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1.
Controlling surface morphologies by timedelayed feedback
Open Access
Title:
Controlling surface morphologies by timedelayed feedback
Author:
Block, M.
;
Schmittmann, B.
;
Schoell, E.
Block, M.
;
Schmittmann, B.
;
Schoell, E.
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Description:
We propose a new method to control the roughness of a growing surface, via a timedelayed feedback scheme. As an illustration, we apply this method to the KardarParisiZhang equation in 1+1 dimensions and show that the effective growth exponent of the surface width can be stabilized at any desired value in the interval [0.25,0.33], for a signif...
We propose a new method to control the roughness of a growing surface, via a timedelayed feedback scheme. As an illustration, we apply this method to the KardarParisiZhang equation in 1+1 dimensions and show that the effective growth exponent of the surface width can be stabilized at any desired value in the interval [0.25,0.33], for a significant length of time. The method is quite general and can be applied to a wide range of growth phenomena. A possible experimental realization is suggested. ; Comment: 4 pages, 3 figures
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Year of Publication:
20070109
Document Type:
text
Subjects:
Condensed Matter  Materials Science
Condensed Matter  Materials Science
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URL:
http://arxiv.org/abs/condmat/0701171
http://arxiv.org/abs/condmat/0701171
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Content Provider:
ArXiv.org (Cornell University Library)
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2.
Noiseinduced cooperative dynamics and its control in coupled neuron models
Open Access
Title:
Noiseinduced cooperative dynamics and its control in coupled neuron models
Author:
Hauschildt, B.
;
Janson, N. B.
;
Balanov, A.
;
Schoell, E.
Hauschildt, B.
;
Janson, N. B.
;
Balanov, A.
;
Schoell, E.
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Description:
We investigate feedback control of the cooperative dynamics of two coupled neural oscillators that is induced merely by external noise. The interacting neurons are modelled as FitzHughNagumo systems with parameter values at which no autonomous oscillations occur, and each unit is forced by its own source of random fluctuations. Application of d...
We investigate feedback control of the cooperative dynamics of two coupled neural oscillators that is induced merely by external noise. The interacting neurons are modelled as FitzHughNagumo systems with parameter values at which no autonomous oscillations occur, and each unit is forced by its own source of random fluctuations. Application of delayed feedback to only one of two subsystems is shown to be able to change coherence and timescales of noise induced oscillations either in the given subsystem, or globally. It is also able to induce or to suppress stochastic synchronization under certain conditions. ; Comment: 12 pages, 17 figures, Phys. Rev. E accepted
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Year of Publication:
20061004
Document Type:
text
Subjects:
Nonlinear Sciences  Chaotic Dynamics
Nonlinear Sciences  Chaotic Dynamics
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URL:
http://arxiv.org/abs/nlin/0610007
http://arxiv.org/abs/nlin/0610007
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ArXiv.org (Cornell University Library)
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3.
Synchronization of networks of oscillators with distributed delay coupling
Open Access
Title:
Synchronization of networks of oscillators with distributed delay coupling
Author:
Kyrychko, Y. N.
;
Blyuss, K. B.
;
Schoell, E.
Kyrychko, Y. N.
;
Blyuss, K. B.
;
Schoell, E.
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Description:
This paper studies the stability of synchronized states in networks where couplings between nodes are characterized by some distributed time delay, and develops a generalized master stability function approach. Using a generic example of StuartLandau oscillators, it is shown how the stability of synchronized solutions in networks with distribut...
This paper studies the stability of synchronized states in networks where couplings between nodes are characterized by some distributed time delay, and develops a generalized master stability function approach. Using a generic example of StuartLandau oscillators, it is shown how the stability of synchronized solutions in networks with distributed delay coupling can be determined through a semianalytic computation of Floquet exponents. The analysis of stability of fully synchronized and of cluster or splay states is illustrated for several practically important choices of delay distributions and network topologies. ; Comment: 18 pages, 4 figures
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Year of Publication:
20140620
Document Type:
text
Subjects:
Nonlinear Sciences  Chaotic Dynamics
Nonlinear Sciences  Chaotic Dynamics
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URL:
http://arxiv.org/abs/1406.5428
http://arxiv.org/abs/1406.5428
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ArXiv.org (Cornell University Library)
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4.
Asymptotic properties of the spectrum of neutral delay differential equations
Open Access
Title:
Asymptotic properties of the spectrum of neutral delay differential equations
Author:
Kyrychko, Y. N.
;
Blyuss, K. B.
;
Hoevel, P.
;
Schoell, E.
Kyrychko, Y. N.
;
Blyuss, K. B.
;
Hoevel, P.
;
Schoell, E.
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Description:
Spectral properties and transition to instability in neutral delay differential equations are investigated in the limit of large delay. An approximation of the upper boundary of stability is found and compared to an analytically derived exact stability boundary. The approximate and exact stability borders agree quite well for the large time dela...
Spectral properties and transition to instability in neutral delay differential equations are investigated in the limit of large delay. An approximation of the upper boundary of stability is found and compared to an analytically derived exact stability boundary. The approximate and exact stability borders agree quite well for the large time delay, and the inclusion of a timedelayed velocity feedback improves this agreement for small delays. Theoretical results are complemented by a numerically computed spectrum of the corresponding characteristic equations. ; Comment: 14 pages, 6 figures
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Year of Publication:
20120128
Document Type:
text
Subjects:
Nonlinear Sciences  Chaotic Dynamics ; Mathematics  Dynamical Systems
Nonlinear Sciences  Chaotic Dynamics ; Mathematics  Dynamical Systems
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URL:
http://arxiv.org/abs/1201.5957
http://arxiv.org/abs/1201.5957
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ArXiv.org (Cornell University Library)
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5.
Control of unstable steady states in neutral timedelayed systems
Open Access
Title:
Control of unstable steady states in neutral timedelayed systems
Author:
Blyuss, K. B.
;
Kyrychko, Y. N.
;
Hoevel, P.
;
Schoell, E.
Blyuss, K. B.
;
Kyrychko, Y. N.
;
Hoevel, P.
;
Schoell, E.
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Description:
We present an analysis of timedelayed feedback control used to stabilize an unstable steady state of a neutral delay differential equation. Stability of the controlled system is addressed by studying the eigenvalue spectrum of a corresponding characteristic equation with two time delays. An analytic expression for the stabilizing control streng...
We present an analysis of timedelayed feedback control used to stabilize an unstable steady state of a neutral delay differential equation. Stability of the controlled system is addressed by studying the eigenvalue spectrum of a corresponding characteristic equation with two time delays. An analytic expression for the stabilizing control strength is derived in terms of original system parameters and the time delay of the control. Theoretical and numerical results show that the interplay between the control strength and two time delays provides a number of regions in the parameter space where the timedelayed feedback control can successfully stabilize an otherwise unstable steady state. ; Comment: 11 pages, 8 figures
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Year of Publication:
20120128
Document Type:
text
Subjects:
Nonlinear Sciences  Chaotic Dynamics ; Mathematics  Dynamical Systems
Nonlinear Sciences  Chaotic Dynamics ; Mathematics  Dynamical Systems
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URL:
http://arxiv.org/abs/1201.5964
http://arxiv.org/abs/1201.5964
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ArXiv.org (Cornell University Library)
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6.
Amplitude death in systems of coupled oscillators with distributeddelay coupling
Open Access
Title:
Amplitude death in systems of coupled oscillators with distributeddelay coupling
Author:
Kyrychko, Y. N.
;
Blyuss, K. B.
;
Schoell, E.
Kyrychko, Y. N.
;
Blyuss, K. B.
;
Schoell, E.
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Description:
This paper studies the effects of coupling with distributed delay on the suppression of oscillations in a system of coupled StuartLandau oscillators. Conditions for amplitude death are obtained in terms of strength and phase of the coupling, as well as the mean time delay and the width of the delay distribution for uniform and gamma distributio...
This paper studies the effects of coupling with distributed delay on the suppression of oscillations in a system of coupled StuartLandau oscillators. Conditions for amplitude death are obtained in terms of strength and phase of the coupling, as well as the mean time delay and the width of the delay distribution for uniform and gamma distributions. Analytical results are confirmed by numerical computation of the eigenvalues of the corresponding characteristic equations. These results indicate that larger widths of delay distribution increase the regions of amplitude death in the parameter space. In the case of a uniformly distributed delay kernel, for sufficiently large width of the delay distribution it is possible to achieve amplitude death for an arbitrary value of the average time delay, provided that the coupling strength has a value in the appropriate range. For a gamma distribution of delay, amplitude death is also possible for an arbitrary value of the average time delay, provided that it exceeds a certain value as determined by the coupling phase and the power law of the distribution. The coupling phase has a destabilizing effect and reduces the regions of amplitude death. ; Comment: 15 pages, 7 figures
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Year of Publication:
20120201
Document Type:
text
Subjects:
Nonlinear Sciences  Chaotic Dynamics ; Mathematics  Dynamical Systems
Nonlinear Sciences  Chaotic Dynamics ; Mathematics  Dynamical Systems
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DDC:
535 Light & infrared & ultraviolet phenomena
(computed)
URL:
http://arxiv.org/abs/1202.0226
http://arxiv.org/abs/1202.0226
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ArXiv.org (Cornell University Library)
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7.
Refuting the odd number limitation of timedelayed feedback control
Open Access
Title:
Refuting the odd number limitation of timedelayed feedback control
Author:
Fiedler, B.
;
Flunkert, V.
;
Georgi, M.
;
Hoevel, P.
;
Schoell, E.
Fiedler, B.
;
Flunkert, V.
;
Georgi, M.
;
Hoevel, P.
;
Schoell, E.
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Description:
We refute an often invoked theorem which claims that a periodic orbit with an odd number of real Floquet multipliers greater than unity can never be stabilized by timedelayed feedback control in the form proposed by Pyragas. Using a generic normal form, we demonstrate that the unstable periodic orbit generated by a subcritical Hopf bifurcation,...
We refute an often invoked theorem which claims that a periodic orbit with an odd number of real Floquet multipliers greater than unity can never be stabilized by timedelayed feedback control in the form proposed by Pyragas. Using a generic normal form, we demonstrate that the unstable periodic orbit generated by a subcritical Hopf bifurcation, which has a single real unstable Floquet multiplier, can in fact be stabilized. We derive explicit analytical conditions for the control matrix in terms of the amplitude and the phase of the feedback control gain, and present a numerical example. Our results are of relevance for a wide range of systems in physics, chemistry, technology,and life sciences, where subcritical Hopf bifurcations occur. ; Comment: 4 pages, 3 figures, in print at Phys Rev Lett
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Year of Publication:
20060922
Document Type:
text
Subjects:
Nonlinear Sciences  Chaotic Dynamics
Nonlinear Sciences  Chaotic Dynamics
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URL:
http://arxiv.org/abs/nlin/0609056
http://arxiv.org/abs/nlin/0609056
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ArXiv.org (Cornell University Library)
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8.
Delayed feedback as a means of control of noiseinduced motion
Open Access
Title:
Delayed feedback as a means of control of noiseinduced motion
Author:
Janson, N. B.
;
Balanov, A. G.
;
Schoell, E.
Janson, N. B.
;
Balanov, A. G.
;
Schoell, E.
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Description:
Timedelayed feedback is exploited for controlling noiseinduced motion in coherence resonance oscillators. Namely, under the proper choice of time delay, one can either increase or decrease the regularity of motion. It is shown that in an excitable system, delayed feedback can stabilize the frequency of oscillations against variation of noise...
Timedelayed feedback is exploited for controlling noiseinduced motion in coherence resonance oscillators. Namely, under the proper choice of time delay, one can either increase or decrease the regularity of motion. It is shown that in an excitable system, delayed feedback can stabilize the frequency of oscillations against variation of noise strength. Also, for fixed noise intensity, the phenomenon of entrainment of the basic oscillation period by the delayed feedback occurs. This allows one to steer the timescales of noiseinduced motion by changing the time delay. ; Comment: 4 pages, 4 figures. In the replacement file Fig. 2 and Fig. 4(b),(d) were amended. The reason is numerical error found, that affected the quantitative estimates of correlation time, but did not affect the main message
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Year of Publication:
20030909
Document Type:
text
Subjects:
Condensed Matter  Statistical Mechanics
Condensed Matter  Statistical Mechanics
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URL:
http://arxiv.org/abs/condmat/0309226
http://arxiv.org/abs/condmat/0309226
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9.
Amplitude and phase dynamics in oscillators with distributeddelay coupling
Open Access
Title:
Amplitude and phase dynamics in oscillators with distributeddelay coupling
Author:
Kyrychko, Y. N.
;
Blyuss, K. B.
;
Schoell, E.
Kyrychko, Y. N.
;
Blyuss, K. B.
;
Schoell, E.
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Description:
This paper studies the effects of distributed delay coupling on the dynamics in a system of nonidentical coupled StuartLandau oscillators. For uniform and gamma delay distribution kernels, conditions for amplitude death are obtained in terms of average frequency, frequency detuning and parameters of the coupling, including coupling strength an...
This paper studies the effects of distributed delay coupling on the dynamics in a system of nonidentical coupled StuartLandau oscillators. For uniform and gamma delay distribution kernels, conditions for amplitude death are obtained in terms of average frequency, frequency detuning and parameters of the coupling, including coupling strength and phase, as well as the mean time delay and the width of the delay distribution. To gain further insight into the dynamics inside amplitude death regions, eigenvalues of the corresponding characteristic equations are computed numerically. Oscillatory dynamics of the system is also investigated using amplitude and phase representation. Various branches of phaselocked solutions are identified, and their stability is analysed for different types of delay distributions. ; Comment: 25 pages, 13 figures
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Year of Publication:
20120901
Document Type:
text
Subjects:
Nonlinear Sciences  Chaotic Dynamics
Nonlinear Sciences  Chaotic Dynamics
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URL:
http://arxiv.org/abs/1209.0133
http://arxiv.org/abs/1209.0133
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ArXiv.org (Cornell University Library)
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10.
PROSIT Disease Modelling Community  Open Source Erkrankungsmodelle für die KostenNutzen Bewertung in Deutschland
Open Access
Title:
PROSIT Disease Modelling Community  Open Source Erkrankungsmodelle für die KostenNutzen Bewertung in Deutschland
Author:
Schramm, W
;
Lang, S
;
Pobiruchin, M
;
Trinczek, B
;
Schreiweis, B
;
Rafler, H
;
Krämer, N
;
Schöll, M
Schramm, W
;
Lang, S
;
Pobiruchin, M
;
Trinczek, B
;
Schreiweis, B
;
Rafler, H
;
Krämer, N
;
Schöll, M
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Publisher:
German Medical Science GMS Publishing House; Düsseldorf
Year of Publication:
20080910
Source:
M0071
M0071
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Document Type:
conferenceObject
Language:
deu
Subjects:
ddc:610
ddc:610
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DDC:
610 Medicine & health
Rights:
http://www.egms.de/en/terms.htm
http://www.egms.de/en/terms.htm
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Relations:
prosit.de [homepage on the internet] Heilbronn: GECKO Institut for Health Economics and Medical Informatics [constantly updated; cited 2008 April 14]
URL:
http://www.egms.de/en/meetings/gmds2008/08gmds101.shtml
http://www.egms.de/en/meetings/gmds2008/08gmds101.shtml
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Content Provider:
GMS ejournal  German Medial Science (Association of the Scientific Medical Societies in Germany)
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(12) Schoell, E.
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(7) Kyrychko, Y. N.
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