Mechanisms and dynamical systems

David Michael Kaplan*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapter

1 Citation (Scopus)

Abstract

The mathematical framework of dynamics, or more specifically dynamical systems theory (hereafter DST), is having a major impact across many sectors of contemporary biology and neuroscience. The DST toolkit (described in more detail shortly), which includes differential equations, geometric state-space analyses, and other visualization techniques such as attractor landscapes and bifurcation diagrams, is playing an increasingly important role in modeling and explaining the time-varying activity of biological and neural systems ranging from single neurons and local circuits to entire brain networks, biological populations, and complex ecosystems (for book-length treatments, see Abraham and Shaw 1992; Amit 1992; Izhikevich 2005; Strogatz 1994).
Original languageEnglish
Title of host publicationThe Routledge handbook of mechanisms and mechanical philosophy
EditorsStuart Glennan, Phyllis Illari
Place of PublicationLondon
PublisherTaylor & Francis
Chapter20
Pages267-280
Number of pages14
ISBN (Electronic)9781317552307, 9781315731544
ISBN (Print)9781138841697
DOIs
Publication statusPublished - 2018

Publication series

NameRoutledge handbooks in philosophy

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  • Cite this

    Kaplan, D. M. (2018). Mechanisms and dynamical systems. In S. Glennan, & P. Illari (Eds.), The Routledge handbook of mechanisms and mechanical philosophy (pp. 267-280). (Routledge handbooks in philosophy). London: Taylor & Francis. https://doi.org/10.4324/9781315731544.ch20