Loughborough University
Leicestershire, UK
LE11 3TU
+44 (0)1509 263171
Loughborough University

Loughborough University Institutional Repository

Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/27523

Title: A rigorous computational approach to linear response
Authors: Bahsoun, Wael
Galatolo, Stefano
Nisoli, Isaia
Niu, Xiaolong
Issue Date: 2017
Publisher: IOP Publishing
Citation: BAHSOUN, W. ... et al., 2017. A rigorous computational approach to linear response. Nonlinearity, In Press.
Abstract: We present a general setting in which the formula describing the linear response of the physical measure of a perturbed system can be obtained. In this general setting we obtain an algorithm to rigorously compute the linear response. We apply our results to expanding circle maps. In particular, we present examples where we compute, up to a pre-specified error in the L1-norm, the response of expanding circle maps under stochastic and deterministic perturbations. Moreover, we present an example where we compute, up to a pre-specified error in the L1-norm, the response of the intermittent family at the boundary; i.e., when the unperturbed system is the doubling map.
Description: This paper is in closed access until 12 months after publication.
Sponsor: WB and SG would like to thank The Leverhulme Trust for supporting mutual research visits through the Network Grant IN-2014-021. The research of SG and IN is partially supported by EU Marie-Curie IRSES \Brazilian-European partnership in Dynamical Systems" (FP7-PEOPLE-2012-IRSES 318999 BREUDS). IN was partially supported by CNPq and FAPERJ. IN would like to thank the Department of Mathematics at Uppsala University and the support of the KAW grant 2013.0315.
Version: Accepted for publication
URI: https://dspace.lboro.ac.uk/2134/27523
Publisher Link: http://iopscience.iop.org/journal/0951-7715
ISSN: 0951-7715
Appears in Collections:Closed Access (Maths)

Files associated with this item:

File Description SizeFormat
FinalChanges.pdfAccepted version449.8 kBAdobe PDFView/Open


SFX Query

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.