31 citations · 70 across the 10 of their papers we have counts for
11 papers
Study of Poincare map and limit cycles for non-smooth Welander's system
Yagor Romano Carvalho, Luiz F. S. Gouveia, Richard Mcgehee
In this work, our primary goal is to study the Poincare map and the existence of limit cycles for Welander's model that describes ocean convection. Welander developed two versions…
Nitrogen-induced hysteresis in grassland biodiversity: a theoretical test of litter-mediated mechanisms
Katherine Meyer, James Broda, Andrew Brettin +6
The global rise in anthropogenic reactive nitrogen (N) and the negative impacts of N deposition on terrestrial plant diversity are well-documented. The R* theory of resource compet…
A new method of carbon budget analysis with application to present and paleo atmospheric concentration data sets
Alice Nadeau, Richard McGehee, Clarence Lehman
We introduce a new method for analyzing the carbon budget using box models and a mass balance approach. The method describes the net flow of carbon between the atmosphere and other…
Intensity -- A Metric Approach to Quantifying Attractor Robustness in ODEs
Katherine J. Meyer, Richard P. McGehee
Although mathematical models do not fully match reality, robustness of dynamical objects to perturbation helps bridge from theoretical to real-world dynamical systems. Classical th…
Heat conduction through permafrost and its potential for explosive behavior
Kaitlin Hill, Richard McGehee
The recent widespread thaw of permafrost has led to observations of explosive gas emissions, which expel ice and soil debris and leave behind large craters. This phenomenon appears…
Approximating Annual Mean Incoming Solar Radiation
Alice Nadeau, Richard McGehee
We derive the Legendre series expansion for the insolation distribution on rapidly rotating planets as a function of sine of the latitude and the planet's obliquity. We give an exp…