Stability and memory-loss go hand-in-hand : three results in dynamics and computation

dc.contributor.authorManjunath, Gandhi
dc.contributor.emailmanjunath.gandhi@up.ac.zaen_ZA
dc.date.accessioned2021-09-17T13:29:36Z
dc.date.available2021-09-17T13:29:36Z
dc.date.issued2020-10
dc.description.abstractThe search for universal laws that help establish a relationship between dynamics and computation is driven by recent expansionist initiatives in biologically inspired computing. A general setting to understand both such dynamics and computation is a driven dynamical system that responds to a temporal input. Surprisingly, we find memory-loss a feature of driven systems to forget their internal states helps provide unambiguous answers to the following fundamental stability questions that have been unanswered for decades: what is necessary and sufficient so that slightly different inputs still lead to mostly similar responses? How does changing the driven system’s parameters affect stability? What is the mathematical definition of the edge-of-criticality? We anticipate our results to be timely in understanding and designing biologically inspired computers that are entering an era of dedicated hardware implementations for neuromorphic computing and state-of-the-art reservoir computing applications.en_ZA
dc.description.departmentMathematics and Applied Mathematicsen_ZA
dc.description.librarianhj2021en_ZA
dc.description.sponsorshipThe National Research Foundation, South Africaen_ZA
dc.description.urihttp://rspa.royalsocietypublishing.orgen_ZA
dc.identifier.citationManjunath, G. 2020, 'Stability and memory-loss go hand-in-hand: three results in dynamics and computation', Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 476, no. 2242.en_ZA
dc.identifier.issn1364-5021 (print)
dc.identifier.issn1471-2946 (online)
dc.identifier.other10.1098/rspa.2020.0563
dc.identifier.urihttp://hdl.handle.net/2263/81900
dc.language.isoenen_ZA
dc.publisherRoyal Societyen_ZA
dc.rights© 2020 The Author(s). Published by the Royal Society. All rights reserved.en_ZA
dc.subjectDynamicsen_ZA
dc.subjectComplex systemsen_ZA
dc.subjectStabilityen_ZA
dc.subjectEdge-of-criticalityen_ZA
dc.subjectBio-inspired computingen_ZA
dc.subjectReservoir computingen_ZA
dc.titleStability and memory-loss go hand-in-hand : three results in dynamics and computationen_ZA
dc.typePostprint Articleen_ZA

Files