Fifteen limit cycles bifurcating from a perturbed cubic center

DOI10.1155/2021/8178729zbMath1486.34077OpenAlexW3217504958MaRDI QIDQ2065439

Sahar Ahmed Idris, Mufda Alrawashdeh, Hala Abd-Elmageed, Amor Menaceur

Publication date: 7 January 2022

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2021/8178729

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Averaging method for ordinary differential equations (34C29) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07)

Cites Work

• Bifurcation of limit cycles in a quintic system with ten parameters
• On the number of limit cycles of a perturbed cubic polynomial differential center
• Limit cycles of cubic polynomial vector fields via the averaging theory
• On the nonexistence, existence and uniqueness of limit cycles
• Averaging methods in nonlinear dynamical systems
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