Derivation of a Floquet Formalism within a Natural Framework

G. J. Boender, A. A. de Koeijer, E. A.J. Fischer

Research output: Contribution to journalArticleAcademicpeer-review

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.

Original languageEnglish
Pages (from-to)303-317
Number of pages15
JournalActa Biotheoretica
Volume60
Issue number3
DOIs
Publication statusPublished - Sept 2012

Keywords

  • Circadian cycle
  • Floquet ratio
  • Floquet theory
  • Periodicity
  • Population dynamics
  • Seasonality

Fingerprint

Dive into the research topics of 'Derivation of a Floquet Formalism within a Natural Framework'. Together they form a unique fingerprint.

Cite this