CHARACTERIZATION OF STATIC BIFURCATIONS IN THE FREQUENCY DOMAIN

DOI10.1142/S0218127401002353zbMath1090.34546MaRDI QIDQ5474175

Jorge L. Moiola, Griselda R. Itovich

Publication date: 23 June 2006

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

Mathematics Subject Classification ID

Feedback control (93B52) Bifurcation theory for ordinary differential equations (34C23) Control problems involving ordinary differential equations (34H05) Bifurcations of singular points in dynamical systems (37G10)

Related Items (4)

CHARACTERIZATION OF STATIC BIFURCATIONS FOR MAPS IN THE FREQUENCY DOMAIN ⋮ Double Hopf bifurcation analysis using frequency domain methods ⋮ Characterization of static bifurcations for n-dimensional flows in the frequency domain ⋮ CHARACTERIZATION OF DYNAMIC BIFURCATIONS IN THE FREQUENCY DOMAIN

Cites Work

• Local feedback stabilization and bifurcation control. II: Stationary bifurcation
• Local feedback stabilization and bifurcation control. I. Hopf bifurcation
• Bifurcation test functions and surge control for axial flow compressors
• Characteristic gains, characteristic frequencies and stability
• The Hopf bifurcation theorem and its applications to nonlinear oscillations in circuits and systems
• Extended Quadratic Controller Normal Form and Dynamic State Feedback Linearization of Nonlinear Systems
• The generalized Nyquist stability criterion and multivariable root loci
• Analysis of static and dynamic bifurcations from a feedback systems perspective
• FREQUENCY DOMAIN APPROACH TO COMPUTATION AND ANALYSIS OF BIFURCATIONS AND LIMIT CYCLES: A TUTORIAL
• Bifurcation and Normal Form of Nonlinear Control Systems, Part I
• Global first harmonic bifurcation diagram for odd piecewise linear control systems
• Phase portraits of planar control systems

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