Hyper-elliptic Nambu flow associated with integrable maps

TL;DR

This paper explores hyper-elliptic Nambu flows linked to certain n-dimensional maps, demonstrating that discrete integrable systems can be represented as continuous flows within this framework.

Contribution

It introduces a novel connection between hyper-elliptic Nambu flows and discrete integrable systems, expanding the understanding of their relationship.

Findings

Discrete integrable systems can be modeled as hyper-elliptic Nambu flows.

The study provides a new perspective on the structure of integrable maps.

Flow representations help analyze properties of integrable systems.

Abstract

We study hyper-elliptic Nambu flows associated with some $n$ dimensional maps and show that discrete integrable systems can be reproduced as flows of this class.