Control of the planar Takens-Bogdanov bifurcation with applications

DOI10.1007/S10440-008-9272-9zbMath1205.34040OpenAlexW2033253156MaRDI QIDQ1038717

Francisco A. Carrillo, Fernando Verduzco

Publication date: 20 November 2009

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-008-9272-9

zbMATH Keywords

Takens-Bogdanov bifurcation

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Bifurcation theory for ordinary differential equations (34C23) Bifurcation control of ordinary differential equations (34H20)

Related Items (8)

CONTROLLABLE HOPF BIFURCATIONS OF CODIMENSIONS ONE AND TWO IN LINEAR CONTROL SYSTEMS ⋮ Control of the \(n\)-dimensional Takens-Bogdanov bifurcation with applications ⋮ Takens-Bogdanov bifurcations of equilibria and periodic orbits in the Lorenz system ⋮ Controllable Hopf bifurcations of codimension 1 and 2 in nonlinear control systems ⋮ Control of planar Bautin bifurcation ⋮ ANALYSIS OF THE TAKENS–BOGDANOV BIFURCATION ON m-PARAMETERIZED VECTOR FIELDS ⋮ Bogdanov-Takens bifurcation in a Leslie type tritrophic model with general functional responses ⋮ Steady-state, self-oscillating and chaotic behavior of a PID controlled nonlinear servomechanism by using Bogdanov-Takens and Andronov-Poincaré-Hopf bifurcations

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• Complicated dynamics of prototype continuous-line adaptive control system
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• Introduction to Applied Nonlinear Dynamical Systems and Chaos

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