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arXiv · 1511.01227

Periodic Orbits for a Discontinuous Vector Field Arising from a Conceptual Model of Glacial Cycles

James Walsh·Esther Widiasih·Jonathan Hahn·Richard McGehee
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Abstract

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 discuss a conceptual model of glacial cycles consisting of a system of three ordinary differential equations defining a discontinuous vector field. We show that this system has a large periodic orbit crossing the discontinuity boundary. This orbit can be interpreted as an intrinsic cycling of the Earth's climate giving rise to alternating glaciations and deglaciations.

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James Walsh, Esther Widiasih, Jonathan Hahn, Richard McGehee. 2015-11-04. Periodic Orbits for a Discontinuous Vector Field Arising from a Conceptual Model of Glacial Cycles. https://doi.org/10.1088/0951-7715%2F29%2F6%2F1843

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