Open AccessDynamics of a cubic differential advertising model
Author(s) -
Dumitru Cozma,
Vadim Repeșco
Publication year - 2022
Publication title -
acta et commentationes: ştiinţe exacte şi ale naturii
Language(s) - English
Resource type - Journals
eISSN - 2587-3644
pISSN - 2537-6284
DOI - 10.36120/2587-3644.v12i2.63-73
Subject(s) - phase portrait , limit cycle , dynamics (music) , bifurcation , limit (mathematics) , hopf bifurcation , singular point of a curve , differential (mechanical device) , mathematics , amplitude , mathematical analysis , physics , thermodynamics , nonlinear system , quantum mechanics , acoustics
In this paper a cubic differential advertising model with a singular point O(0,0) is studied. The dynamics of the system is investigated and the global phase portraits are obtained. A small amplitude limit cycle is emitted by the Hopf super critical bifurcation.