Stability region bifurcations of nonlinear autonomous dynamical systems: Type-zero saddle-node bifurcations

DOI10.1002/rnc.1605zbMath1218.37036OpenAlexW2077161564MaRDI QIDQ3085525

Fabíolo Moraes Amaral, Luis F. C. Alberto

Publication date: 31 March 2011

Published in: International Journal of Robust and Nonlinear Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/rnc.1605

zbMATH Keywords

saddle-node bifurcationbasin of attractionstability regionstability boundaryHopfield artificial neural network

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Bifurcations of singular points in dynamical systems (37G10) Stability theory for smooth dynamical systems (37C75)

Related Items

Saddle-node equilibrium points on the stability boundary of nonlinear autonomous dynamical systems, Bifurcations and Stability Regions of Nonlinear Dynamical Systems, STABILITY BOUNDARY CHARACTERIZATION OF NONLINEAR AUTONOMOUS DYNAMICAL SYSTEMS IN THE PRESENCE OF A SUPERCRITICAL HOPF EQUILIBRIUM POINT, TYPE-ZERO SADDLE-NODE BIFURCATIONS AND STABILITY REGION ESTIMATION OF NONLINEAR AUTONOMOUS DYNAMICAL SYSTEMS, Newton Method and Trajectory-Based Method for Solving Power Flow Problems: Nonlinear Studies

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