families of integrals of the type ∫∞ 0 f(t)K(q, t)dt with kernels K(q, t) equal to ( e2πqt − 1 )−1 , ( e2πqt + 1 )−1 , and (sinh(2πqt))−1.

Because pressure is determined globally for the incompressible Euler equations, a localized change to the initial velocity will have an immediate effect throughout space. For solutions to be physically meaningful, one would expect such effects to decrease with distance from the localized change, giving the solutions a type of stability. Indeed, this is the case for solutions having spatial deca...

We study a competitive supply marketplace where multiple suppliers offer a single nondifferentiated product to multiple buyers. Within this multi-supplier, multi-buyer marketplace, each buyer chooses the supply partner that serves the buyer’s order profile, described by his order size and delivery frequency, with the best price. Suppliers differ from each other in terms of their logistic cost s...

Motivated by a promotion to increase the number of musical downloads, we introduce the concept of C-incentive and show an algorithm that compute the smallest C-incentive containing a subset X ⊆ N. On the other hand, in order to study C-incentives, we see that we can focus on numerical C-incentives. Then, we establish that the set formed by all numerical C-incentives is a Frobenius pseudo-variet...

It has been argued that personality features, such as temperament or traits, possess a certain level of developmental stability (Thomson, Winer & Goodwin, 2011). In this review, attempts are made to explain why temperament may, or may not, remain stable over time by addressing the influence of genetic, environmental and cultural factors on temperament and the interaction between such influences...