The averaging theory of third order shows that for a 4-dimensional Quartic Polynomial Differential System at most 36 limit cycles can bifurcate from one singularity with eigenvalues of the form ±ωi, 0 and 0.
Bouaziz, C., Makhlouf, A., & Tabet, A. (2024). ZERO-HOPF BIFURCATION IN A FOUR-DIMENSIONAL QUARTIC POLYNOMIAL DIFFERENTIAL SYSTEM VIA AVERAGING THEORY OF THIRD ORDER. Computational Methods for Differential Equations, (), -. doi: 10.22034/cmde.2024.61831.2690
MLA
Chamseddine Bouaziz; Amar Makhlouf; Achref Eddine Tabet. "ZERO-HOPF BIFURCATION IN A FOUR-DIMENSIONAL QUARTIC POLYNOMIAL DIFFERENTIAL SYSTEM VIA AVERAGING THEORY OF THIRD ORDER". Computational Methods for Differential Equations, , , 2024, -. doi: 10.22034/cmde.2024.61831.2690
HARVARD
Bouaziz, C., Makhlouf, A., Tabet, A. (2024). 'ZERO-HOPF BIFURCATION IN A FOUR-DIMENSIONAL QUARTIC POLYNOMIAL DIFFERENTIAL SYSTEM VIA AVERAGING THEORY OF THIRD ORDER', Computational Methods for Differential Equations, (), pp. -. doi: 10.22034/cmde.2024.61831.2690
VANCOUVER
Bouaziz, C., Makhlouf, A., Tabet, A. ZERO-HOPF BIFURCATION IN A FOUR-DIMENSIONAL QUARTIC POLYNOMIAL DIFFERENTIAL SYSTEM VIA AVERAGING THEORY OF THIRD ORDER. Computational Methods for Differential Equations, 2024; (): -. doi: 10.22034/cmde.2024.61831.2690