Abstract: In this paper, we study saddle-node bifurcation and its robustness analysis for a class of nonlinear systems with dynamic uncertainties. First, we formulate a robust bifurcation analysis ...

Abstract: This paper presents a method to compute the saddle-node bifurcation points (SNB) of distribution networks and verifies the existence of saddle-node bifurcations in 3-phase distribution ...

Dynamic analysis of cable-stayed bridges and suspended cables is crucial for ensuring structural safety and longevity in the face of varied environmental and loading conditions. Recent advances have ...

ABSTRACT: In power systems, the Hopf bifurcation (HB) can occur before the saddle-node bifurcation (SNB) and be-comes one of main reasons of voltage instability and collapse, so the bifurcation ...

[[1]](To appear) : "Proving the existence of localized patterns and saddle node bifurcations in 1D activiator-inhibitor type models", D. Blanco, M. Cadiot, and D. Fassler, [ArXiv Link](To appear). It ...

SIAM Journal on Applied Mathematics, Vol. 68, No. 4 (2008), pp. 1045-1079 (35 pages) In this paper we define a class of formal neuron models being computationally efficient and biologically plausible, ...