Time-delayed feedback control of unstable periodic orbits near a subcritical Hopf bifurcation

Physica D Nonlinear Phenomena ◽

10.1016/j.physd.2010.12.011 ◽

2011 ◽

Vol 240 (9-10) ◽

pp. 859-871 ◽

Author(s):

G. Brown ◽

C.M. Postlethwaite ◽

M. Silber

Keyword(s):

Hopf Bifurcation ◽

Feedback Control ◽

Periodic Orbits ◽

Delayed Feedback ◽

Delayed Feedback Control ◽

Unstable Periodic Orbits ◽

Subcritical Hopf Bifurcation ◽

Time Delayed Feedback

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Stabilizing unstable periodic orbits in reaction-diffusion systems by global time-delayed feedback control

Equadiff 99 ◽

10.1142/9789812792617_0246 ◽

2000 ◽

pp. 1311-1313 ◽

Author(s):

S.M. Zoldi ◽

G. Franceschini ◽

S. Bose ◽

E. Schöll

Keyword(s):

Feedback Control ◽

Periodic Orbits ◽

Reaction Diffusion ◽

Delayed Feedback ◽

Delayed Feedback Control ◽

Unstable Periodic Orbits ◽

Reaction Diffusion Systems ◽

Diffusion Systems ◽

Global Time ◽

Time Delayed Feedback

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Tracking unstable periodic orbits in chaotic systems via time delayed feedback control

Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171) ◽

10.1109/cdc.1998.758603 ◽

2002 ◽

Author(s):

Xinghuo Yu ◽

Guanrong Chen

Keyword(s):

Feedback Control ◽

Periodic Orbits ◽

Chaotic Systems ◽

Delayed Feedback ◽

Delayed Feedback Control ◽

Unstable Periodic Orbits ◽

Time Delayed Feedback

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Stabilizing unstable periodic orbits in the Lorenz equations using time-delayed feedback control

Physical Review E ◽

10.1103/physreve.76.056214 ◽

2007 ◽

Vol 76 (5) ◽

Author(s):

Claire M. Postlethwaite ◽

Mary Silber

Keyword(s):

Feedback Control ◽

Periodic Orbits ◽

Delayed Feedback ◽

Delayed Feedback Control ◽

Unstable Periodic Orbits ◽

Lorenz Equations ◽

Time Delayed Feedback

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Time-delayed feedback control of coherence resonance near subcritical Hopf bifurcation: Theory versus experiment

Chaos An Interdisciplinary Journal of Nonlinear Science ◽

10.1063/1.4915066 ◽

2015 ◽

Vol 25 (3) ◽

pp. 033111 ◽

Author(s):

Vladimir Semenov ◽

Alexey Feoktistov ◽

Tatyana Vadivasova ◽

Eckehard Schöll ◽

Anna Zakharova

Keyword(s):

Hopf Bifurcation ◽

Feedback Control ◽

Bifurcation Theory ◽

Delayed Feedback ◽

Delayed Feedback Control ◽

Coherence Resonance ◽

Subcritical Hopf Bifurcation ◽

Theory Versus ◽

Time Delayed Feedback

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Locating unstable periodic orbits: When adaptation integrates into delayed feedback control

Physical Review E ◽

10.1103/physreve.82.046214 ◽

2010 ◽

Vol 82 (4) ◽

Author(s):

Wei Lin ◽

Huanfei Ma ◽

Jianfeng Feng ◽

Guanrong Chen

Keyword(s):

Feedback Control ◽

Periodic Orbits ◽

Delayed Feedback ◽

Delayed Feedback Control ◽

Unstable Periodic Orbits

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Double Hopf bifurcation of time-delayed feedback control for maglev system

Nonlinear Dynamics ◽

10.1007/s11071-011-0317-7 ◽

2012 ◽

Vol 69 (3) ◽

pp. 961-967 ◽

Author(s):

Lingling Zhang ◽

Zhizhou Zhang ◽

Lihong Huang

Keyword(s):

Hopf Bifurcation ◽

Feedback Control ◽

Delayed Feedback ◽

Delayed Feedback Control ◽

Double Hopf Bifurcation ◽

Maglev System ◽

Time Delayed Feedback

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Detecting unstable periodic orbits based only on time series: When adaptive delayed feedback control meets reservoir computing

Chaos An Interdisciplinary Journal of Nonlinear Science ◽

10.1063/1.5120867 ◽

2019 ◽

Vol 29 (9) ◽

pp. 093125 ◽

Author(s):

Qunxi Zhu ◽

Huanfei Ma ◽

Wei Lin

Keyword(s):

Time Series ◽

Feedback Control ◽

Periodic Orbits ◽

Delayed Feedback ◽

Delayed Feedback Control ◽

Reservoir Computing ◽

Unstable Periodic Orbits

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Time-delayed feedback control of dynamical small-world networks at Hopf bifurcation

Nonlinear Dynamics ◽

10.1007/s11071-009-9485-0 ◽

2009 ◽

Vol 58 (1-2) ◽

pp. 319-344 ◽

Author(s):

Min Xiao ◽

Daniel W. C. Ho ◽

Jinde Cao

Keyword(s):

Hopf Bifurcation ◽

Feedback Control ◽

Small World ◽

Delayed Feedback ◽

Delayed Feedback Control ◽

Small World Networks ◽

Time Delayed Feedback

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Stabilizing Unstable Periodic Orbits via Universal Input?Output Delayed-Feedback Control

Nonlinear Dynamics ◽

10.1007/s11071-005-4575-0 ◽

2005 ◽

Vol 40 (2) ◽

pp. 107-117

Author(s):

Chyun-Chau Fuh ◽

Hsun-Heng Tsai ◽

Pi-Cheng Tung

Keyword(s):

Feedback Control ◽

Periodic Orbits ◽

Delayed Feedback ◽

Delayed Feedback Control ◽

Unstable Periodic Orbits ◽

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Sampled-data delayed feedback control for stabilizing unstable periodic orbits

2015 54th IEEE Conference on Decision and Control (CDC) ◽

10.1109/cdc.2015.7402408 ◽

2015 ◽

Author(s):

Ahmet Cetinkaya ◽

Tomohisa Hayakawa

Keyword(s):

Feedback Control ◽

Periodic Orbits ◽

Delayed Feedback ◽

Delayed Feedback Control ◽

Sampled Data ◽

Unstable Periodic Orbits

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