Dynamics of a cubic differential advertising mo
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Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis (243)
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COZMA, Dumitru, REPEŞCO, Vadim. Dynamics of a cubic differential advertising mo. In: Acta et commentationes (Ştiinţe Exacte și ale Naturii), 2021, nr. 2(12), pp. 63-73. ISSN 2537-6284. DOI: https://doi.org/10.36120/2587-3644.v12i2.63-73
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Acta et commentationes (Ştiinţe Exacte și ale Naturii)
Numărul 2(12) / 2021 / ISSN 2537-6284 /ISSNe 2587-3644

Dynamics of a cubic differential advertising mo

Dinamica unui model diferential cubic de publicitate

DOI:https://doi.org/10.36120/2587-3644.v12i2.63-73
CZU: 517.925
MSC 2010: 34C05.

Pag. 63-73

Cozma Dumitru, Repeşco Vadim
 
Tiraspol State University
 
 
Disponibil în IBN: 10 februarie 2022


Rezumat

In this paper a cubic differential advertising model with a singular point 0(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 supercritical bifurcation.

În lucrare este studiat un model diferential cubic de publicitate cu un punct singular 0(0.0) . Se studiaza dinamica sistemului si se obtin portretele globale de faza. Un ciclu limita de amplitudine mica este obtinut la bifurcatia Hopf supercritica.

Cuvinte-cheie
Cubic differential system, advertising model, Hopf bifurcation, phase portrait,

sistem diferențial cubic, model de publicitate, bifurcatie Hopf, portret de faza

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