A family of integrable maps associated with the Volterra lattice

Recently Gubbiotti, Joshi, Tran and Viallet classified birational maps in four dimensions admitting two invariants (first integrals) with a particular degree structure, by considering recurrences of fourth order with a certain symmetry. The last three of the maps so obtained were shown to be Liouvil...

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Veröffentlicht in:	Nonlinearity 2024-09, Vol.37 (9), p.95028
Hauptverfasser:	Hone, A N W, Roberts, J A G, Vanhaecke, P
Format:	Artikel
Sprache:	eng
Schlagworte:	14E05 14H70 37J70 39A20 continued fraction discrete integrability hyperelliptic curve integrable map Mathematics Poisson bracket
Online-Zugang:	Volltext
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