• DocumentCode
    630896
  • Title

    A global attractor consisting of exponentially unstable equilibria

  • Author

    Freeman, Randy A.

  • Author_Institution
    Dept. of Electr. Eng. & Comput. Sci., Northwestern Univ., Evanston, IL, USA
  • fYear
    2013
  • fDate
    17-19 June 2013
  • Firstpage
    4855
  • Lastpage
    4860
  • Abstract
    There exist examples in the literature of attractors consisting solely of unstable equilibria, but in these examples, the unstable equilibria are not exponentially unstable (the differentials of the vector fields at the unstable equilibria have no eigenvalues in the open right-half complex plane). In this paper we provide an example of a system having a compact global attractor consisting solely of exponentially unstable equilibria.
  • Keywords
    asymptotic stability; vectors; eigenvalue; exponentially unstable equilibria; global attractor; vector field; Eigenvalues and eigenfunctions; Manifolds; Measurement; Orbits; Topology; Trajectory; Vectors;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference (ACC), 2013
  • Conference_Location
    Washington, DC
  • ISSN
    0743-1619
  • Print_ISBN
    978-1-4799-0177-7
  • Type

    conf

  • DOI
    10.1109/ACC.2013.6580590
  • Filename
    6580590
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=630896