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of 244
pro vyhledávání: '"Mcgehee, Richard"'
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 of his model, one with a smooth transition between convective states,
Externí odkaz:
http://arxiv.org/abs/2309.03430
Autor:
Meyer, Katherine, Broda, James, Brettin, Andrew, Muñiz, María Sánchez, Gorman, Sarah, Isbell, Forest, Hobbie, Sarah E., Zeeman, Mary Lou, McGehee, Richard
Publikováno v:
The American Naturalist 201.6 (2023): E153-E167
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 competition predicts reversible decreases in plant diversity in response to
Externí odkaz:
http://arxiv.org/abs/2208.12851
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 reservoirs. The method assumes that the data can be explained by havi
Externí odkaz:
http://arxiv.org/abs/2107.08885
Publikováno v:
SIAM Journal on Applied Dynamical Systems 21.2 (2022): 960-981
Although mathematical models do not fully match reality, robustness of dynamical objects to perturbation helps bridge from theoretical to real-world dynamical systems. Classical theories of structural stability and isolated invariant sets treat robus
Externí odkaz:
http://arxiv.org/abs/2012.10786
Autor:
Hill, Kaitlin, McGehee, Richard
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 to be caused by a buildup of pressure from below the permafrost, poss
Externí odkaz:
http://arxiv.org/abs/1810.12370
Autor:
Nadeau, Alice, McGehee, Richard
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 explicit formula for the coefficients of this series as it depends on the
Externí odkaz:
http://arxiv.org/abs/1810.10081
In recent work [Nien et al. 2016], the authors enumerated a classification of quadratic maps of the plane according to their critical sets and images. It is straightforward to show that quadratic maps which are affinely map equivalent are also equiva
Externí odkaz:
http://arxiv.org/abs/1708.09506
Autor:
Nadeau, Alice, McGehee, Richard
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 August 2021 500(1)
Conceptual climate models provide an approach to understanding climate processes through a mathematical analysis of an approximation to reality. Recently, these models have also provided interesting examples of nonsmooth dynamical systems. Here we di
Externí odkaz:
http://arxiv.org/abs/1511.01227
Autor:
Nadeau, Alice, McGehee, Richard
Publikováno v:
Icarus, Volume 291, 15 July 2017, Pages 46-50
In this paper, we use a sixth order Legendre series expansion to approximate the mean annual insolation by latitude of a planet with obliquity angle $\beta$, leading to faster computations with little loss in the accuracy of results. We discuss diffe
Externí odkaz:
http://arxiv.org/abs/1510.04542