Original scientific paper

https://doi.org/10.3336/gm.53.2.07

On unbounded polynomial dynamical systems

Hamza Boujemaa orcid.org/0000-0001-8117-7227 ; Département de Mathématiques, Mohammed V University in Rabat, 1014RP Rabat, Morocco
Said El Qotbi ; Systèmes Dynamiques, A3D, Mohammed V University in Rabat, 1014RP Rabat, Morocco

Abstract

Suppose given a polynomial dynamical system of degree m. It is known that if the algebra associated to the corresponding homogeneous dynamical system of degree m has an idempotent element then the original dynamical system is unbounded. In this work, we give a sufficient condition ensuring the unboundedness even when there is no idempotent. Some applications are also given.

Keywords

Polynomial dynamical systems; homogenization; unboundedness

Hrčak ID:

214478

URI

https://hrcak.srce.hr/214478

Publication date:

30.12.2018.

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