Article
Periodic solutions for a Class of the generalized Hiemenz equation
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Abstract
In this paper, we investigate the zero-Hopf bifurcation in a class of generalized Hiemenz equations. By applying averaging theory, we derive explicit sufficient conditions for the existence of periodic solutions bifurcating from the zero-Hopf equilibrium at the origin. Furthermore, we establish conditions that guarantee the stability of the resulting periodic orbits.
Keywords
Periodic solutions, Hiemenz equation, Ordinary differential equation
Citation
Diab, Z. & Guirao, J. L. (2026). Periodic solutions for a class of the generalized hiemenz equation. Engineering and Its Applications, 3(1), 1–10. https://doi.org/10.66833/EIA-2026-0006
Z. Diab and J. L. Guirao, “Periodic solutions for a class of the generalized hiemenz equation,” Engineering and Its Applications, vol. 3, no. 1, pp. 1–10, 2026, doi: 10.66833/EIA-2026-0006.
Diab Z, Guirao JL. Periodic solutions for a class of the generalized hiemenz equation. Engineering and Its Applications. 2026;3(1):1–10. doi:10.66833/EIA-2026-0006.
Diab, Z. and Guirao, J. L. (2026), ‘Periodic solutions for a class of the generalized hiemenz equation’, Engineering and Its Applications, 3(1), pp. 1–10. Available at: https://doi.org/10.66833/EIA-2026-0006.
Diab, Zouhair, and Juan L.G. Guirao. “Periodic Solutions for a Class of the Generalized Hiemenz Equation.” Engineering and Its Applications, vol. 3, no. 1, 2026, pp. 1–10. https://doi.org/10.66833/EIA-2026-0006.
Diab, Zouhair, and Juan L.G. Guirao. “Periodic Solutions for a Class of the Generalized Hiemenz Equation.” Engineering and Its Applications 3, no. 1 (2026): 1–10. https://doi.org/10.66833/EIA-2026-0006.
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