Artículos de revistas
Stability region bifurcations of nonlinear autonomous dynamical systems: Type-zero saddle-node bifurcations
Fecha
2011Registro en:
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, v.21, n.6, p.591-612, 2011
1049-8923
10.1002/rnc.1605
Autor
AMARAL, F. M.
ALBERTO, L. F. C.
Institución
Resumen
The behavior of stability regions of nonlinear autonomous dynamical systems subjected to parameter variation is studied in this paper. In particular, the behavior of stability regions and stability boundaries when the system undergoes a type-zero sadle-node bifurcation on the stability boundary is investigated in this paper. It is shown that the stability regions suffer drastic changes with parameter variation if type-zero saddle-node bifurcations occur on the stability boundary. A complete characterization of these changes in the neighborhood of a type-zero saddle-node bifurcation value is presented in this paper. Copyright (C) 2010 John Wiley & Sons, Ltd.