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Mathematics and Computers in Simulation, 238 (2025) 383-387. doi:10.1016/j.matcom.2025.06.021 Periodic orbit Averaging theory Zero-Hopf bifurcation Hyperchaotic Polynomial differential system Zero-Hopf bifurcation of a [formula omitted] hyperchaotic quadratic polynomial differential systems Zouhair Diab Juan L.G. Guirao Jaume Llibre VoR 26th July 2025 Acrobat Distiller 8.1.0 (Windows) Periodic orbit,Averaging theory,Zero-Hopf bifurcation,Hyperchaotic,Polynomial differential system 26th July 2025 sciencedirect.com elsevier.com true 2010-04-23 10.1016/j.matcom.2025.06.021 noindex journal © 2025 The Authors. 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