On Hopf bifurcation of Liu chaotic system

• Autorzy: Yassen M. T. , El-Dessoky M. M. , Saleh E. , Aly E. S.
• Języki publikacji: EN

Abstrakty

EN

In this paper, we analyze the dynamical behaviors of Liu system using the complementary-cluster energy-barrier criterion (CCEBC). Moreover, the Hopf bifurcation of this system is investigated using the first Lyapunov coefficient. Also, it is proved that this system has two Hopf bifurcation points, at which these Hopf bifurcations are nondegenerate and subcritical.

Słowa kluczowe

EN

Hopf bifurcation; Liu system; complementary-cluster energy-barrier criterion; CCEBC; Lyapunov coefficient

PL

bifurkacja Hopfa; system Liu; współczynnik Lapunowa

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2013
• Tom: Vol. 46, nr 1
• Strony: 111--122
• Opis fizyczny: Bibliogr. 21 poz., rys., wykr.

Twórcy

autor

Yassen M. T.

• Mathematics Department, Faculty of Science, Mansoura University, Mansoura, 35516, Egypt

autor

El-Dessoky M. M.

• Mathematics Department, Faculty of Science, King Abdulaziz University P. O. Box 80203, Jeddah 21589, Saudi Arabia

autor

Saleh E.

• Mathematics Department, Faculty of Science, Mansoura University, Mansoura, 35516, Egypt

autor

Aly E. S.

• Mathematics Department, Faculty of Science, Mansoura University, Mansoura, 35516, Egypt

Bibliografia

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