Conservative quasipolynomial maps
Benito Hern\'andez-Bermejo, L\'eon Brenig
TL;DR
This paper investigates conservative quasipolynomial maps, providing a classification for dimensions two and three, and analyzing their properties, conserved quantities, and dimensional reduction in higher dimensions.
Contribution
It offers a complete classification for 2D and 3D cases and analyzes general properties of n-dimensional conservative quasipolynomial maps.
Findings
Complete classification for 2D and 3D maps
Analytical solution for 2D case
Characterization of conserved quantities and dimensional reduction
Abstract
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.
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