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Nonsmooth maps and the fast-slow dynamics of sleep-wake regulation: Part 1

Skeldon, A and Derks, G (2017) Nonsmooth maps and the fast-slow dynamics of sleep-wake regulation: Part 1 Research Perspectives CRM Barcelona (Trends in Mathematics series). pp. 167-170.

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Abstract

Sleep-wake regulation is an example of a system with multiple timescales, with switching between sleep and wake states occurring in minutes but the states of wake or sleep usually existing for some hours. Here we discuss some general features of models of sleep-wake regulation. We show that some typical models of sleep-wake regulation can be reduced to one-dimensional maps with discontinuities, and show that this reduction is useful in understanding some of the dynamical behaviour seen in sleep-wake models.

Item Type: Article
Subjects : Mathematics
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
NameEmailORCID
Skeldon, AUNSPECIFIEDUNSPECIFIED
Derks, GUNSPECIFIEDUNSPECIFIED
Date : 27 May 2017
Identification Number : https://doi.org/10.1007/978-3-319-55642-0_30
Copyright Disclaimer : The final publication is available at Springer via http://dx.doi.org/10.1007/978-3-319-55642-0_30
Related URLs :
Additional Information : In: Colombo A., Jeffrey M., Lázaro J., Olm J. (eds) Extended Abstracts Spring 2016. Trends in Mathematics, vol 8. Birkhäuser, Cham
Depositing User : Symplectic Elements
Date Deposited : 01 Jul 2016 17:45
Last Modified : 21 Jun 2017 14:18
URI: http://epubs.surrey.ac.uk/id/eprint/811093

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