Analysis of non-hyperbolic equilibria for Caputo fractional system

Document Type : Research Paper


Department of Mathematics, Ryerson University, Toronto, Canada.


In this manuscript, a center manifold reduction of the flow of a non-hyperbolic equilibrium point on a planar dynamical system with the Caputo derivative is proposed. The stability of the non-hyperbolic equilibrium point is shown to be locally asymptotically stable, under suitable conditions, by using the fractional Lyapunov direct method.


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