STABILITY BOUNDARY CHARACTERIZATION OF NONLINEAR AUTONOMOUS DYNAMICAL SYSTEMS IN THE PRESENCE OF A SUPERCRITICAL HOPF EQUILIBRIUM POINT

DOI10.1142/S0218127413501964zbMath1284.34097OpenAlexW2079345229MaRDI QIDQ5407272

F. C. Alberto Luís, Josaphat R. R. Jun. Gouveia, Moraes Amaral Fabíolo

Publication date: 7 April 2014

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127413501964

zbMATH Keywords

nonlinear systemsstability regionstability boundaryHopf equilibrium point

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20) Attractors of solutions to ordinary differential equations (34D45)

Related Items (2)

Saddle-node equilibrium points on the stability boundary of nonlinear autonomous dynamical systems ⋮ Bifurcations and Stability Regions of Nonlinear Dynamical Systems

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
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• On Morse-Smale dynamical systems
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• On the estimation of asymptotic stability regions: State of the art and new proposals
• On vanishing stability regions in nonlinear systems with high-gain feedback
• Foundations of direct methods for power system transient stability analysis
• Stability regions of nonlinear autonomous dynamical systems
• Introduction to Applied Nonlinear Dynamical Systems and Chaos
• Differentiable dynamical systems
• Invariant manifolds
• Unnamed Item

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