Analysis of non-hyperbolic equilibria for Caputo fractional system

Document Type : Research Paper

Author

Department of Mathematics, Ryerson University, Toronto, Canada.

Abstract

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.

Keywords

References

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Computational Methods for Differential Equations
Volume 10, Issue 2
April 2022
Pages 298-306

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History

  • Receive Date: 29 August 2020
  • Revise Date: 03 February 2021
  • Accept Date: 07 February 2021

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