Hopf bifurcations and small amplitude limit cycles in Rucklidge systems

Electronic Journal of Differential Equations

关键词: Rucklidge system;    limit cycle;    stability;    Lyapunov coefficient;   

DOI  :  

来源: DOAJ

【 摘 要 】

In this article we study Hopf bifurcations and small amplitude limitcycles in a family of quadratic systems in the three dimensionalspace called Rucklidge systems.Bifurcation analysis at the equilibria of Rucklidge system is pushedforward toward the calculation of the second Lyapunov coefficient,which makes possible the determination of the Lyapunov and higherorder structural stability.

【 授权许可】

Unknown