Control of oscillations from the \(k\)-zero bifurcation

DOI10.1016/J.CHAOS.2006.01.030zbMath1136.93021OpenAlexW2054014331MaRDI QIDQ2468160

Fernando Verduzco

Publication date: 30 January 2008

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2006.01.030

zbMATH Keywords

Hopf bifurcation points and control oscillationsoscillations in nonlinear control systems

Mathematics Subject Classification ID

Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Nonlinear systems in control theory (93C10) Automated systems (robots, etc.) in control theory (93C85) Linearizations (93B18) Dynamical systems in control (37N35) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Cites Work

• Local feedback stabilization and bifurcation control. I. Hopf bifurcation
• Versal deformation of a singular point of a vector field on the plane in the case of zero eigenvalues
• Hopf bifurcation control: a new approach
• Bifurcations associated with a three-fold zero eigenvalue
• BIFURCATION ANALYSIS OF A 2-DOF ROBOT MANIPULATOR DRIVEN BY CONSTANT TORQUES
• Analysis and Control of Hopf Bifurcations
• Introduction to Applied Nonlinear Dynamical Systems and Chaos
• Computation of Normal Forms of Differential Equations Associated with Non-Semisimple Zero Eigenvalues
• BIFURCATION ANALYSIS AND CONTROL OF NONLINEAR SYSTEMS WITH A NONSEMISIMPLE ZERO AT CRITICALITY AND APPLICATION
• On generic dynamics related to a 3-fold zero eigenvalue

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