Multiple reductions, foliations and the dynamics of cluster maps

DOI10.1134/S1560354718010082zbMath1404.53105arXiv1607.03664OpenAlexW2962952449MaRDI QIDQ1795608

Inês Cruz, Helena Mena-Matos, M. Esmeralda Sousa-Dias

Publication date: 16 October 2018

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.03664

zbMATH Keywords

Poisson manifoldsfoliationspresymplectic manifoldscluster maps

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Poisson manifolds; Poisson groupoids and algebroids (53D17) Foliations (differential geometric aspects) (53C12) Multiplicative and other generalized difference equations (39A20) Cluster algebras (13F60)

Related Items (1)

The group of symplectic birational maps of the plane and the dynamics of a family of 4D maps

Cites Work

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• Difference equations and cluster algebras I: Poisson bracket for integrable difference equations
• Integrality and the Laurent phenomenon for Somos 4 and Somos 5 sequences
• Cluster ensembles, quantization and the dilogarithm
• Sigma function solution of the initial value problem for Somos 5 sequences
• A brief introduction to Dirac manifolds

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