Report
View in EDS

Controlling coexisting attractors of a class of non-autonomous dynamical systems

Bibliographic Details
Title: Controlling coexisting attractors of a class of non-autonomous dynamical systems
Authors: Zhang, Zhi, Chávez, Joseph Páez, Sieber, Jan, Liu, Yang
Source: Physica D 431, 133134 (16 pages), 2022
Publication Year: 2021
Collection: Mathematics
Subject Terms: Mathematics - Dynamical Systems
More Details: This paper studies a control method for switching stable coexisting attractors of a class of non-autonomous dynamical systems. The central idea is to introduce a continuous path for the system's trajectory to transition from its original undesired stable attractor to a desired one by varying one of the system parameters according to the information of the desired attractor. The behaviour of the control is studied numerically for both non-smooth and smooth dynamical systems, using a sof-impact and a Duffing oscillator as examples. Special attention is given to identify the regions where the proposed control strategy is applicable by using the path-following methods implemented via the continuation platform COCO. It is shown that the proposed control concept can be implemented through either using an external control input or varying a system parameter. Finally, extensive numerical results are presented to validate the proposed control methods.
Document Type: Working Paper
DOI: 10.1016/j.physd.2021.133134
Access URL: http://arxiv.org/abs/2112.09449
Accession Number: edsarx.2112.09449
Database: arXiv
FullText Text:
  Availability: 0
CustomLinks:
  – Url: http://arxiv.org/abs/2112.09449
    Name: EDS - Arxiv
    Category: fullText
    Text: View this record from Arxiv
    MouseOverText: View this record from Arxiv
  – Url: https://resolver.ebsco.com/c/xy5jbn/result?sid=EBSCO:edsarx&genre=article&issn=&ISBN=&volume=&issue=&date=20211217&spage=&pages=&title=Controlling coexisting attractors of a class of non-autonomous dynamical systems&atitle=Controlling%20coexisting%20attractors%20of%20a%20class%20of%20non-autonomous%20dynamical%20systems&aulast=Zhang%2C%20Zhi&id=DOI:10.1016/j.physd.2021.133134
    Name: Full Text Finder (for New FTF UI) (s8985755)
    Category: fullText
    Text: Find It @ SCU Libraries
    MouseOverText: Find It @ SCU Libraries
Header DbId: edsarx
DbLabel: arXiv
An: edsarx.2112.09449
RelevancyScore: 1022
AccessLevel: 3
PubType: Report
PubTypeId: report
PreciseRelevancyScore: 1021.69317626953
IllustrationInfo
Items – Name: Title
  Label: Title
  Group: Ti
  Data: Controlling coexisting attractors of a class of non-autonomous dynamical systems
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Zhang%2C+Zhi%22">Zhang, Zhi</searchLink><br /><searchLink fieldCode="AR" term="%22Chávez%2C+Joseph+Páez%22">Chávez, Joseph Páez</searchLink><br /><searchLink fieldCode="AR" term="%22Sieber%2C+Jan%22">Sieber, Jan</searchLink><br /><searchLink fieldCode="AR" term="%22Liu%2C+Yang%22">Liu, Yang</searchLink>
– Name: TitleSource
  Label: Source
  Group: Src
  Data: Physica D 431, 133134 (16 pages), 2022
– Name: DatePubCY
  Label: Publication Year
  Group: Date
  Data: 2021
– Name: Subset
  Label: Collection
  Group: HoldingsInfo
  Data: Mathematics
– Name: Subject
  Label: Subject Terms
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Mathematics+-+Dynamical+Systems%22">Mathematics - Dynamical Systems</searchLink>
– Name: Abstract
  Label: Description
  Group: Ab
  Data: This paper studies a control method for switching stable coexisting attractors of a class of non-autonomous dynamical systems. The central idea is to introduce a continuous path for the system's trajectory to transition from its original undesired stable attractor to a desired one by varying one of the system parameters according to the information of the desired attractor. The behaviour of the control is studied numerically for both non-smooth and smooth dynamical systems, using a sof-impact and a Duffing oscillator as examples. Special attention is given to identify the regions where the proposed control strategy is applicable by using the path-following methods implemented via the continuation platform COCO. It is shown that the proposed control concept can be implemented through either using an external control input or varying a system parameter. Finally, extensive numerical results are presented to validate the proposed control methods.
– Name: TypeDocument
  Label: Document Type
  Group: TypDoc
  Data: Working Paper
– Name: DOI
  Label: DOI
  Group: ID
  Data: 10.1016/j.physd.2021.133134
– Name: URL
  Label: Access URL
  Group: URL
  Data: <link linkTarget="URL" linkTerm="http://arxiv.org/abs/2112.09449" linkWindow="_blank">http://arxiv.org/abs/2112.09449</link>
– Name: AN
  Label: Accession Number
  Group: ID
  Data: edsarx.2112.09449
PLink https://login.libproxy.scu.edu/login?url=https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&scope=site&db=edsarx&AN=edsarx.2112.09449
RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1016/j.physd.2021.133134
    Subjects:
      – SubjectFull: Mathematics - Dynamical Systems
        Type: general
    Titles:
      – TitleFull: Controlling coexisting attractors of a class of non-autonomous dynamical systems
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Zhang, Zhi
      – PersonEntity:
          Name:
            NameFull: Chávez, Joseph Páez
      – PersonEntity:
          Name:
            NameFull: Sieber, Jan
      – PersonEntity:
          Name:
            NameFull: Liu, Yang
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 17
              M: 12
              Type: published
              Y: 2021
ResultId 1