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Selected publications on

Time delayed feedback control of deterministic systems

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E. Schöll, S. H. L. Klapp, P. Hövel (Editors):
Control of self-organizing nonlinear systems
(Springer, Berlin, 2016)
A. Zakharova, S. Loos, J. Siebert, A. Gjurchinovski, J. C. Claussen, E. Schöll:
Controlling chimera patterns in networks: interplay of structure, noise, and delay
in Control of Self-Organizing Nonlinear Systems, edited by E. Schöll, S. H. L. Klapp, P. Hövel (Springer, Berlin, Heidelberg, 2016)
W. Just, P. M. Geffert, A. Zakharova, E. Schöll:
Noisy dynamical systems with time delay: some basic analytical perturbation schemes with applications
in Control of Self-Organizing Nonlinear Systems, edited by E. Schöll, S. H. L. Klapp, P. Hövel (Springer, Berlin, Heidelberg, 2016)
DOI P. Hövel, J. Lehnert, A. Selivanov, A. L. Fradkov, E. Schöll:
Adaptively controlled synchronization of delay-coupled networks
in Control of Self-Organizing Nonlinear Systems, edited by E. Schöll, S. H. L. Klapp, P. Hövel (Springer, Berlin, Heidelberg, 2016)
DOI
V. Semenov, A. Zakharova, Y. Maistrenko, E. Schöll:
Delayed-feedback chimera states: Forced multiclusters and stochastic resonance
EPL 115, 10005 (2016)
DOI
P. Nestler, E. Schöll, F. Tröltzsch:
Optimization of nonlocal time-delayed feedback controllers
Computational Optimization and Applications (2015) , online10.1007/s10589-015-9809-6
DOI
T. Jüngling, I. Fischer, E. Schöll, W. Just:
Synchronization of heterogeneous oscillators by non-invasive time-delayed cross-coupling
Phys. Rev. Lett. 115, 194101 (2015)
DOI
S. A. Plotnikov, J. Lehnert, A. L. Fradkov, E. Schöll:
Adaptive Control of Synchronization in Delay-Coupled Heterogeneous Networks of FitzHugh-Nagumo Nodes
Int. J. Bifurcation Chaos 26, 1650058 (2016)
DOI
W. Kopylov, C. Emary, E. Schöll, T. Brandes:
Time-delayed feedback control of the Dicke-Hepp-Lieb superradiant quantum phase transition
New. J. Phys. 17, 013040 (2015)
DOI
D. Strehober, E. Schöll, S. H. L. Klapp:
Feedback control of flow alignment in sheared liquid crystals
Phys. Rev. E 88, 062509 (2013)
V. Flunkert, I. Fischer, E. Schöll:
Dynamics, control and information in delay-coupled systems
Theme Issue of Phil. Trans. R. Soc. A 371, 20120465 (2013)
DOI
A. Gjurchinovski, T. Jüngling, V. Urumov, E. Schöll:
Delayed feedback control of unstable steady states with high-frequency modulation of the delay
Phys. Rev. E 88, 032912 (2013)
DOI
S. Zeeb, T. Dahms, V. Flunkert, E. Schöll, I. Kanter, W. Kinzel:
Discontinuous Attractor Dimension at the Synchronization Transition of Time-Delayed Chaotic Systems
Phys. Rev. E 87, 042910 (2013)
DOI
C.-U. Choe, H. Jang, H.-M. Ri, T. Dahms, V. Flunkert, P. Hövel, E. Schöll:
Simultaneous stabilization of periodic orbits and fixed points in delay-coupled Lorenz systems
Cybernetics and Physics 1, 155 (2012)
DOI
C.-U. Choe, H. Jang, V. Flunkert, T. Dahms, P. Hövel, E. Schöll:
Stabilization of Periodic Orbits near a subcritical Hopf Bifurcation in Delay-Coupled Networks
Dyn. Sys. 28, 15 (2013)
E. Schöll:
Synchronization in delay-coupled complex networks
in Advances in Analysis and Control of Time-Delayed Dynamical Systems, (World Scientific, Singapore, 2013)
C. R. S. Williams, F. Sorrentino, T. E. Murphy, R. Roy, T. Dahms, E. Schöll:
Group Synchrony in an Experimental System of Delay-coupled Optoelectronic Oscillators
in Proc. 2012 Internat. Symposium on Nonlinear Theory and its Applications (NOLTA2012), Palma de Mallorca, (IEICE, Japan, 2012)
D. Rontani, D. P. Rosin, D. J. Gauthier, E. Schöll:
Autonomous Time-Delayed Boolean Networks using FPGAs
in Proc. 2012 Internat. Symposium on Nonlinear Theory and its Applications (NOLTA2012), Palma de Mallorca, (IEICE, Japan, 2012)
E. Schöll, J. Lehnert, T. Dahms, A. A. Selivanov, A. L. Fradkov:
Adaptive time-delayed feedback control
in Proc. 2012 Internat. Symposium on Nonlinear Theory and its Applications (NOLTA2012), Palma de Mallorca, (IEICE, Japan, 2012)
DOI
M. Bär, E. Schöll, A. Torcini:
Synchronization and Complex Dynamics of Oscillators with Delayed Pulse Coupling
Angew. Chem. Int. Ed. 51, 9489 (2012)
DOI
Y. N. Kyrychko, K. B. Blyuss, E. Schöll:
Amplitude and phase dynamics in oscillators with distributed-delay coupling
Phil. Trans. R. Soc. A 371, 20120466 (2013)
DOI
A. Keane, T. Dahms, J. Lehnert, S. A. Suryanarayana, P. Hövel, E. Schöll:
Synchronisation in networks of delay-coupled type-I excitable systems
Eur. Phys. J. B 85, 407 (2012)
DOI
A. Panchuk, D. P. Rosin, P. Hövel, E. Schöll:
Synchronization of coupled neural oscillators with heterogeneous delays
Int. J. Bifurcation Chaos 23, 1330039 (2013)
DOI
T. Dahms, J. Lehnert, E. Schöll:
Cluster and group synchronization in delay-coupled networks
Phys. Rev. E 86, 016202 (2012)
DOI
V. Flunkert, E. Schöll:
Chaos and synchronization in delayed systems: applications to laser networks
ESAIM Proc. 39, 40 (2013)
DOI
E. Schöll, A. A. Selivanov, J. Lehnert, T. Dahms, P. Hövel, A. L. Fradkov:
Control of synchronization in delay-coupled networks
Int. J. Mod. Phys. B 26, 1246007 (2012)
DOI
D. Strehober, E. Schöll, S. H. L. Klapp:
Feedback control of flow alignment in a sheared liquid crystal
AIP Conf. Proc. 1493, 552 (2012)
DOI
D. P. Rosin, K. E. Callan, D. J. Gauthier, E. Schöll:
Pulse-train solutions and excitability in an optoelectronic oscillator
Europhys. Lett. 96, 34001 (2011)
DOI
J. Lehnert, P. Hövel, V. Flunkert, P. Y. Guzenko, A. L. Fradkov, E. Schöll:
Adaptive tuning of feedback gain in time-delayed feedback control
Chaos 21, 043111 (2011)
DOI
V. Flunkert, E. Schöll:
Towards easier realization of time-delayed feedback control of odd-number orbits
Phys. Rev. E 84, 016214 (2011)
DOI
V. Flunkert, S. Yanchuk, T. Dahms, E. Schöll:
Synchronizing distant nodes: a universal classification of networks
Phys. Rev. Lett. 105, 254101 (2010)
C.-U. Choe, T. Dahms, P. Hövel, E. Schöll:
Control of synchrony by delay coupling in complex networks
in Proceedings of the Eighth AIMS International Conference on Dynamical Systems, Differential Equations and Applications, (American Institute of Mathematical Sciences, Springfield, MO, USA , 2011) , DCDS Supplement Sept. 2011
DOI
R. Hinz, P. Hövel, E. Schöll:
Transient behavior in systems with time-delayed feedback
Chaos 21, 023114 (2011)
W. Just, A. Pelster, M. Schanz, E. Schöll:
Delayed Complex Systems
Theme Issue of Phil. Trans. R. Soc. A 368, (2010) , pp.301-513
A. Panchuk, M. A. Dahlem, E. Schöll:
Regular spiking in asymmetrically delay-coupled FitzHugh-Nagumo systems
Proc. NDES 09 177 (2009) , arXiv:0911.2071v1
DOI
B. Fiedler, V. Flunkert, P. Hövel, E. Schöll:
Delay stabilization of periodic orbits in coupled oscillator systems
Phil. Trans. R. Soc. A 368, 319 (2010)
DOI P. Hövel, M. A. Dahlem, T. Dahms, G. Hiller, E. Schöll:
Time-delayed feedback control of delay-coupled neurosystems and lasers
in Preprints of the Second IFAC meeting related to analysis and control of chaotic systems (CHAOS09), (World Scientific, 2009)
DOI
C.-U. Choe, T. Dahms, P. Hövel, E. Schöll:
Controlling synchrony by delay coupling in networks: from in-phase to splay and cluster states
Phys. Rev. E 81, 025205(R) (2010)
DOI E. Schöll, H. G. Schuster (Editors):
Handbook of Chaos Control
(Wiley-VCH, Weinheim, 2008) , Second completely revised and enlarged edition
DOI
F. M. Schneider, E. Schöll, M. A. Dahlem:
Controlling the onset of traveling pulses in excitable media by nonlocal spatial coupling and time delayed feedback
Chaos 19, 015110 (2009)
DOI
M. Kehrt, P. Hövel, V. Flunkert, M. A. Dahlem, P. Rodin, E. Schöll:
Stabilization of complex spatio-temporal dynamics near a subcritical Hopf bifurcation by time-delayed feedback
Eur. Phys. J. B 68, 557 (2009)
DOI E. Schöll, P. Hövel, V. Flunkert, M. A. Dahlem:
Time-delayed feedback control: from simple models to lasers and neural systems
in Complex time-delay systems: theory and applications, edited by F. M. Atay (Springer, Berlin, 2010)
DOI
Y. N. Kyrychko, K. B. Blyuss, S. J. Hogan, E. Schöll:
Control of spatio-temporal patterns in the Gray-Scott model
Chaos 19, 043126 (2009)
DOI
K. B. Blyuss, Y. N. Kyrychko, P. Hövel, E. Schöll:
Control of unstable steady states in neutral time-delayed systems
Eur. Phys. J. B 65, 571 (2008)
DOI
Y. N. Kyrychko, K. B. Blyuss, P. Hövel, E. Schöll:
Asymptotic properties of the spectrum of neutral delay differential equations
Dyn. Sys. 24, 361 (2009)
DOI
T. Dahms, P. Hövel, E. Schöll:
Stabilizing continuous-wave output in semiconductor lasers by time-delayed feedback
Phys. Rev. E 78, 056213 (2008)
DOI
E. Schöll, G. Hiller, P. Hövel, M. A. Dahlem:
Time-delayed feedback in neurosystems
Phil. Trans. R. Soc. A 367, 1079 (2009)
M. A. Dahlem, G. Hiller, A. Panchuk, E. Schöll:
Dynamics of delay-coupled excitable neural systems
Int. J. Bifur. Chaos 19, 745 (2009)
DOI
M. A. Dahlem, F. M. Schneider, E. Schöll:
Failure of feedback as a putative common mechanism of spreading depolarizations in migraine and stroke
Chaos 18, 026110 (2008)
DOI
P. Y. Guzenko, P. Hövel, J. Lehnert, V. Flunkert, A. L. Fradkov, E. Schöll:
Adaptive Tuning of Feedback Gain in Time-Delayed Feedback Control
(2008)
DOI
B. Fiedler, S. Yanchuk, V. Flunkert, P. Hövel, H.-J. Wünsche, E. Schöll:
Delay stabilization of rotating waves near fold bifurcation and application to all-optical control of a semiconductor laser
Phys. Rev. E 77, 066207 (2008)
DOI
T. Dahms, P. Hövel, E. Schöll:
Control of unstable steady states by extended time-delayed feedback
Phys. Rev. E 76, 056201 (2007)
DOI
J. Hizanidis, R. Aust, E. Schöll:
Delay-induced multistability near a global bifurcation
Int. J. Bifur. Chaos 18, 1759 (2008)
DOI
C.-U. Choe, V. Flunkert, P. Hövel, H. Benner, E. Schöll:
Conversion of Stability in Systems close to a Hopf Bifurcation by Time-delayed Coupling
Phys. Rev. E 75, 046206 (2007)
E. Schöll:
Delayed feedback control of chaotic spatio-temporal patterns in semiconductor nanostructures
in Handbook of Chaos Control, edited by E. Schöll, H. G. Schuster (Wiley-VCH, Weinheim, 2008) , Second completely revised and enlarged edition
DOI
W. Just, B. Fiedler, V. Flunkert, M. Georgi, P. Hövel, E. Schöll:
Beyond odd number limitation: a bifurcation analysis of time-delayed feedback control
Phys. Rev. E 76, 026210 (2007)
DOI B. Fiedler, V. Flunkert, M. Georgi, P. Hövel, E. Schöll:
Delay stabilization of rotating waves without odd number limitation
in Reviews of nonlinear dynamics and complexity, edited by H. G. Schuster (Wiley-VCH, Weinheim, 2008)
DOI B. Fiedler, V. Flunkert, M. Georgi, P. Hövel, E. Schöll:
Beyond the odd number limitation of time-delayed feedback control
in Handbook of Chaos Control, edited by E. Schöll, H. G. Schuster (Wiley-VCH, Weinheim, 2008) , Second completely revised and enlarged edition
URL
B. Fiedler, V. Flunkert, M. Georgi, P. Hövel, E. Schöll:
Refuting the odd number limitation of time-delayed feedback control
Phys. Rev. Lett. 98, 114101 (2007)
DOI
A. Amann, E. Schöll, W. Just:
Some basic remarks on eigenmode expansions of time-delay dynamics
Physica A 373, 191 (2007)
URL
J. Schlesner, V. Zykov, H. Engel, E. Schöll:
Stabilization of unstable rigid rotation of spiral waves in excitable media
Phys. Rev. E 74, 046215 (2006)
DOI
S. Schikora, P. Hövel, H.-J. Wünsche, E. Schöll, F. Henneberger:
All-optical noninvasive control of unstable steady states in a semiconductor laser
Phys. Rev. Lett. 97, 213902 (2006)
URL
S. Yanchuk, M. Wolfrum, P. Hövel, E. Schöll:
Control of unstable steady states by long delay feedback
Phys. Rev. E 74, 026201 (2006)
URL
P. Hövel, E. Schöll:
Control of unstable steady states by time-delayed feedback methods
Phys. Rev. E 72, 046203 (2005)
URL
A. G. Balanov, N. B. Janson, E. Schöll:
Delayed feedback control of chaos: Bifurcation analysis
Phys. Rev. E 71, 016222 (2005)
DOI
E. Schöll:
Pattern formation in semiconductors: control of spatio-temporal dynamics
Ann. Phys. (Leipzig) 13, 403 (2004) , Special Topic Issue, ed. by R. Friedrich, T. Kuhn and S. Linz
DOI W. Just, H. Benner, E. Schöll:
Control of chaos by time--delayed feedback: a survey of theoretical and experimental aspects
in Advances in Solid State Physics, edited by B. Kramer (Springer, Berlin, 2003)
URL
J. Schlesner, A. Amann, N. B. Janson, W. Just, E. Schöll:
Self-stabilization of high frequency oscillations in semiconductor superlattices by time--delay autosynchronization
Phys. Rev. E 68, 066208 (2003)
URL
J. Unkelbach, A. Amann, W. Just, E. Schöll:
Time--delay autosynchronization of the spatiotemporal dynamics in resonant tunneling diodes
Phys. Rev. E 68, 026204 (2003)
URL
W. Just, S. Popovich, A. Amann, N. Baba, E. Schöll:
Improvement of time--delayed feedback control by periodic modulation: Analytical theory of Floquet mode control scheme
Phys. Rev. E 67, 026222 (2003)
URL
N. Baba, A. Amann, E. Schöll, W. Just:
Giant improvement of time-delayed feedback control by spatio-temporal filtering
Phys. Rev. Lett. 89, 074101 (2002)
URL
O. Beck, A. Amann, E. Schöll, J. E. S. Socolar, W. Just:
Comparison of time-delayed feedback schemes for spatio-temporal control of chaos in a reaction-diffusion system with global coupling
Phys. Rev. E 66, 016213 (2002)
URL
G. Franceschini, S. Bose, E. Schöll:
Control of chaotic spatiotemporal spiking by time-delay autosynchronisation
Phys. Rev. E 60, 5426 (1999)
D. P. Cooper, E. Schöll:
Tunable Real Space Transfer Oscillator by Delayed Feedback Control of Chaos
Z. f. Naturforsch. 50a, 117 (1995)
E. Schöll, K. Pyragas, D. Cooper, R. Döttling:
Tuning of semiconductor oscillators by chaos control
Semicond. Sci. Technol. 9, 559 (1994)
D. Reznik, E. Schöll:
Oscillation modes, transient chaos and its control in a modulation-doped semiconductor double-heterostructure
Z. Phys. B 91, 309 (1993)
DOI
E. Schöll, K. Pyragas:
Tunable semiconductor oscillator based on self-control of chaos in the dynamic Hall effect
Europhys. Lett. 24, 159 (1993)

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