, Volume 56, Issue 1-2, pp 121-126
Date: 16 Jul 2008

On stability, persistence, and Hopf bifurcation in fractional order dynamical systems

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Abstract

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.