On the existence of periodic solution and the transition to chaos of Rayleigh-Duffing equation with application of gyro dynamic

DOI10.2478/amns.2020.1.00010OpenAlexW3014137513MaRDI QIDQ2690688

Mohamed El-Borhamy, Nahla Mosalam

Publication date: 17 March 2023

Published in: Applied Mathematics and Nonlinear Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/amns.2020.1.00010

zbMATH Keywords

periodic solutionsbifurcationchaotic dynamicnonlinear ordinary differential equationsstability theorygyroscope

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Nonlinear ordinary differential operators (34L30) Stability theory for smooth dynamical systems (37C75) Motion of the gyroscope (70E05) Bifurcation of solutions to ordinary differential equations involving randomness (34F10)

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