In a recent paper, Weems introduced the bistable matching problem, and asked if a polynomial-time algorithm exists to decide the feasibility of the bistable roommates problem. We resolve this question in the affirmative using linear programming. In addition, we show that several (old and new) results for the bistable marriage and roommates problem become transparent using the polyhedral approac...

We examine the influence of dendritic load on the firing dynamics of a spatially extended leaky integrate-and-fire (LIF) neuron that explicitly includes spiking dynamics. We obtain an exact analytical solution for this model and use it to derive a return map that completely captures the dynamics of the system. Using the map, we find that dendritic properties can significantly change the firing ...

The combinatorial effect of an exponential backoff scheme and retransmission cutoff on the stability of frequencyhopping slotted ALOHA systems with finite population is investigated in terms of the catastrophe theory. In the systems, the packet retransmission probabilities are geometrically distributed with respect to the number of experienced unsuccessful transmissions and a packet will be dis...

Since the appearance of a paper by Carleial and Hellman [2] in 1975, it is known that the bistable behavior of the ALOHA system is associated with a bimodal shape of the backlog steady-state disbibution. In this paper, we generalize the problem and ask under what conditions a one-dimensional Markov Chain possesses a multimodal steady-state distribution. We restrict our analysis to wtiformly bou...

The need for better aircraft performance is increasingly prompting designers towards the realisation of morphing or shape-adaptable structural systems. One way to achieve this is to employ multistable composites elements. In this paper a square, curved bistable plate is studied. The finite element analysis provides the load-deflection characteristic of the bistable plate. A cubic expression is ...

Bistable piezoelectric energy harvester (BPEH) can remove mechanical waste, which is expected to realize the self-power supply of wireless sensors. To further improve harvesting efficiency, we designed an improved bistable (IBPEH). The restoring force model composing beam acquired based on fitting experimental data, and nonlinear magnetic obtained by using dipole method. electromechanical coupl...

The properties of a front between two different phases in the presence of a smoothly inhomogeneous external field that takes its critical value at the crossing point is analyzed. Two generic scenarios are studied. In the first, the system admits a bistable solution and the external field governs the rate in which one phase invades the other. The second mechanism corresponds to a second order tr...

Attention, suggestion, context and expectation can all exert top-down influence on bottom-up processes (e.g., stimulus-driven mechanisms). Identifying the functional neuroanatomy that subserves top-down influences on sensory information processing can unlock the neural substrates of how suggestion can modulate behavior. Using functional magnetic resonance imaging (fMRI), we scanned 10 healthy p...

Bistability arises within a wide range of biological systems from the lambda phage switch in bacteria to cellular signal transduction pathways in mammalian cells. Changes in regulatory mechanisms may result in genetic switching in a bistable system. Recently, more and more experimental evidence in the form of bimodal population distributions indicates that noise plays a very important role in t...

A three-terminal bistable twisted nematic liquid crystal display has been demonstrated. This display makes use of a combination of strong in-plane electric fields and vertical electric field for switching between the f and the f1p twist states. The lifetimes of the two bistable twist states are infinite, which is a significant improvement over conventional bistable twisted nematic displays. © 2...