On stability, persistence, and Hopf bifurcation in fractional order dynamical systems
HA El-Saka, E Ahmed, MI Shehata, AMA El-Sayed - Nonlinear Dynamics, 2009 - Springer
HA El-Saka, E Ahmed, MI Shehata, AMA El-Sayed
Nonlinear Dynamics, 2009•SpringerThis 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.
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.
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.
Springer
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