Article
The zero-Hopf bifurcations of a new hyperchaotic system
Authors
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Abstract
The aim of this work is to study the existence of zero-Hopf bifurcations of a new hyperchaotic system, using the averaging theory of dynamical systems of second order. Furthermore, at most one periodic orbit can bifurcate from the origin of coordinates.
Keywords
Averaging theory, zero–Hopf bifurcation, periodic orbits, hyperchaotic system, equilibrium, 37G15, 37G10, 34C07
Citation
Diab, Z., Teresa de Bustos, M., López, M. A., & Martínez, R. (2023). The zero-hopf bifurcations of a new hyperchaotic system. Applied Mathematics and Nonlinear Sciences, 8(1), 2251–2260. https://doi.org/10.2478/amns.2023.1.00409
Z. Diab, M. Teresa de Bustos, M. A. López and R. Martínez, “The zero-hopf bifurcations of a new hyperchaotic system,” Applied Mathematics and Nonlinear Sciences, vol. 8, no. 1, pp. 2251–2260, 2023, doi: 10.2478/amns.2023.1.00409.
Diab Z, Teresa de Bustos M, López MA, Martínez R. The zero-hopf bifurcations of a new hyperchaotic system. Applied Mathematics and Nonlinear Sciences. 2023;8(1):2251–2260. doi:10.2478/amns.2023.1.00409.
Diab, Z., Teresa de Bustos, M., López, M. A. and Martínez, R. (2023), ‘The zero-hopf bifurcations of a new hyperchaotic system’, Applied Mathematics and Nonlinear Sciences, 8(1), pp. 2251–2260. Available at: https://doi.org/10.2478/amns.2023.1.00409.
Diab, Zouhair, et al. “The Zero-hopf Bifurcations of a New Hyperchaotic System.” Applied Mathematics and Nonlinear Sciences, vol. 8, no. 1, 2023, pp. 2251–2260. https://doi.org/10.2478/amns.2023.1.00409.
Diab, Zouhair, M. Teresa de Bustos, Miguel A. López, and Raquel Martínez. “The Zero-hopf Bifurcations of a New Hyperchaotic System.” Applied Mathematics and Nonlinear Sciences 8, no. 1 (2023): 2251–2260. https://doi.org/10.2478/amns.2023.1.00409.
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