TYPE-ZERO SADDLE-NODE BIFURCATIONS AND STABILITY REGION ESTIMATION OF NONLINEAR AUTONOMOUS DYNAMICAL SYSTEMS
作者： Fabiolo M Amaral , Luis FC Alberto , None
DOI: 10.1142/S0218127412500204
关键词:
摘要: A complete characterization of the stability boundary a class nonlinear dynamical systems that admit energy functions is developed in this paper. This generalizes existing results by allowing type-zero saddle-node nonhyperbolic equilibrium points on boundary. Conceptual algorithms to obtain optimal estimates region (basin attraction) form level sets given family are derived. The behavior and corresponding investigated for parameter variation neighborhood bifurcation value.
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