Cubic nonlinear differential system, their periodic solutions and bifurcation analysis

DOI10.3934/MATH.2021655OpenAlexW3192199755MaRDI QIDQ2671141

Saima Akram, Allah Nawaz, Mariam Rehman

Publication date: 3 June 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2021655

zbMATH Keywords

multiplicityperiodic solutionslimit cyclebifurcation methodfocal valuesalgebraic and trigonometric coefficients

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) 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

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• Existence of three periodic solutions for a quasilinear periodic boundary value problem
• Existence of multiple periodic solutions for cubic nonautonomous differential equation
• Limit Cycles for a Class of Abel Equations
• Non-autonomous equations related to polynomial two-dimensional systems
• The Number of Periodic Solutions of the Equation Ż=z ^N +p ₁ (t )z ^{N −1} +…+p _N (t )

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