Delayed feedback control of the Lorenz system: An analytical treatment at a subcritical Hopf bifurcation

Physical Review E ◽

10.1103/physreve.73.036215 ◽

2006 ◽

Vol 73 (3) ◽

Author(s):

V. Pyragas ◽

K. Pyragas

Keyword(s):

Hopf Bifurcation ◽

Feedback Control ◽

Lorenz System ◽

Delayed Feedback ◽

Delayed Feedback Control ◽

Analytical Treatment ◽

Subcritical Hopf Bifurcation ◽

The Lorenz System

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An analytical treatment of the delayed feedback control algorithm at a subcritical Hopf bifurcation

Lithuanian Journal of Physics ◽

10.3952/lithjphys.45603 ◽

2005 ◽

Vol 45 (6) ◽

pp. 457-461

Author(s):

Viktoras Pyragas ◽

Kęstutis Pyragas

Keyword(s):

Hopf Bifurcation ◽

Feedback Control ◽

Control Algorithm ◽

Delayed Feedback ◽

Delayed Feedback Control ◽

Analytical Treatment ◽

Subcritical Hopf Bifurcation

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Delayed feedback control of dynamical systems at a subcritical Hopf bifurcation

Physical Review E ◽

10.1103/physreve.70.056222 ◽

2004 ◽

Vol 70 (5) ◽

Author(s):

K. Pyragas ◽

V. Pyragas ◽

H. Benner

Keyword(s):

Hopf Bifurcation ◽

Dynamical Systems ◽

Feedback Control ◽

Delayed Feedback ◽

Delayed Feedback Control ◽

Subcritical Hopf Bifurcation

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Analytical treatment of the delayed feedback controlled Lorenz system close to a subcritical Hopf bifurcation

Lithuanian Journal of Physics ◽

10.3952/lithjphys.48109 ◽

2008 ◽

Vol 48 (1) ◽

pp. 5-16

Author(s):

V. Pyragas

Keyword(s):

Hopf Bifurcation ◽

Lorenz System ◽

Delayed Feedback ◽

Analytical Treatment ◽

Subcritical Hopf Bifurcation

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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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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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Global Effects of Time-Delayed Feedback Control Applied to the Lorenz System

Understanding Complex Systems - Control of Self-Organizing Nonlinear Systems ◽

10.1007/978-3-319-28028-8_5 ◽

2016 ◽

pp. 81-103 ◽

Author(s):

Anup S. Purewal ◽

Bernd Krauskopf ◽

Claire M. Postlethwaite

Keyword(s):

Feedback Control ◽

Lorenz System ◽

Delayed Feedback ◽

Delayed Feedback Control ◽

The Lorenz System ◽

Time Delayed Feedback

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An Analytical Treatment of the Delayed Feedback Control Algorithm

Handbook of Chaos Control ◽

10.1002/9783527622313.ch3 ◽

2008 ◽

pp. 47-71

Author(s):

Kestutis Pyragas ◽

Tatjana Pyragien ◽

Viktoras Pyragas

Keyword(s):

Feedback Control ◽

Control Algorithm ◽

Delayed Feedback ◽

Delayed Feedback Control ◽

Analytical Treatment

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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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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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Stability and Hopf bifurcation analysis of novel hyperchaotic system with delayed feedback control

10.1002/cplx.21678 ◽

2015 ◽

Vol 21 (6) ◽

pp. 180-193 ◽

Author(s):

Mani Prakash ◽

Pagavathigounder Balasubramaniam

Keyword(s):

Hopf Bifurcation ◽

Feedback Control ◽

Bifurcation Analysis ◽

Delayed Feedback ◽

Delayed Feedback Control ◽

Hyperchaotic System

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