Conservative quasipolynomial maps

The existence of conservative quasipolynomial (QP) maps is investigated. A classification is given for dimensions two and three, and the analytical solution of the former case is constructed. General properties of n-dimensional QP conservative maps are also analyzed, including their dimensional redu...

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Bibliographic Details
Published inPhysics letters. A Vol. 324; no. 5; pp. 425 - 436
Main Authors Hernández-Bermejo, Benito, Brenig, Léon
Format Journal Article
LanguageEnglish
Published Elsevier B.V 26.04.2004
Subjects
Conservative maps
Discrete-time systems
Lotka–Volterra maps
Quasipolynomial maps
Discrete-time systems
03.65.Fd
46.10.+z
Lotka–Volterra maps
Quasipolynomial maps
03.20.+i
Conservative maps
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Summary:The existence of conservative quasipolynomial (QP) maps is investigated. A classification is given for dimensions two and three, and the analytical solution of the former case is constructed. General properties of n-dimensional QP conservative maps are also analyzed, including their dimensional reduction and the characterization of conserved quantities.
ISSN:0375-9601
1873-2429
DOI:10.1016/j.physleta.2004.03.011