A cooperative game with transferable utility (TU-game) describes a situation in which all players can freely interact with each other, i.e. every coalition of players is able to form and cooperate. However, this is not the case in many real world scenarios. A typical situation is when there exists a restriction on the communication possibilities among players. Different approaches to model the ...

A tissue interaction model for skin organ pattern formation is presented. Possible spatially patterned solutions on rectangular domains are investigated. Linear stability analysis suggests that the model can exhibit pattern formation. A weakly nonlinear two-dimensional perturbation analysis is then carried out. This demonstrates that when bifurcation occurs via a simple eigenvalue, patterns suc...

Previous research has interpreted the patterned relations produced from the spacetime interactions of squash players as a dynamical system. Importantly, the theoretical basis for pattern formation within dynamical systems is predicated upon the shared information exchanges among the parts that comprise them. Thus, the patterned dynamics of a squash rally are the supposed product of shared infor...

In foundational models of network formation, the mechanisms for link formation are based solely on network topology. For example, preferential attachment uses degree distributions, whereas a strategic connections model uses internode distances. These dynamics implicitly presume that such benefits and costs are instantaneous functions of the network topology. A more detailed model would include ...

Most commercial water contains alkaline earth metal cations such as magnesium, calcium and barium, and anions such as carbonate, bicarbonate, sulfate, silicate, oxalate, phosphate, etc. Different combinations of these anions and cations will give rise to potentially scalant systems, such as calcium carbonate, calcium silicate, calcium sulfate, calcium oxalate, barium sulfate, magnesium sulfate,...

Weak coupling theory is applied to a model for firing waves in the procerebral lobe of the slug. Inhibitory synapses and electrical synapses have different synchronizing properties. We show that, in concert, these two types of coupling can cause a bifurcation to a patterned state from synchrony which ultimately develops into traveling waves. Normal forms for the bifurcation are computed, and th...