• DocumentCode
    3810776
  • Title

    Turing patterns in CNNs. II. Equations and behaviors

  • Author

    L. Goras;L.O. Chua

  • Author_Institution
    Electron. Res. Lab., California Univ., Berkeley, CA, USA
  • Volume
    42
  • Issue
    10
  • fYear
    1995
  • Firstpage
    612
  • Lastpage
    626
  • Abstract
    For part I, see ibid., vol. 42, no. 10, pp. 602-11 (Oct. 1995). The general state equations describing two-grid coupled CNNs based on the reduced Chua´s circuit are derived, and the analysis of Turing pattern formation is approached from a specific point of view: spatial-eigenfunction based equation decoupling. Discrete spatial eigenfunctions for two common types of boundary conditions are presented, and the way the dynamics is influenced by the shape and position of the dispersion curve is analyzed.
  • Keywords
    "Cellular neural networks","Pattern formation","Laplace equations","Pattern analysis","Differential equations","Circuits","Eigenvalues and eigenfunctions","Couplings","Steady-state","Boundary conditions"
  • Journal_Title
    IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
  • Publisher
    ieee
  • ISSN
    1057-7122
  • Type

    jour

  • DOI
    10.1109/81.473568
  • Filename
    473568
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3810776