Reduction of order of cluster-type recurrence relations

Authors

  • Inês Cruz Centro de Matemática da Universidade do Porto, Departamento de Matemática Faculdade de Ciências da Universidade do Porto
  • M. Esmeralda Sousa-Dias Center for Mathematical Analysis, Geometry, and Dynamical Systems Departamento de Matemática, Instituto Superior Técnico

DOI:

https://doi.org/10.11606/issn.2316-9028.v6i2p203-225

Abstract

Certain nonlinear recurrence relations (of the real line) can be studied within the framework of cluster algebra theory. For this type of relations we develop the tools of Poisson and pre-symplectic structures compatible with a cluster algebra, in order to understand how these structures enable to reduce the recurrence relation to one of lower order. Several examples are worked in detail.

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Author Biography

  • M. Esmeralda Sousa-Dias, Center for Mathematical Analysis, Geometry, and Dynamical Systems Departamento de Matemática, Instituto Superior Técnico

    Center for Mathematical Analysis, Geometry, and Dynamical Systems Departamento de Matemática, Instituto Superior Técnico

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Published

2012-12-30

Issue

Vol. 6 No. 2 (2012)

Section

Articles

How to Cite

Reduction of order of cluster-type recurrence relations. (2012). The São Paulo Journal of Mathematical Sciences, 6(2), 203-225. https://doi.org/10.11606/issn.2316-9028.v6i2p203-225