5 papers
Revisiting Comins, Hassell, and May
Stewart D. Johnson
In a sequence of papers in the early 1990's, Comins, Hassell, and May investigated Nicholson-Baily dynamics in a spatial implementation with diffusion. They delineated four types o…
A Short Note on Nonlinear Games on a Grid
Stewart D. Johnson
Players are arranged on a regular lattice and coded with a specific strategy for a pre-defined game. Each player sums their payoffs from playing the game with each of their neighbo…
Computing Minimum Time Paths With Bounded Acceleration
Stewart D. Johnson
Solving for the minimum time bounded acceleration trajectory with prescribed position and velocity at endpoints is a highly nonlinear problem. The methods and bounds developed in t…
Cyclic Approximation to K-Stasis
Stewart D. Johnson
If a linear combination of k smooth vector fields is zero at a point, then, generically, near this point there are small cycles comprised of segments from the flow of each vector f…
Stasis Points and Approximating Two-Cycles
Stewart D. Johnson
Generically, every fixed point for the differential inclusion x' in ConvexHull{f_1,f_2} can be approximated by an arbitrarily small two-cycle for the inclusion x' in {f_1,f_2}, whe…