Adamopoulou, P and Konstantinou-Rizos, Sotirios and Papamikos, Georgios (2021) Integrable extensions of the Adler map via Grassmann algebras. Theoretical and Mathematical Physics, 207 (2). pp. 553-559. DOI https://doi.org/10.1134/s0040577921050019
Adamopoulou, P and Konstantinou-Rizos, Sotirios and Papamikos, Georgios (2021) Integrable extensions of the Adler map via Grassmann algebras. Theoretical and Mathematical Physics, 207 (2). pp. 553-559. DOI https://doi.org/10.1134/s0040577921050019
Adamopoulou, P and Konstantinou-Rizos, Sotirios and Papamikos, Georgios (2021) Integrable extensions of the Adler map via Grassmann algebras. Theoretical and Mathematical Physics, 207 (2). pp. 553-559. DOI https://doi.org/10.1134/s0040577921050019
Abstract
We study certain extensions of the Adler map on Grassmann algebras Γ(n) of order n. We consider a known Grassmann-extended Adler map and under the assumption that n =1, obtain a commutative extension of the Adler map in six dimensions. We show that the map satisfies the Yang–Baxter equation, admits three invariants, and is Liouville integrable. We solve the map explicitly by regarding it as a discrete dynamical system.
| Item Type: | Article |
|---|---|
| Additional Information: | Submitted for the proceedings of the second international conference on Integrable Systems and Nonlinear Dynamics in Yaroslavl 19--23 October 2020 |
| Uncontrolled Keywords: | Grassmann algebra; Liouville integrability; solution of discrete dynamical system; symplectic structure; Yang–Baxter map |
| Divisions: | Faculty of Science and Health Faculty of Science and Health > Mathematics, Statistics and Actuarial Science, School of |
| SWORD Depositor: | Unnamed user with email elements@essex.ac.uk |
| Depositing User: | Unnamed user with email elements@essex.ac.uk |
| Date Deposited: | 25 Jan 2024 16:32 |
| Last Modified: | 30 Oct 2024 16:48 |
| URI: | http://repository.essex.ac.uk/id/eprint/32664 |
Available files
Filename: 2012.15121.pdf