Periodic solutions for a class of Duffing differential equations via averaging theory

DOI10.1007/s12591-023-00651-0MaRDI QIDQ6667668

Afef Amina Rabia, Amar Makhlouf

Publication date: 20 January 2025

Published in: Differential Equations and Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

periodic solutionsaveraging theoryDuffing differential equation

Mathematics Subject Classification ID

Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Symmetries and invariants of dynamical systems (37C79)

Cites Work

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• On the existence of periodic solution and the transition to chaos of Rayleigh-Duffing equation with application of gyro dynamic
• Averaging methods in nonlinear dynamical systems
• Periodic solutions for a class of Duffing differential equations

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