64 citations · 122 across the 8 of their papers we have counts for
10 papers
The rocking can: a reduced equation of motion and a matched asymptotic solution
B. W. Collins, C. L. Hall, S. J. Hogan
The rocking can problem consists of a empty drinks can standing upright on a horizontal plane which, when tipped back to a single contact point and released, rocks down towards the…
Exact solutions and bounds for network SIR and SEIR models using a rooted-tree approximation
Cameron L. Hall, Bram A. Siebert
In this paper, we develop a node-based approximate model for Markovian contagion dynamics on networks. We prove that our approximate model is exact for SIR (susceptible-infectious-…
A shell model of eye growth and elasticity
L. S. Kimpton, B. J. Walker, C. L. Hall +4
The eye grows during childhood to position the retina at the correct distance behind the lens to enable focused vision, a process called emmetropization. Animal studies have demons…
The role of modularity in self-organisation dynamics in biological networks
Bram A. Siebert, Cameron L. Hall, James P. Gleeson +1
Interconnected ensembles of biological entities are perhaps some of the most complex systems that modern science has encountered so far. In particular, scientists have concentrated…
Dominance, Sharing, and Assessment in an Iterated Hawk--Dove Game
Cameron L. Hall, Mason A. Porter, Marian S. Dawkins
Animals use a wide variety of strategies to reduce or avoid aggression in conflicts over resources. These strategies range from sharing resources without outward signs of conflict…
Asymptotic analysis of boundary layers in a repulsive particle system
Cameron Hall, Thomas Hudson, Patrick van Meurs
This paper studies the boundary behaviour at mechanical equilibrium at the ends of a finite interval of a class of systems of interacting particles with monotone decreasing repulsi…
Multiple scales and matched asymptotic expansions for the discrete logistic equation
Cameron L. Hall, Christopher J. Lustri
In this paper, we combine the method of multiple scales and the method of matched asymptotic expansions to construct uniformly-valid asymptotic solutions to autonomous and non-auto…
The mechanics of a chain or ring of spherical magnets
Cameron L. Hall, Dominic Vella, Alain Goriely
Strong magnets, such as neodymium-iron-boron magnets, are increasingly being manufactured as spheres. Because of their dipolar characters, these spheres can easily be arranged into…
Formation of Dominance Relationships via Strategy Updating in an Asymmetric Hawk-Dove Game
Jasvir K. Grewal, Cameron L. Hall, Mason A. Porter +1
We develop a model to describe the development of dominance relations between social animals as they use past experiences to inform future interactions. Using the game-theoretic fr…
Magnetic chains: From self-buckling to self-assembly
Dominic Vella, Emmanuel du Pontavice, Cameron L. Hall +1
Spherical neodymium-iron-boron magnets are perman-ent magnets that can be assembled into a variety of structures due to their high magnetic strength. A one-dimensional chain of the…