• DocumentCode
    324390
  • Title

    Edge of spatio-temporal chaos in cellular nonlinear networks

  • Author

    Dmitriev, Alexander S. ; Andreyev, Yuri V.

  • Author_Institution
    Inst. of Radio Eng. & Electron., Acad. of Sci., Moscow, Russia
  • fYear
    1998
  • fDate
    14-17 Apr 1998
  • Firstpage
    100
  • Lastpage
    105
  • Abstract
    We investigate phenomena of the edge of spatially uniform chaotic mode and spatial temporal chaos in a lattice of chaotic 1D maps with only local connections. It is shown that in autonomous lattice with local connections, spatially uniform chaotic mode cannot exist if the Lyapunov exponent λ of the isolated chaotic map is greater than some critical value λcr>0. We proposed a model of a lattice with a pacemaker and found a spatially uniform mode synchronous with the pacemaker, as well as a spatially uniform mode different from the pacemaker mode
  • Keywords
    Lyapunov methods; cellular neural nets; chaos; pacemakers; synchronisation; Lyapunov exponent; autonomous lattice; cellular nonlinear networks; chaotic map; chaotic mode; pacemaker; spatial temporal chaos; synchronisation; Cellular networks; Chaos; Information processing; Intelligent networks; Lattices; Logistics; Nearest neighbor searches; Pacemakers; Spatiotemporal phenomena; Stationary state;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Cellular Neural Networks and Their Applications Proceedings, 1998 Fifth IEEE International Workshop on
  • Conference_Location
    London
  • Print_ISBN
    0-7803-4867-2
  • Type

    conf

  • DOI
    10.1109/CNNA.1998.685341
  • Filename
    685341
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=324390