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Chaos of a coupled lattice system related with the Belusov - Zhabotinskii reaction

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27240%2F10%3A10224530" target="_blank" >RIV/61989100:27240/10:10224530 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Chaos of a coupled lattice system related with the Belusov - Zhabotinskii reaction

  • Original language description

    In this paper we present a lattice dynamical system stated by K. Kaneko in [Phys. Rev. Lett., 65, 1391-1394, 1990] which is related to the BelusovZhabotinskii chemical reaction. We prove that this CML (Coupled Map Lattice) system is chaotic in the senseof LiYorke and in the sense of Devaney for zero coupling constant. Some problems on the dynamics of this system are stated for the case of having nonzero coupling constant. In this paper we present a lattice dynamical system stated by K. Kaneko in [Phys.Rev. Lett., 65, 1391-1394, 1990] which is related to the BelusovZhabotinskii chemical reaction. We prove that this CML (Coupled Map Lattice) system is chaotic in the sense of LiYorke and in the sense of Devaney for zero coupling constant. Some problemson the dynamics of this system are stated for the case of having nonzero coupling constant.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2010

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Journal of Mathematical Chemistry

  • ISSN

    0259-9791

  • e-ISSN

  • Volume of the periodical

    48

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    6

  • Pages from-to

  • UT code for WoS article

    000278580400018

  • EID of the result in the Scopus database