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  • The dynamics of NQ-systems in the plane
    Mencinger, Matej ; Kutnjak, Milan
    The dynamics of discrete homogeneous quadratic planar maps is considered via the algebraic approach. There is a one-to-one correspondence between these systems and 2D commutative algebras (c.f. ... [Markus, 1960]). In particular, we consider the systems corresponding to algebras which contain some nilpotents of rank two (i.e. NQ-systems). Markus algebraic classification is used to obtain the class representatives. The case-by-case dynamical analysis is presented. It is proven that there is no chaos in NQ-systems. Yet, some cases are really interesting from the dynamical and bifurcational points of view.
    Type of material - article, component part
    Publish date - 2009
    Language - english
    COBISS.SI-ID - 13178390
    DOI