Glasnik matematički, Vol. 53 No. 2, 2018.
Izvorni znanstveni članak
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
Sažetak
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.
Ključne riječi
Polynomial dynamical systems; homogenization; unboundedness
Hrčak ID:
214478
URI
Datum izdavanja:
30.12.2018.
Posjeta: 832 *