A Darboux-type theory of integrability for discrete dynamical systems

Armengol Gasull; Víctor Mañosa

doi:10.1080/1023619021000054042

A Darboux-type theory of integrability for discrete dynamical systems

Armengol Gasull, Víctor Mañosa

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

10 Citations (Scopus)

Abstract

There is a method for searching first integrals for polynomial ordinary differential equations (usually called Darboux method) based on the knowledge of several of their invariant algebraic hypersurfaces. We extend this method to discrete dynamical systems, providing a way of searching invariants for them and we give several examples of application.

Original language	English
Pages (from-to)	1171-1191
Journal	Journal of Difference Equations and Applications
Volume	8
Issue number	12
DOIs	https://doi.org/10.1080/1023619021000054042
Publication status	Published - 1 Dec 2002

Keywords

Darboux integrability
Differential equations
Discrete dynamical system
Invariants

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KW - Darboux integrability

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KW - Invariants

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