3 papers
math.DS2019
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…
math.CA2008
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…
math.OC2005
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…