ABSTRACT.
The behavior of the stability region of dynamic systems subject to parameter variation is studied in this paper. The behavior of the stability region and its boundary when the system undergoes a type-k saddle-node bifurcation, with k≥0 on the stability boundary is investigated. A complete characterization of the stability boundary in the neighborhood of a type-k saddle-node bifurcation value, with k≥0 is presented in this paper.
Keywords:
stability region; stability boundary; saddle-node bifurcation.