Zero-Hopf bifurcation of a 5D hyperchaotic quadratic polynomial differential systems

Zouhair Diab, Juan L.G. Guirao and Jaume Llibre

Mathematics and Computers in Simulation (MATCOM), 2025, vol. 238, issue C, 383-387

Abstract: A zero-Hopf equilibrium of a 5-dimensional autonomous differential system is an equilibrium point for which the Jacobian matrix of the system evaluated at that equilibrium has three zero eigenvalues and a pair of purely imaginary eigenvalues.

Keywords: Periodic orbit; Averaging theory; Zero-Hopf bifurcation; Hyperchaotic; Polynomial differential system (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:238:y:2025:i:c:p:383-387

DOI: 10.1016/j.matcom.2025.06.021

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