Algebraic entropy, symmetries and linearization of quad equations consistent on the cube
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DOI: 10.1080/14029251.2016.1237200
Abstract: We discuss the non–autonomous nonlinear partial difference equations belonging to Boll classification of quad graph equations consistent around the cube. We show how starting from the compatible equations on a cell we can construct the… read more here.
Keywords: equations consistent; algebraic entropy; symmetries linearization; entropy symmetries ... See more keywords
Algebraic entropy for face-centered quad equations
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/ac2aeb
Abstract: In this paper we define the algebraic entropy test for face-centered quad equations, which are equations defined on vertices of a quadrilateral plus an additional interior vertex. This notion of algebraic entropy is applied to… read more here.
Keywords: algebraic entropy; face centered; entropy face; centered quad ... See more keywords
Algebraic Entropy of a Class of Five-Point Differential-Difference Equations
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DOI: 10.3390/sym11030432
Abstract: We compute the algebraic entropy of a class of integrable Volterra-like five-point differential-difference equations recently classified using the generalised symmetry method. We show that, when applicable, the results of the algebraic entropy agrees with the… read more here.
Keywords: algebraic entropy; differential difference; class; entropy class ... See more keywords