• DocumentCode
    337130
  • Title

    Analysis and simulation of waves in reaction-diffusion systems

  • Author

    Genesio, Roberto ; Nitti, Massimo ; Torcini, Alessandro

  • Author_Institution
    Dipt. di Sistemi e Inf., Univ. di Firenza, Italy
  • Volume
    2
  • fYear
    1998
  • fDate
    16-18 Dec 1998
  • Firstpage
    2059
  • Abstract
    Considers reaction-diffusion systems in excitable media for studying the dynamics of related travelling waves. In particular, the one-dimensional Fitzhugh-Nagumo model is considered to apply two classical approaches of feedback systems and derive results of structural kind. The comparison with simulations obtained by a new integration procedure indicates the possible usefulness of such methods in this specific context
  • Keywords
    describing functions; feedback; integration; limit cycles; reaction-diffusion systems; wave equations; excitable media; feedback systems; one-dimensional Fitzhugh-Nagumo model; reaction-diffusion systems; travelling waves; Analytical models; Biological system modeling; Brain modeling; Chemicals; Chemistry; Environmental factors; Laplace equations; Muscles; Pattern formation; Physics;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1998. Proceedings of the 37th IEEE Conference on
  • Conference_Location
    Tampa, FL
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-4394-8
  • Type

    conf

  • DOI
    10.1109/CDC.1998.758637
  • Filename
    758637