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Computability with polynomial differential equations

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An Analog Characterization of the Grzegorczyk Hierarchy

It is claimed that, at least in this region of the complexity hierarchy, there is a close connection between analog complexity classes, the dynamical systems that compute them, and classical sets of subrecursive functions.
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Robust Simulations of Turing Machines with Analytic Maps and Flows

It is shown that closed-form analytic maps and flows can simulate Turing machines in an error-robust manner and are explicitly obtained and the simulation is performed in real time.
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Reliable Crop Identification with Satellite Imagery in the Context of Common Agriculture Policy Subsidy Control

The objective of this study was to develop a reliable control system to partially replace CAPI for crop identification, with the overreaching goal of reducing control costs and completion time.
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Assessing the extent of agriculture/pasture and secondary succession forest in the Brazilian Legal Amazon using SPOT VEGETATION data

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Estimation of Effective Resolution for Daily MODIS Gridded Surface Reflectance Products

This paper estimates the point spread function (PSF) of nominal 250-m MODIS gridded surface reflectance products from sequences of daily images over man-made large-size targets and discusses some implications of the reliance on a global fixed grid, such as the MODIS sinusoidal grid, on the relation between location and spatial resolution.
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The General Purpose Analog Computer and Computable Analysis are Two Equivalent Paradigms of Analog Computation

This paper revisits one of the first models of analog computation, Shannon's General Purpose Analog Computer (GPAC), and shows that all real computable functions can be defined by such models.
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Estimating the effective spatial resolution of the operational BRDF, albedo, and nadir reflectance products from MODIS and VIIRS

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A Survey on Continuous Time Computations

We provide an overview of theories of continuous time computation. These theories allow us to understand both the hardness of questions related to continuous time dynamical systems and the…
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Polynomial differential equations compute all real computable functions on computable compact intervals

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