University of Surrey

Test tubes in the lab Research in the ATI Dance Research

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: Nonsmooth Dynamics.

[img] Text
nonsmooth_sleep_wake_partI_revised.pdf - Accepted version Manuscript
Restricted to Repository staff only
Available under License : See the attached licence file.

Download (2MB)
[img]
Preview
Text (licence)
SRI_deposit_agreement.pdf
Available under License : See the attached licence file.

Download (33kB) | Preview

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 :
AuthorsEmailORCID
Skeldon, AUNSPECIFIEDUNSPECIFIED
Derks, GUNSPECIFIEDUNSPECIFIED
Date : 1 January 2017
Copyright Disclaimer : The final publication is available at Springer via http://dx.doi.org/[insert DOI]
Related URLs :
Depositing User : Symplectic Elements
Date Deposited : 01 Jul 2016 17:45
Last Modified : 01 Jul 2016 17:45
URI: http://epubs.surrey.ac.uk/id/eprint/811093

Actions (login required)

View Item View Item

Downloads

Downloads per month over past year


Information about this web site

© The University of Surrey, Guildford, Surrey, GU2 7XH, United Kingdom.
+44 (0)1483 300800