Archaeological Testing at the John Brice II (Jennings-Brice) House, 18AP53, 195 Prince George Street, Annapolis, Maryland

In the fall of 1989, emergency excavation was undertaken in conjunction with restoration work at the John Brice II (Jennings-Brice) House, 18AP53. The exact date of construction for this brick home is problematic, and it was hoped that archaeological investigation could provide conclusive evidence to firmly establish the structure's date of construction. Excavation of one 5 X 5 ft. unit revealed the presence of 10 separate soil layers and four features of note, described in detail below. Unfortunately, no builders trench or similar feature by which we might date the house's construction was recovered. Future plans and possibilities for excavation at the property are outlined with the hopes of performing subsequent work at this rich site. We anticipate a focus on the arrangement and changes in use of the houselot, amassing evidence to support the presence of a vernacular garden on the property during the 18th century, as well as researching refuse disposal patterns, and clues to changing lifeways through the 18th century.

Archaeological Testing at 10 Francis Street, Annapolis, Maryland, 18AP55

In August 1990, archaeological investigations were permitted at 10 Francis Street (18AP55). The house on this property dates to the early eighteenth century and the property has had little disturbance since that time. Excavation here has provided an excellent opportunity to learn more about this period of Annapolis' history. Two units were excavated and are described fully within this report. One unit, placed next to the house foundation, revealed an eighteenth-century brick sidewalk beneath the current mid-nineteenth-century brick sidewalk, but it did not contain any builder's trench for the structure. A second unit, randomly place in the back yard, revealed intact stratigraphy dating back to the early eighteenth century. These findings demonstrate the integrity of this site and its potential for future investigation. Any alterations to this property should proceed only after further controlled excavations have taken place.

Cyclic Pursuit: Symmetry, Reduction and Nonlinear Dynamics

In this dissertation, we explore the use of pursuit interactions as a building block for collective behavior, primarily in the context of constant bearing (CB) cyclic pursuit. Pursuit phenomena are observed throughout the natural environment and also play an important role in technological contexts, such as missile-aircraft encounters and interactions between unmanned vehicles. While pursuit is typically regarded as adversarial, we demonstrate that pursuit interactions within a cyclic pursuit framework give rise to seemingly coordinated group maneuvers. We model a system of agents (e.g. birds, vehicles) as particles tracing out curves in the plane, and illustrate reduction to the shape space of relative positions and velocities. Introducing the CB pursuit strategy and associated pursuit law, we consider the case for which agent i pursues agent i+1 (modulo n) with the CB pursuit law. After deriving closed-loop cyclic pursuit dynamics, we demonstrate asymptotic convergence to an invariant submanifold (corresponding to each agent attaining the CB pursuit strategy), and proceed by analysis of the reduced dynamics restricted to the submanifold. For the general setting, we derive existence conditions for relative equilibria (circling and rectilinear) as well as for system trajectories which preserve the shape of the collective (up to similarity), which we refer to as pure shape equilibria. For two illustrative low-dimensional cases, we provide a more comprehensive analysis, deriving explicit trajectory solutions for the two-particle "mutual pursuit" case, and detailing the stability properties of three-particle relative equilibria and pure shape equilibria. For the three-particle case, we show that a particular choice of CB pursuit parameters gives rise to remarkable almost-periodic trajectories in the physical space. We also extend our study to consider CB pursuit in three dimensions, deriving a feedback law for executing the CB pursuit strategy, and providing a detailed analysis of the two-particle mutual pursuit case. We complete the work by considering evasive strategies to counter the motion camouflage (MC) pursuit law. After demonstrating that a stochastically steering evader is unable to thwart the MC pursuit strategy, we propose a (deterministic) feedback law for the evader and demonstrate the existence of circling equilibria for the closed-loop pursuer-evader dynamics.