• DocumentCode
    1056290
  • Title

    Pattern formation and spatial chaos in lattice dynamical systems. I

  • Author

    Chow, Shui-Nee ; Mallet-Paret, John

  • Author_Institution
    Sch. of Math., Georgia Inst. of Technol., Atlanta, GA, USA
  • Volume
    42
  • Issue
    10
  • fYear
    1995
  • fDate
    10/1/1995 12:00:00 AM
  • Firstpage
    746
  • Lastpage
    751
  • Abstract
    We survey some recent advances in the theory of lattice dynamical systems, with both discrete-time and continuous-time problems being considered. Among the topics discussed, are pattern formation and spatial chaos, bifurcation of regular patterns (checkerboards and stripes), traveling waves and propagation failure, and homoclinic orbits of Zd actions
  • Keywords
    bifurcation; chaos; continuous time systems; discrete time systems; nonlinear dynamical systems; pattern recognition; bifurcation; checkerboards; continuous-time problems; discrete-time problems; homoclinic orbits; lattice dynamical systems; pattern formation; propagation failure; regular patterns; spatial chaos; stripes; traveling waves; Bifurcation; Chaos; Differential equations; Displays; Lattices; Mathematics; Orbits; Partial differential equations; Pattern formation; Phased arrays;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1057-7122
  • Type

    jour

  • DOI
    10.1109/81.473583
  • Filename
    473583
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1056290