Coalgebra symmetry for discrete systems
G Gubbiotti, D Latini, B K Tapley
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Source: Crossref
Published: Apr 26, 2023
DOI: 10.1088/1751-8121/acc992
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Abstract In this paper we introduce the notion of coalgebra symmetry for discrete systems. With this concept we prove that all discrete radially symmetric systems in standard form are quasi-integrable and that all variational discrete quasi-radially symmetric systems in standard form are Poincaré–Lyapunov–Nekhoroshev maps of order N − 2, where N are the degrees of freedom of the system. We also discuss the integrability properties of several vector systems which are generalisations of well-known one degree of freedom discrete integrable systems, including two N degrees of freedom autonomous discrete Painlevé I equations and an N degrees of freedom McMillan map.
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