Work

Invariant Volume Form for 3D QRT Maps

Year: 2026

Type: article

Abstract: Recently, we proposed a three-dimensional generalization of QRT maps. These novel maps can be associated with pairs of pencils of quadrics in $$\mathbb {P}^3$$ P 3 . By construction, these maps have two rational integrals (parameters of both pencils). In the present paper, we find an invariant volume form for these maps, thus finally establishing their integrability.

Source: Mathematical Physics Analysis and Geometry

DOI: 10.1007/s11040-026-09556-0

Authors: Jaume Alonso, Yuri B. Suris

Institution: Technische Universität Berlin

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funder: Technische Universität Berlin