Affordable Access

Stability boundary characterization of nonlinear autonomous dynamical systems in the presence of saddle-node equilibrium points

Authors
Journal
TEMA (São Carlos)
1677-1966
Publisher
Brazilian Society for Computational and Applied Mathematics
Publication Date
Keywords
  • Stability Region
  • Stability Boundary
  • Saddle-Node Equilibrium Point
  • Região De Estabilidade
  • Fronteira Da Região De Estabilidade
  • Ponto De Equilíbrio Sela-Nó

Abstract

A dynamical characterization of the stability boundary for a fairly large class of nonlinear autonomous dynamical systems is developed in this paper. This characterization generalizes the existing results by allowing the existence of saddle-node equilibrium points on the stability boundary. The stability boundary of an asymptotically stable equilibrium point is shown to consist of the stable manifolds of the hyperbolic equilibrium points on the stability boundary and the stable, stable center and center manifolds of the saddle-node equilibrium points on the stability boundary.

There are no comments yet on this publication. Be the first to share your thoughts.