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The dynamics of NQ-systems in the planeMencinger, Matej ; Kutnjak, MilanThe 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.Source: International journal of bifurcation and chaos in applied sciences and engineering. - ISSN 0218-1274 (Vol. 19, iss. 1, Jan. 2009, str. 117-133)Type of material - article, component partPublish date - 2009Language - englishCOBISS.SI-ID - 13178390
Author
Mencinger, Matej |
Kutnjak, Milan
Topics
homogeni sistemi |
kvadratični sistemi |
diskretni dinamični sistemi |
nilpotent |
komutativna algebra |
neasociativna algebra |
homogeneous system |
quadratic system |
discrete dynamical system |
nilpotent |
commutative algebra |
nonassociative algebra |
nonlinear science
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source: International journal of bifurcation and chaos in applied sciences and engineering. - ISSN 0218-1274 (Vol. 19, iss. 1, Jan. 2009, str. 117-133)
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Database name | Field | Year |
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Mencinger, Matej | 17809 |
Kutnjak, Milan | 05562 |
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