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S. Yanchuk, G. Giacomelli
Spatio-temporal phenomena in complex systems with time delays (Topical Review)
Journal of Physics A: Mathematical and Theoretical 50, 103001 (2017)

L. Lücken, D. Rosin, V. Worlitzer, S. Yanchuk
Pattern reverberation in networks of excitable systems with connection delays,
Chaos: An Interdisciplinary Journal of Nonlinear Science 27, 013114 (2017)

V. Klinshov, S. Yanchuk, A. Stephan, and V. Nekorkin
Phase response function for oscillators with strong forcing or coupling,
EPL 118 50006 (2017)

S. Ruschel, S. Yanchuk
Chaotic bursting in semiconductor lasers,
accepted to Chaos: An Interdisciplinary Journal of Nonlinear Science (2017)

D. Puzyrev, A. Vladimirov, A. Pimenov, S. Gurevich, S. Yanchuk
Bound pulse trains in arrays of coupled spatially extended dynamical systems,
accepted to Phys. Rev. Lett. (2017)

V. Klinshov, D. Shchapin, S. Yanchuk, M. Wolfrum, O. D'Huys, V. Nekorkin
Embedding the dynamics of a single delay system into a feed-forward ring
accepted to Phys. Rev. E (2017)


L. Lücken, O. Popovych, P. Tass, S Yanchuk
Noise-enhanced coupling between two oscillators with long-term plasticity
Phys. Rev. E. 93, 032210 (2016), [preprint]

D. Puzyrev, A. Vladimirov, S. Gurevich, S. Yanchuk
Modulational instability and zigzagging of dissipative solitons induced by delayed feedback
Phys. Rev. A 93, 041801(R) (2016)

V. Klinshov, D. Shchapin, S. Yanchuk, V. Nekorkin
Jittering waves in rings of pulse oscillators
Phys. Rev. E 94, 012206 (2016)

V. Klinshov, D. Shchapin, L. Lücken, S. Yanchuk, V. Nekorkin
Experimental study of jittering waves in a ring of excitable units
AIP Conf. Proc. 1738, 210007 (2016)


S. Yanchuk, G. Giacomelli
Dynamical systems with multiple long-delayed feedbacks: Multiscale analysis and spatiotemporal equivalence
Phys. Rev. E. 92, 042903 (2015) [preprint]

V. Klinshov, L. Lücken, D. Shchapin, V. Nekorkin, S. Yanchuk
Multistable jittering in oscillators with pulsatile delayed feedback
Phys. Rev. Lett. 114, 178103 (2015) [preprint]

V. Klinshov, L. Lücken, D. Shchapin, V. Nekorkin, and S. Yanchuk
Emergence and combinatorial accumulation of jittering regimes in spiking oscillators with delayed feedback
Phys. Rev. E. 92, 042914 (2015).

S. Yanchuk, P. Perlikowski, M. Wolfrum, A. Stefański, T. Kapitaniak
Amplitude equations for collective spatio-temporal dynamics in arrays of coupled systems
Chaos 25,033113 (2015) [preprint]

M. Kantner, E. Schöll, S. Yanchuk
Delay-induced patterns in a two-dimensional lattice of coupled oscillators
Nature Scientific Reports 5, 8522 (2015)

S. Yanchuk, L. Lücken, M. Wolfrum, A. Mielke
Spectrum and amplitude equations for scalar delay-differential equations with large delay
Discrete and Continuous Dynamical Systems - A 35, 537-553 (2015)



D. Puzyrev, S. Yanchuk, A. Vladimirov, S. Gurevich
Stability of plane wave solutions in complex Ginzburg-Landau equation with delayed feedback
SIAM J. Appl. Dyn. Syst. 13, 986 (2014). [PDF]

S. Yanchuk, G. Giacomelli
Pattern formation in systems with multiple delayed feedbacks
Phys. Rev. Lett. 112, 174103 (2014).
[PDF] [PDF-Supplemental] [Supp-Video1] [Supp-Video2] [Supp-Video3] [Supp-Video4] [Supp-Video5] [Supp-Video6]

A. Glitzky, A. Mielke, L. Recke, M. Wolfrum, S. Yanchuk
Mathematics of optoelectronic devices
Chapter D2 in MATHEON - Mathematics for Key Technologies, EMS Series in Industrial and Applied Mathematics Vol. 1, eds. P. Deuflhard et al., pp. 243-256, EMS Publishing, 2014.


O. V. Popovych, S. Yanchuk, P. A. Tass,
Self-organized noise resistance of oscillatory neural networks with spike timing-dependent plasticity
Sci. Rep. 3, 2926 (2013)

L. Lücken, J. P. Pade, K. Knauer, S. Yanchuk,
Reduction of interaction delays in networks
EPL (Europhys. Lett.) 103, 10006 (2013)    [preprint]

L. Lücken, S. Yanchuk, O. V. Popovych, P. A. Tass
Desynchronization boost by non-uniform coordinated reset stimulation in ensembles of pulse-coupled neurons
Frontiers in Computational Neuroscience 7, 63 (2013)

O. D'Huys, S. Zeeb, Th. Juengling, S. Heiligenthal, S. Yanchuk, W. Kinzel
Synchronisation and scaling properties of chaotic networks with multiple delays
EPL (Europhys. Lett.) 103, 10013 (2013)

J. Sieber, M. Wolfrum, M. Lichtner, S. Yanchuk,
On the stability of periodic orbits in delay equations with large delay.
Discrete and Continuous Dynamical Systems - A 33, 3109-3134 (2013)  [preprint]

G. Giacomelli, F. Marino, M. Zaks, S. Yanchuk,
Nucleation in bistable dynamical systems with long delay.
Phys. Rev. E 88, 062920 (2013)

J. P. Pade, L. Lücken, S. Yanchuk
The dynamical impact of a shortcut in unidirectionally coupled rings of oscillators
Math. Model. Nat. Phenom. 8, 173-189 (2013)

X. Liang, S. Yanchuk, and L. Zhao,
Gating signal propagation by a feedforward neural motif
Phys. Rev. E 88, 012910 (2013)

M. Kantner, S. Yanchuk
Bifurcation analysis of delay-induced patterns in a ring of Hodgkin-Huxley neurons.
Phil. Trans. Roy. Soc. 371, 20120470 (2013)

V. Flunkert, S. Yanchuk, T. Dahms, E. Schöll,
Synchronizability of networks with strongly delayed links: a universal classification
Contemporary Mathematics. Fundamental Directions 48, 134 (2013),
English version: J. of Math. Sciences (Springer), 2014 (to appear).


G. Giacomelli, F. Marino, M. Zaks, S. Yanchuk,
Coarsening in a bistable system with long-delayed feedback
EPL (Europhys. Lett.) 99, 58005 (2012) [PDF]

L. Lücken and S. Yanchuk, 
Two-cluster bifurcations in systems of globally pulse-coupled oscillators
Physica D 241, 350–359 (2012) [PDF]

O. Omel’chenko, M. Wolfrum, S. Yanchuk, Yu. Maistrenko, O. Sudakov,
Stationary patterns of coherence and incoherence in two-dimensional arrays of non-locally coupled phase oscillators,
Phys. Rev. E 85, 036210 (2012)
. [PDF]

L. Recke, A. Samoilenko, V. Tkachenko, S. Yanchuk,
Frequency locking by external forcing in systems with rotational symmetry
SIAM J Appl Dyn Syst. 11, 771-800 (2012)  [PDF]

P. Brzeski, P. Perlikowski, S. Yanchuk,T. Kapitaniak,
The dynamics of the pendulum suspended on the forced Duffing oscillator,
Journal of Sound and Vibration 331,  5347-5357 (2012).


O. Popovych, S. Yanchuk and P. Tass,
Delay- and coupling-induced firing patterns in oscillatory neural loops,
Phys. Rev. Lett. 107, 228102 (2011), [PDF]

S. Heiligenthal, Th. Dahms, S. Yanchuk, Th. Jüngling, V. Flunkert, I. Kanter, E. Schöll, W. Kinzel,
Strong and weak chaos in nonlinear networks with time-delayed couplings
Phys. Rev. Lett. 107, 234102 (2011)  [PDF]

S. Yanchuk, P. Perlikowski, O. Popovych, P. Tass,
Variability of spatio-temporal patterns in non-homogeneous rings of spiking neurons
Chaos 21, 047511 (2011) [PDF]

M. Lichtner, M. Wolfrum, S. Yanchuk.
The spectrum of delay differential equations with large delay,
SIAM J. Math. Anal. 43, pp. 788-802 (2011). [PDF]

M. Wolfrum, O. E. Omel'chenko, S. Yanchuk, and Y. L. Maistrenko,
Spectral properties of chimera states,
Chaos 21, 013112 (2011); [PDF]

L. Recke, A. Samoilenko, A. Teplinsky, V. Tkachenko, and S. Yanchuk.
Frequency locking of modulated waves. 
Discrete and continuous Dynamical Systems 31, 847-875 (2011). [Preprint].

L. Lücken and S. Yanchuk,
Emergence of one- and two-cluster states in populations of globally pulse-coupled oscillators
in Nonlinear Laser Dynamics: From Quantum Dots to Cryptography, (Jonh Wiley, 2011), Ch. 12, pp. 293-316.  [Preprint]


V. Flunkert, S. Yanchuk, T. Dahms, E. Schöll,
Synchronizing distant nodes: a universal classification of networks,
Phys. Rev. Lett. 105, 254101 (2010)

M. Wolfrum, S. Yanchuk, P. Hövel and E. Schöll, 
Complex dynamics in delay-differential equations with large delay,
Eur. Phys. J. Special Topics 191, 91–103 (2010)

P. Perlikowski, S. Yanchuk,  O. V. Popovych, and P. A. Tass.
Periodic patterns in a ring of delay-coupled oscillators, 
Phys. Rev. E. 82, 036208 (2010) [PDF]

S. Yanchuk and M. Wolfrum.
A multiple timescale approach to the stability of external cavity modes in the Lang-Kobayashi system using the limit of large delay.
SIAM J. Appl. Dyn. Syst. Volume 9, Issue 2, pp. 519-535 (2010)

P. Perlikowski, S. Yanchuk, M. Wolfrum, A. Stefanski, P. Mosiolek, and T. Kapitaniak,
Routes to complex dynamics in a ring of unidirectionally coupled systems.
Chaos, 20, 013111 (2010) [PDF]


S. Yanchuk and P. Perlikowski,
Delay and periodicity,
Phys. Rev. E. 79 (2009) 046221 (PDF


B. Fiedler, S. Yanchuk, V. Flunkert, Ph. Hovel, H.-J. Wunsche, E. Schöll,
Delay stabilization of rotating waves near fold bifurcation and application to all-optical control of a semiconductor laser,
Phys. Rev. E 77 (2008) 066207. PDF

S. Yanchuk and M. Wolfrum,
Destabilization patterns in chains of coupled oscillators,
Phys. Rev. E 77 (2008) 026212. PDF

S. Yanchuk, K. Schneider. O. Lykova,
Amplitude synchronization of two coupled lasers,
Ukr. Math. J. 60 (Special issue dedicated to A.M. Samoilenko) (2008) pp. 426-435. PDF

K. R. Schneider, S. Yanchuk,
On a class of periodic boundary value problems appearing in lasers dynamics,
Applicable Analysis 87 (2008), 723-731.


L. Recke, M. Wolfrum, and S. Yanchuk,
Dynamics of coupled semiconductor lasers,
chapter 6 in ''Analysis and control of complex nonlinear processes in physics, chemistry and biology'', ed. L Schimansky-Geier, B. Fiedler, J. Kurths, and E. Schöll, World Sci. (2007), pp.185-212. 


S.Yanchuk, M.Wolfrum, P.Hövel, E.Schöll,
Control of unstable steady states by strongly delayed feedback,
Phys. Rev. E.
  74, 026201 (2006), PDF

M.Wolfrum, S.Yanchuk,
Eckhaus instability in systems with large delay,
Phys. Rev. Lett. 96, 220201  (2006). PDF

S. Yanchuk, A.Stefanski, T.Kapitaniak,  J.Wojewoda,
Dynamics of an array of coupled semiconductor lasers,
Phys. Rev. E. 73 (2006) 016209, PDF.

A.Politi, F.Ginelli, S.Yanchuk, Yu.Maistrenko,
From synchronization to Lyapunov exponents and back,
Physica D 224 (2006) 90-101. PDF


S. Yanchuk,
Discretization of frequencies in delay coupled oscillators,
Phys. Rev. E 72 (2005) 036205. PDF.

S. Yanchuk,
Properties of stationary states of delay equations with large delay and applications to laser dynamics,
Math. Meth. Appl. Sci. (2005) 28:363-377. PDF

S. Yanchuk and M. Wolfrum,
Instabilities of equilibria of delay-differential equations with large delay,
Proceedings of ENOC (2005). PDF


S. Yanchuk, K.Schneider, L.Recke,
Dynamics of two mutually coupled semiconductor lasers: Instantaneous coupling limit,
Phys. Rev. E
69 (2004) 056221. PDF

A. Stefanski, J.Wojewoda, T.Kapitaniak, S.Yanchuk,
Simple estimation of synchronization threshold in ensembles of diffusively coupled chaotic systems,
Phys. Rev. E. 70 (2004) 026217. PDF

S. Yanchuk, K.Schneider, L.Recke,
Dynamics of two F2F coupled lasers: instantaneous coupling limit,
Proc. of SPIE Vol. 5452 "Semiconductor lasers and laser dynamics", pp. 51-62 (2004).


K.Schneider, S.Yanchuk,
Complete synchronization of symmetrically coupled autonomous systems,
Applicable Analysis 82 (2003) 1127-1143. PDF

S. Yanchuk, T.Kapitaniak,
Manifestation of riddling in the presence of parameter mismatch between coupled systems,
Phys. Rev. E
68 (2003) 017202, PDF

S. Yanchuk, G.Kristensen, I.Sushko,
Dynamical approach to complex regional economic growth based on Keynesian model for China,
Chaos, Solitons & Fractals
18 (2003) 937-952, PDF

S. Yanchuk, Yu.Maistrenko, E.Mosekilde,
Synchronization of time-continuous chaotic oscillators,
Chaos 13 (2003) 388-400, PDF

Yu. Maistrenko, O.Popovych, S.Yanchuk,
Synchronization and clustering in ensembles of coupled chaotic oscillators,
in ``Synchronization: Theory and Application'' (Eds. A. Pikovsky and Yu. Maistrenko) Kluwer Acad. 2003 pp. 101-138.


S. Yanchuk,
Preserving of one-sided invariance in Rn with respect to systems of ordinary differential equations,
Nonlinear Oscillations 5 (2), 278-285 (2002)


S. Yanchuk, T.Kapitaniak,
Chaos-hyperchaos transition in coupled Rössler systems,
Phys. Lett. A 290, (3-4), 139-144 (2001), PDF

S. Yanchuk, T.Kapitaniak,
Symmetry increasing bifurcation as a predictor of chaos-hyperchaos transition in coupled systems,
Phys. Rev. E
64 056235 (2001), PS

S. Yanchuk, Yu.Maistrenko,  E.Mosekilde,
Loss of synchronization in coupled Rössler systems,
Physica D 154, 26-42 (2001), PDF

S. Yanchuk, Yu.Maistrenko, E.Mosekilde,
Partial synchronization and clustering in a system of diffusively coupled chaotic oscillators,
Math. Comp. Simul.
54, 491-508 (2001), PDF

E.Mosekilde, B.Lading, S.Yanchuk, Yu.Maistrenko,
Bifurcation structure of a model of bursting pancreatic cells,
63, 3-13 (2001). PDF


S. Yanchuk, Yu.Maistrenko, B.Lading, E.Mosekilde,
Effects of a parameter mismatch on the synchronization of two coupled chaotic oscillators,
Int. J. Bifurcation and Chaos 10, 2629-2648 (2000)

S. Yanchuk,
Qualitative investigation of two-dimensional regime in Chua's system ,
Georg. Math. J.
7, N 1, 191-200 (2000)

B. Lading, E.Mosekilde, S.Yanchuk, Yu.Maistrenko,
Chaotic synchronization between coupled pancreatic beta-cells,
Prog. Theor. Phys. Suppl.
139, 164-177 (2000).


ODD-Tool- numerical integration of delay-differential equations. In contrast to some other integrators, it allows the integration of large systems of DDEs (i.e. networks, discretized PDEs with delays) with very different or very large time delays.

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