Browsing Mathematics and Statistics, Department of by Title
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Unstable Brake Orbits in Symmetric Hamiltonian Systems
(20130925)In this thesis we investigate the existence and stability of periodic solutions of Hamiltonian systems with a discrete symmetry. The global existence of periodic motions can be proven using the classical techniques of ... 
Variational principles for constrained systems: theory and experiment
(1994)In this paper we present two methods, the nonholonomic method and the vakonomic method, for deriving equations of motion for a mechanical system with constraints. The resulting equations are compared. Results are also ... 
Variations of Li's criterion for an extension of the Selberg class
(20120809)In 1997, XianJin Li gave an equivalence to the classical Riemann hypothesis, now referred to as Li's criterion, in terms of the nonnegativity of a particular infinite sequence of real numbers. We formulate the analogue ... 
Variations on Artin's Primitive Root Conjecture
(20110811)Let $a \in \mathbb{Z}$ be a nonzero integer. Let $p$ be a prime such that $p \nmid a$. Define the index of $a$ modulo $p$, denoted $i_{a}(p)$, to be the integer $i_{a}(p) := [(\mathbb{Z}/p\mathbb{Z})^{\ast}:\langle a ... 
Why is sterility virulence most common in sexually transmitted infections? Examining the role of epidemiology
(20190312)Sterility virulence, or the reduction in host fecundity due to infection, occurs in many host–pathogen systems. Notably, sterility virulence is more common for sexually transmitted infections (STIs) than for directly ...