A Global Bifurcation Analysis of the Subcritical Hopf Normal Form Subject to Pyragas Time-Delayed Feedback Control

A. S. Purewal; C. M. Postlethwaite; B. Krauskopf

doi:10.1137/130949804

A Global Bifurcation Analysis of the Subcritical Hopf Normal Form Subject to Pyragas Time-Delayed Feedback Control

SIAM Journal on Applied Dynamical Systems ◽

10.1137/130949804 ◽

2014 ◽

Vol 13 (4) ◽

pp. 1879-1915 ◽

Cited By ~ 8

Author(s):

A. S. Purewal ◽

C. M. Postlethwaite ◽

B. Krauskopf

Keyword(s):

Feedback Control ◽

Normal Form ◽

Bifurcation Analysis ◽

Global Bifurcation ◽

Delayed Feedback ◽

Delayed Feedback Control ◽

Time Delayed Feedback

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Bifurcation analysis for Hindmarsh-Rose neuronal model with time-delayed feedback control and application to chaos control

Science China Technological Sciences ◽

10.1007/s11431-014-5535-z ◽

2014 ◽

Vol 57 (5) ◽

pp. 872-878 ◽

Cited By ~ 42

Author(s):

HaiXia Wang ◽

QingYun Wang ◽

YanHong Zheng

Keyword(s):

Feedback Control ◽

Bifurcation Analysis ◽

Chaos Control ◽

Neuronal Model ◽

Delayed Feedback ◽

Delayed Feedback Control ◽

Time Delayed Feedback

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Beyond the odd number limitation: A bifurcation analysis of time-delayed feedback control

Physical Review E ◽

10.1103/physreve.76.026210 ◽

2007 ◽

Vol 76 (2) ◽

Cited By ~ 68

Author(s):

W. Just ◽

B. Fiedler ◽

M. Georgi ◽

V. Flunkert ◽

P. Hövel ◽

...

Keyword(s):

Feedback Control ◽

Bifurcation Analysis ◽

Delayed Feedback ◽

Delayed Feedback Control ◽

Odd Number Limitation ◽

Time Delayed Feedback

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Giant Improvement of Time-Delayed Feedback Control by Spatio-Temporal Filtering

Physical Review Letters ◽

10.1103/physrevlett.89.074101 ◽

2002 ◽

Vol 89 (7) ◽

Cited By ~ 79

Author(s):

Nilüfer Baba ◽

Andreas Amann ◽

Eckehard Schöll ◽

Wolfram Just

Keyword(s):

Feedback Control ◽

Delayed Feedback ◽

Delayed Feedback Control ◽

Temporal Filtering ◽

Spatio Temporal ◽

Time Delayed Feedback

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Time-delayed feedback control of diffusion in random walkers

Physical Review E ◽

10.1103/physreve.96.012148 ◽

2017 ◽

Vol 96 (1) ◽

Cited By ~ 2

Author(s):

Hiroyasu Ando ◽

Kohta Takehara ◽

Miki U. Kobayashi

Keyword(s):

Feedback Control ◽

Delayed Feedback ◽

Delayed Feedback Control ◽

Random Walkers ◽

Time Delayed Feedback

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Stability and Response of Quasi Integrable Hamiltonian Systems with Time-Delayed Feedback Control

IUTAM Book Series - Iutam Symposium on Dynamics and Control of Nonlinear Systems with Uncertainty ◽

10.1007/978-1-4020-6332-9_39 ◽

2007 ◽

pp. 383-392 ◽

Cited By ~ 1

Author(s):

W. Q. Zhu ◽

Z. H. Liu

Keyword(s):

Feedback Control ◽

Hamiltonian Systems ◽

Delayed Feedback ◽

Delayed Feedback Control ◽

Integrable Hamiltonian Systems ◽

Time Delayed Feedback

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Time Delayed Feedback Control of Internet Congestion Control Model with Compound TCP under RED

Proceedings of the International Conference on Logistics, Engineering, Management and Computer Science ◽

10.2991/lemcs-15.2015.8 ◽

2015 ◽

Author(s):

Han Wang ◽

Dawei Ding ◽

Tianren Cao ◽

Rui Sun

Keyword(s):

Feedback Control ◽

Congestion Control ◽

Control Model ◽

Delayed Feedback ◽

Delayed Feedback Control ◽

Internet Congestion Control ◽

Internet Congestion ◽

Time Delayed Feedback

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Numerical time-delayed feedback control in a neural network with delay

The Journal of Difference Equations and Applications ◽

10.1080/10236198.2016.1246545 ◽

2016 ◽

Vol 22 (12) ◽

pp. 1800-1815 ◽

Cited By ~ 1

Author(s):

Yuanyuan Wang

Keyword(s):

Neural Network ◽

Feedback Control ◽

Delayed Feedback ◽

Delayed Feedback Control ◽

Time Delayed Feedback

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Time-delayed feedback control of a flashing ratchet

Physical Review E ◽

10.1103/physreve.76.061113 ◽

2007 ◽

Vol 76 (6) ◽

Cited By ~ 44

Author(s):

M. Feito ◽

F. J. Cao

Keyword(s):

Feedback Control ◽

Delayed Feedback ◽

Delayed Feedback Control ◽

Flashing Ratchet ◽

Time Delayed Feedback

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Time-Delayed Feedback Control

Springer Theses - Control of Complex Nonlinear Systems with Delay ◽

10.1007/978-3-642-14110-2_2 ◽

2010 ◽

pp. 11-41

Author(s):

Philipp Hövel

Keyword(s):

Feedback Control ◽

Delayed Feedback ◽

Delayed Feedback Control ◽

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 ◽

Cited By ~ 2

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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