Three Dimensional Integrable Mappings

Abstract

We derive three-dimensional integrable mappings which have two invariants.

6 pages, part of this paper is taken from the author's PhD thesis, not submitted for publication

References in corpus (2)

• Linearisable Mappings and the Low-Growth Criterion
• Three Dimensional Integrable Mappings

Cited by in corpus (10)

• Three Dimensional Integrable Mappings
• Invariants in Separated Variables: Yang-Baxter, Entwining and Transfer Maps
• Some properties of the k-dimensional Lyness' map
• Construction of Integrals of Higher-Order Mappings
• Involutivity of integrals for sine-Gordon, modified KdV and potential KdV maps
• On a class of third order mappings with two rational invariants
• Poisson structures for difference equations
• A Lax pair for the complete QRT mapping
• $2^n-$rational maps
• Integrable discretizations of a two-dimensional Hamiltonian system with a quartic potential