DELAY FEEDBACK CONTROL FOR INTERACTION OF HOPF AND PERIOD DOUBLING BIFURCATIONS IN DISCRETE-TIME SYSTEMS

DOI10.1142/S0218127406014617zbMath1101.37314OpenAlexW2011478687MaRDI QIDQ5484838

Gui-Lin Wen, Min-Sen Chiu, Qing-Guo Wang

Publication date: 21 August 2006

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

Full work available at URL: https://doi.org/10.1142/s0218127406014617

zbMATH Keywords

discrete-time systembifurcation controldelay feedbackHopf-flip bifurcationinteraction of Hopf and period doubling bifurcations

Mathematics Subject Classification ID

Feedback control (93B52) Nonlinear systems in control theory (93C10) Discrete-time control/observation systems (93C55) Additive difference equations (39A10) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

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Cites Work

• Local feedback stabilization and bifurcation control. I. Hopf bifurcation
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• Bifurcations from an invariant circle for two-parameter families of maps of the plane: a computer-assisted study
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• Anti-control of Hopf bifurcations
• STUDY OF DEGENERATE BIFURCATIONS IN MAPS: A FEEDBACK SYSTEMS APPROACH
• DESIGNING HOPF BIFURCATIONS INTO NONLINEAR DISCRETE-TIME SYSTEMS VIA FEEDBACK CONTROL
• BIFURCATION DYNAMICS IN CONTROL SYSTEMS
• On creation of Hopf bifurcations in discrete-time nonlinear systems
• Control of degenerate Hopf bifurcations in three-dimensional maps

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