On stability, persistence, and Hopf bifurcation in fractional order dynamical systems
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- El-Saka, H.A., Ahmed, E., Shehata, M.I. et al. Nonlinear Dyn (2009) 56: 121. doi:10.1007/s11071-008-9383-x
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This is a preliminary study about the bifurcation phenomenon in fractional order dynamical systems. Persistence of some continuous time fractional order differential equations is studied. A numerical example for Hopf-type bifurcation in a fractional order system is given, hence we propose a modification of the conditions of Hopf bifurcation. Local stability of some biologically motivated functional equations is investigated.