Curriculum

Research Fields

• nonlinear dynamical systems, bifurcations, and chaos
• synchronization in complex networks of coupled oscillators
• multistability, heteroclinic cycles, chimera states, role of time-delay
• mathematical modelling in life science, physics, and technology

Publications

Books

• Chaotic Synchronization: Application to Living Systems E.Mosekilde, Yu. Maistrenko and D. Postnov. World Scientific, 202, 440 pp.
  
  
• Difference Equations and their Applications A.N.Sharkovsky, Yu.L.Maistrenko, E.Yu.Romanenko. Naukova Dumka, Kiev, 1986, 280 p. Russian. Kluwer A.P., 1993, 358 p. English.
  
  
• Synchronization: Theory and Application Editors: A. Pikovsky and Yu. Maistrenko; Kluwer Acad.Publ., 2003.

Recent Publications

       2020

• P. Ebrahimzadeh, M. Schiek, P. Jaros, T. Kapitaniak, S. van Waasen and Y. Maistrenko. Minimal Chimera States in Phase-Lag Coupled Mechanical Oscillators. Eur. Phys. J. Special Topics 229, 2205 (2020). https://doi.org/10.1140/epjst/e2020-900270-4
  
• V. Maistrenko, O. Sudakov, Yu. Maistrenko. Spiral wave chimeras for coupled oscillators with inertia. Eur. Phys. J. Spec. Top. 229, 2327–2340 (2020). https://doi.org/10.1140/epjst/e2020-900279-x
• N. Kruk, Y. Maistrenko, H. Koeppl. Solitary states in the mean-field limit.  (2020), https://arxiv.org/pdf/2009.06466.pdf
• F. Hellmann, P. Schultz, P. Jaros, R. Levchenko, T. Kapitaniak, J. Kurths and Yu. Maistrenko. Network-induced multistability through lossycoupling and exotic solitary states. Nature Communications 11:592 (2020), https://doi.org/10.1038/s41467-020-14417-7
  

2019


• Y. Duguet and Y. Maistrenko. Loss of coherence among coupled oscillators: From defect states to phase turbulence. Chaos 29, 121103 (2019),https://doi.org/10.1063/1.5125119 
  

• V. Semenov and Y. Maistrenko. Dissipative solitons for bistable delayed-feedback systems. Chaos 28, 101103 (2018), https://doi.org/10.1063/1.5062268
• D. Brunner, B. Penkovsky, R. Levchenko, E. Schöll, L. Larger and Y. Maistrenko. Two-dimensional spatiotemporal complexity in dual-delayed nonlinear feedback systems: Chimeras and dissipative solitons. Chaos 28, 103106 (2018),https://doi.org/10.1063/1.5043391 
  
  
• N. Kruk,Yu. Maistrenko and H. Koeppl. Self-propelled chimeras. Phys.Rev, E 98, 032219 (2018). https://doi.org/10.1103/PhysRevE.98.032219
  
  
• V. Santos, J. D. Szezech, A. M. Batista, K. C. Iarosz, M. S. Baptista, H. P. Ren, C. Grebogi, R. L. Viana, I. L. Caldas, Y. L. Maistrenko, and J. Kurths. Riddling: Chimera's dilemma. CHAOS 28, 081105 (2018). https://doi.org/10.1063/1.5048595
  
  
• P. Jaros, S. Brezetsky, R. Levchenko, D. Dudkowski, T. Kapitaniak and Yu. Maistrenko. Solitary states for coupled oscillators with inertia. CHAOS 28, 011103 (2018). doi.org/10.1063/1.5019792
  
  

2017

• V. Maistrenko, O. Sudakov, O. Osiv, Yu. Maistrenko. Multiple scroll wave chimera states. The European Physical Journal Special Topics. June 2017, Volume 226, Issue 9, pp 1867–1881
  
  
• Yu. Maistrenko, S. Brezetsky, P. Jaros, R. Levchenko, T. Kapitaniak.  Smallest chimera states. PhysRevE.95.010203. 10.1103/PhysRevE.95.010203.


• S. Brezetskiy, D. Dudkowski, P. Jaros, J. Wojewoda, K. Czolczynski, Yu. Maistrenko and T. Kapitaniak. Chimera-like states generated by large perturbation of synchronous state of coupled metronomes.  Indian Academy of Sciences Conference Series (2017) 1:1. DOI: 10.29195/iascs.01.01.0008

  2016

• J. Wojewoda, K. Czolczynski, Yu. Maistrenko, and T. Kapitaniak.  The smallest chimera state for coupled pendula. Scientific Report 6, 34329 (2016). doi: 10.1038/srep34329.
  
  
• D. Dudkowski, Yu. Maistrenko, and T. Kapitaniak. Occurrence and stability of chimera states in coupled externally excited oscillators. Chaos 26, 116306 (2016), doi: http://dx.doi.org/10.1063/1.4967386
  
  
• D. Dudkowski,J. Grabski, J. Wojewoda, P. Perlikowski, Yu. Maistrenko, and T. Kapitaniak. Experimental multistable states for small network of coupled pendula. Scientific reports 6, 29833 (2016), doi:10.1038/srep29833
  
  
• V. Semenov, A. Zakharova, Y. Maistrenko, and E. Schoell. Delayed-feedback chimera states: Forced multiclusters and stochastic resonance. Europhysics Letters 115, 10005 (2016), doi: 10.1209/0295-5075/115/10005
  
  
  

2015

• Yu. Maistrenko, O. Sudakov, O. Osiv, and V. Maistrenko. Chimera states in three dimensions. New J. Phys. 17, 073037, doi:10.1088/1367-2630/17/7/073037
  
  
• L. Larger, B. Penkovsky, Yu. Maistrenko. Laser Chimeras as a paradigm for multi-stable patterns in complex systems. Nature Communications 6, 7752 (2015), doi:10.1038/ncomms8752 http://www.nature.com/ncomms/2015/150714/ncomms8752/full/ncomms8752.html
  
  
• P. Jaros, Yu. Maistrenko, and T. Kapitaniak. Chimera states on the route from coherence to rotating waves. Phys. Rev. E 91, 022907 (2015).
  

2014

• D. Dudkowski, Yu. Maistrenko, and T. Kapitaniak. Different types of chimera states: An interplay between spatial and dynamical chaos. Physical Review E 90, 032920 (2014).
  
  
• T. Kapitaniak, P. Kuzma, J. Wojewoda, K.Czolczynski, and Yu. Maistrenko. Imperfect chimera states for coupled pendula. Scientific Reports, 4, 6379 (2014).
  
  
• Yu. Maistrenko, A. Vasylenko, O. Sudakov, R. Levchenko, and V. Maistrenko. Cascades of multi-headed chimera states for coupled phase oscillators. Int. J. Bif. and Chaos. v. 24, N8, 1440014 (2014)
  
  
• Yu. Maistrenko, B. Penkovsky, and M. Rosenblum. Solitary state at the edge of synchrony in ensembles with attractive and repulsive interactions.
  Phys. Rev. E 89, 060901(R) (2014).
  
  
• V. Maistrenko, O. Sudakov, Yu. Maistrenko. Three-Dimentional Chimera States. Euromech Colloquium EC565, 6–9 May 2014, Cargese, France. Book of Abstract. P. 48. URL: http://perso.limsi.fr/duguet/Cargese/master.pdf
  

2013

• L. Larger, B. Penkovsky, and Yu. Maistrenko. Virtual chimera states for delayed-feedback systems.  Physical Review Letters 111, 054103 (2013)
  
  
• V. Dziubak, Yu. Maistrenko, and E. Schöll. Coherent traveling waves in nonlocally coupled chaotic systems. Physical Review E 87, 032907 (2013)
  

2012

• T. Girnyk, M. Hasler, and Yu. Maistrenko. Multistability of twisted states in non-locally coupled Kuramoto-type models. Chaos, 22, 013114 (2012).
  
  
• I. Omelchenko, B. Riemenschneider, P. Hövel, Yu. Maistrenko, and E. Schöll. Transition from spatial coherence to incoherence in coupled chaotic systems. Phys. Rev. E. 85, 026212 (2012).
  
  
• O. Omel'chenko, M. Wolfrum, S. Yanchuk, Yu. Maistrenko, and O.Sudakov. Stationary patterns of coherence and incoherence in two-dimensional arrays of non-locallycoupled phase oscillators. Phys.Rev.E , 85, 036210 (2012).
  
  
• Y. Maistrenko. Chimera states for repulsively coupled phase oscillators. In B. Mehlig, O. Ghavami, S. Östlund, and D. Hanstorp, editors, XXXII Dynamics Days Europe: Book of Abstracts, page 35, Gothenburg, Sweden, 2012. University of Gothenburg.
  

2011

• I. Omelchenko, Yu. Maistrenko, P. Hövel, and E. Schöll. Loss of coherence in dynamical networks: spatial chaos and chimera states. Phys.Rev.Lett., Vol. 106, 234102 (2011).
  
  
• M. Wolfrum, O. Omel'chenko, S. Yanchuk, and Y. Maistrenko. Spectral properties of chimera states. Chaos, 21, 013112 (2011).

2010

• O. Omel'chenko, M. Wolfrum, and Yu. Maistrenko. Chimera states as chaotic spatiotemporal patterns. Phys.Rev.E, 81, 065201 (R) (2010).
  
  
• O. Omel'chenko, Yu. Maistrenko, and P. Tass. Chimera states induced by spatiallymodulated delayed feedback. Phys. Rev. E. 82, 066201 (2010).
  
  
• V. Maistrenko, A. Vasylenko, Yu. Maistrenko, and E. Mosekilde. Phase chaos in the discrete Kuramoto model. Int. Journal of Bif. and Chaos, Vol. 20, No 6 (2010), 1811-1823.
  

2009

• Yu. Maistrenko, O. Sudakov, and R. Levchenko. Parallel software for nonlinear dynamics and information processing in large neuronal networks of the brain. Proceedings of the 3rd Vogt-Brodmann Symposium, December 2009, Juelich, Germany.
  
  
• R. Levchenko, O. Sudakov, and Yu. Maistrenko. Parallel software for modeling complex dynamics of large neuronal networks. Proc. 17th Int. Workshop on Nonlinear Dynamics of Electronic Systems, June 2009, Rapperswil, Switzerland, pp. 34-37.
  
  
• A. Vasylenko, V. Maistrenko, and Yu. Maistrenko. Impact of discreteness on hyperchaos in the Kuramoto model. Proc. 17th Int. Workshop on Nonlinear Dynamics of Electronic Systems, June 2009, Rapperswil, Switzerland, pp. 74-77.

2008

• P. Ashwin, O. Burylko, and Yu. Maistrenko. Bifurcation to heteroclinic cycles and sensitivity in three and four coupled phase oscillators. Physica D 237 (2008) 454-466.
  
  
• O. Omelchenko, Yu. Maistrenko, and P.A. Tass. Chimera states: the natural link between coherence and incoherence. Phys.Rev.Lett., Vol. 100 (2008), 044105.
  
  
• O. Omelchenko, C. Hauptmann, Y. Maistrenko, and P.A. Tass. Collective dynamics of globally coupled phase oscillators under multisite delayed feedback stimulation. Physica D, Vol. 237 (2008), 365-384.
  
  
• B. Lysyansky, Yu.L. Maistrenko, and Peter A. Tass. Co-existence of numerous synchronized and desynchronized states in a model of two phase oscillators coupled with delay. Int. Journal of Bif. and Chaos Vol. 18 (2008), 1791-1800.
  
  
• V. Maistrenko, A. Vasylenko, Yu. Maistrenko, and E. Mosekilde. Phase chaos and multistability in the discrete Kuramoto model. Nonlinear Oscillations, Vol. 11 (2008), 217-229.