Staff Publications

Staff Publications

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    'Staff publications' is the digital repository of Wageningen University & Research

    'Staff publications' contains references to publications authored by Wageningen University staff from 1976 onward.

    Publications authored by the staff of the Research Institutes are available from 1995 onwards.

    Full text documents are added when available. The database is updated daily and currently holds about 240,000 items, of which 72,000 in open access.

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Record number 428551
Title Derivation of a Floquet Fromalism Within a Natural Framework
Author(s) Boender, G.J.; Koeijer, A.A. de; Fischer, E.A.J.
Source Acta Biotheoretica 60 (2012)3. - ISSN 0001-5342 - p. 303 - 317.
DOI https://doi.org/10.1007/s10441-012-9162-4
Department(s) CVI Diagnostics and Crisis
WIAS
Publication type Refereed Article in a scientific journal
Publication year 2012
Keyword(s) threshold - vector
Abstract Many biological systems experience a periodic environment. Floquet theory is a mathematical tool to deal with such time periodic systems. It is not often applied in biology, because linkage between the mathematics and the biology is not available. To create this linkage, we derive the Floquet theory for natural systems. We construct a framework, where the rotation of the Earth is causing the periodicity. Within this framework the angular momentum operator is introduced to describe the Earth’s rotation. The Fourier operators and the Fourier states are defined to link the rotation to the biological system. Using these operators, the biological system can be transformed into a rotating frame in which the environment becomes static. In this rotating frame the Floquet solution can be derived. Two examples demonstrate how to apply this natural framework.
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