Staff
 
 
 
   
Vladimir I. Nekorkin
Dr. Sci., Head of Department of Nonlinear Dynamics
Professor at Nizhny Novgorod State University

Education:

  • 1966 - 1971 Gorky (Nizhny Novgorod) State University, Radiophysical faculty
  • 1982  Ph.D., Gorky (Nizhny Novgorod) State University
  • 1992  Dr.Sci., Gorky (Nizhny Novgorod) State University

Professional career:

1971-1981

Junior Scientist, Institute of Applied Mathematics and Cybernetics

1981-1983

Senior Scientist, Institute of Applied Mathematics and Cybernetics

1983-1986

Assoc. Professor, Gorky (Nizhny Novgorod)  Politechnical Institute

1986-1992 

Assoc. Professor, Gorky (Nizhny Novgorod)  State University

1992 – present

Professor, Nizhny Novgorod State University

2001-2006

Leading Scientist,  IAP RAS

2006-2008

Head of laboratory, IAP RAS

2008 – present

Head of department, IAP RAS

Membership in professional organizations:

1993-2001

Visiting Member of the Universidad Complutense de Madrid (Instituto Pluridisciplinar).

2002-present

Scientic consultant of the section “Physics and Astronomy” of the Great Russian Encyclopedia

2008-present

Member, Scientic Council of Institute of Applied Physics of Russian Academy of Science (RAS).

2006-present

Member, Jury on defend a PHD thesis of Institute of Applied Physics of RAS

2004-present

Expert, Russian Foundation for Basic Research

2013-present

Expert, Russian Scientic Foundation

2006-2014

Editorial Board member of the International Journal of Bifurcation and Chaos (World Scientific Publishing Co)

2008-present

Editorial Board member of the Journal of Applied Nonlinear Dynamics, Russian

2010-present

Editorial Board member of the Journal of Chaos, Solitons, and Fractals (Elsevier)

2012-present

Editorial Board member of the Journal of Discontinuity, Nonlinearity, and Complexity

Experience in higher education:

1983-1985

Gorky (Nizhny Novgorod) Politechnical Institute

Courses: “Mathematical Analysis”, “Ordinary Differential Equations”

1985-present

Gorky (Nizhny Novgorod) State University

Course: “Theory of Oscillations and Waves”

1985-1992

Gorky (Nizhny Novgorod) State University

Course: “Qualitative Methods of the Theory of the Oscillations”

1992-2001

Nizhny Novgorod State University

Course: “Nonlinear Dynamics of Lattice Systems”

1993-2001

Nizhny Novgorod State University

Course: “Nonlinear Waves”

PH.D. STUDENTS
A.G. Maksimov, V.A. Makarov, V.B. Kazantsev, D.V. Artyuhin, D.G. Zakharov, V.V. Klinshov, A.S. Dmitrichev, D.S. Shapin, O.V. Maslennikov

Awards:
2012   A.A. Andronov Prize of the RAS  
1999   Soros Professor (Grant N. p 99-22) 

Scope of professional interests:

  1. The investigation of structures and chaos in nonlinear synchronization networks.
  2. The rigorous results on stability of space-homogeneous and travelling wave solutions in chain of coupled maps.
  3. Stability of solutions in lattice dynamical systems and spatial chaos.
  4. The investigation of heteroclinic contours and self-replicated waves and wave patters in reaction-diffusion lattices.
  5. The modeling of the neural olivo-cerebellar system.
  6. The map-based modeling of neuronal activity.
  7. Theory of sequential dynamics in models of biological networks.

Patents:

  1. R. Llinas, V.I. Nekorkin, V.V. Papko, V.B. Kazantsev, V.I. Makarenko, Neuromimetic control sys-tems and methods, United States Patent US 7822694 (26.10.2010).
  2. 2. R. Llinas, V.I. Nekorkin, V.B. Kazantsev, V.I. Makarenko, Method and apparatus for phase-independent predictable resetting, United States Patent US7870086 B2 (10.06.2011).

Books:

V.I. Nekorkin. Introduction to nonlinear oscillations. Wiley-VCH, 2015. 250 p
ISBN 978-7-04-042131-6
ISBN: 978-3-527-41330-0
V.I. Nekorkin. Lectures on Theory of Nonlinear Oscillations, Nizhny Novgorod State University, Nizhny Novgorod, 2012, 311 p. (in Russian)
V.I. Nekorkin, M.G. Velarde. Synergetic phenomena in active lattice, Springer-Verlag, 2002, 357 p.
V.S. Afraimovich, V.I. Nekorkin, G.V. Osipov, V.D. Shalfeev. Stability, Structures and Chaos in Nonlinear Synchronization Networks, World Scientific, Singapore, 1995, 246 p.

Chapters in books:

  1. V.I. Nekorkin and V.B. Kazantsev. Oscillatory dynamics of spiking neurons and modeling memory functions. In Chris Forsythe et al. (Eds.) Russian Cognitive Neuroscience: Historical and Cultural Context. N.Y.: CreateSpace Independent Publishing, 2015. P.267-294
  2. D.V. Kasatkin, A.S. Dmitrichev, V.I. Nekorkin, Transient sequences in a network of excitatory coupled Morris-Lecar neurons. In book ISCS 2014: Interdisciplinary Symposium on Complex Systems. (Ed. by A. Sanayei et al.). Springer International Publishing Switzerland, 2015. Series: Emergence, Complexity and Computation, vol. 14. p. 27-36. DOI: 10.1007/978-3-319-10759-2_4
  3. V.I. Nekorkin, A.S. Dmitrichev, D.V. Kasatkin, Reducing the sequential dynamics of neural networks to synaptic cellular automata. In book Nonlinear Dynamics New Directions - Models and Applications. (Ed. by H. González-Aguilar and E. Ugalde). Springer International Publishing Switzerland, 2015. Series: Nonlinear Systems and Complexity, vol. 12. p. 111-127. DOI: 10.1007/978-3-319-09864-7_5
  4. O.V. Maslennikov, D.V. Kasatkin, V.I. Nekorkin, Synchronization and control in modular networks of spiking neurons. In book ISCS 2014: Interdisciplinary Symposium on Complex Systems. (Ed. by A. Sanayei et al.). Springer International Publishing Switzerland, 2015. Series: Emergence, Complexity and Computation, vol. 14. p. 57-66. DOI: 10.1007/978-3-319-10759-2_3
  5. Oleg V. Maslennikov, Vladimir I. Nekorkin, Map-Based Approach to Problems of Spiking Neural Network Dynamics, Nonlinear Dynamics and Complexity (Ed. by V.S. Afraimovich, Al-bert C.J. Luo, Xilin Fu, Springer, 2014), pp.143-161
  6. V.I. Nekorkin, A.S. Dmitrichev, D.V. Kasatkin, V.S. Afraimovich, Analyzing the dynamics of excitatory neural networks by synaptic cellular automata. In book Chaos, CNN, Memristors and Beyond. A Festschrift for Leon Chua. (Ed. by A. Adamatzky and G. Chen), 2013. World Scientific Press, p. 89-100. DOI: 10.1142/9789814434805_0007

Papers:

2018

  1. А.С. Дмитричев, Д.С. Щапин, В.И. Некоркин, Клонирование химерных состояний в мультиплексной сети двухчастотных осцилляторов с линейными локальными связями // Письма в ЖЭТФ. 2018. Т. 108. С. 578.
  2. V. Afraimovich , A. Dmitrichev, D. Shchapin, V. Nekorkin, Сomplexity functions for networks: Dynamical hubs and complexity cluster // Commun. Nonlinear Sci. Numer. Simulat. 2018, V. 55. P. 166.
  3. A.S. Dmitrichev, D.V. Кasatkin, V.V. Klinshov, S.Yu. Kirillov, O.V. Maslennikov, D.S. Shchapin, V.I. Nekorkin, Nonlinear dynamical models of neurons // Izvestiya VUZ, Applied Nonlinear Dynamics. 2018. V. 26, № 4. P. 5.
  4. D.V. Kasatkin, V.I. Nekorkin,  Synchronization of chimera states in a multiplex system of phase oscillators with adaptive couplings // CHAOS. 2018. V. 28, № 9. P. 093115.
  5. V.V. Klinshov, S. Kirillov, J. Kurths, V.I. Nekorkin, Interval stability for complex systems // New Journal of Physics. 2018. V. 20. P. 043040.
  6. O.V. Maslennikov, V.I. Nekorkin, J. Kurths, Transient chaos in the Lorenz-type map with periodic forcing // CHAOS. 2018. V. 28, № 3. P. 033107.
  7. I. Basic, V. Klinshov, V. Nekorkin, M. Perc, I. Franovic, Inverse stochastic resonance in a system of excitable active rotators with adaptive coupling // Europhysics Letters. 2018. V. 124, № 4. P. 40004.
  8. D.V. Kasatkin, V.I. Nekorkin, The effect of topology on organization of synchronous behavior in dynamical  networks with adaptive couplings, The European Physical Journal - Special Topics, 2018. V. 227, № 10-11. P. 1051.
  9. V.S. Afraimovich, A.S. Dmitrichev, D.S. Shchapin, V.I. Nekorkin, The mean complexities in the regimes of dynamical networks with full oscillations binding // EPJ Special Topic. 2018. V. 227, № 10-11. P. 1231.
  10. O.V. Maslennikov, V.I. Nekorkin, Effects of structure-dynamics correlation on hierarchical transitions in heterogeneous oscillatory networks // EPJ Special Topic. 2018. V. 227, № 10-11. P. 1221.
  11. O.V. Maslennikov, V.I. Nekorkin, Hierarchical transitions in multiplex adaptive networks of oscillatory units //  CHAOS. 2018. V. 28, № 12. P. 121101.

2017

  1. Dmitrichev A.S., Zakharov D.G., Nekorkin V.I. Global stability of a synchronous regime in hub clusters of the power networks. // Radiophysics and quantum electronics. V. 60, № 6. P. 506-512.
  2. Щапин Д.С., Дмитричев А.С., Некоркин В.И. Химерные состояния в ансамбле линейно локально связанных бистабильных автогенераторов. // Письма в Журнал экспериментальной и теоретической физики. 2017. Т. 106, № 9-10. С. 591-596.
  3. Khazanov E.A., Maslennikov O.V., Ginzburg V.N., Kochetkov A.A., Nekorkin V.I. Third-order-nonlinear effects in single crystals with arbitrary orientation and in ceramics. // Optics Express. 2017. 25(23). P. 27968-27980.

2016

  1. V.V. Klinshov, Nekorkin V.I., and J. Kurths. Stability threshold approach for complex dynamical systems. New Journal of Physics. V. 18. № 1. 2016. P. 013004
  2. Kasatkin D.V., Nekorkin V.I. Dynamics of the phase oscillators with plastic couplings. Radiophysics and Quantum Electronics, 2016.
  3. Kirillov S.Yu., Nekorkin V.I., Complex dynamic thresholds and action-potential generation in the model of neural activity. Radiophysics and Quantum Electronics, 2016.

2015

  1. Klinshov V., Lucken L., Shchapin D., Nekorkin V., Yanchuk S. Emergence and combinatorial accumulation of jittering regimes in spiking oscillators with delayed feedback. Phys. Rev. E. 2015. Vol. 92, Issue 4, 042914.
  2. Maslennikov O.V., Nekorkin V.I. Evolving dynamical networks with transient cluster activity // Journal «Communications in Nonlinear Science and Numerical Simulation». V. 23. 2015. P. 314-320.
  3. Maslennikov O.V., Nekorkin V.I., Kurths J. Basin stability for burst synchronization in small-world networks of chaotic slow-fast oscillators. Physical Review E. V. 92. № 4. 2015. P. 042803.
  4. Klinshov V.V., Shapin D.S., Dmitrichev A.S., Nekorkin V.I., Andreyev Y.V. Cellular Automata for Modeling Wireless Sensor Networks. Nonlinear Phenomena in Complex Systems. V. 18. № 4. 2015. P. 429-442.
  5. Behdad R., Binczak S., Dmitrichev A.S., Nekorkin V.I., Bilbault J.M. Artificial electrical Morris- Lecar neuron. IEEE Transactions on Neural Networks and Learning Systems. V. 26. № 9. 2015. P. 1875-1884
  6. V. Klinshov, L. Lucken, D. Shchapin, V. Nekorkin, and S. Yanchuk, Multistable jittering in oscillators with pulsatile delayed feedback, Phys Rev Lett, vol. 114, no. 17, p. 178103, 2015.
  7. Kasatkin D.V., Nekorkin V.I. Dynamics of a network of interacting phase oscillators with dynamic couplings. Prikladnaya Nelineinaya Dinamika, 2015, V.23, №4, 58-70. (In Russian).

2014

  1. O.V. Maslennikov,     V.I.     Nekorkin,        Modular          networks         with     delayed coupling: synchronization and frequency control. Phys. Rev. E.  2014. Vol.  90, Issue 1, 012901.
  2. V.V. Klinshov, J. Teramae, V. I. Nekorkin, T. Fukai, Dense Neuron Clustering Explains Connectivity Statistics in Cortical Microcircuits. PLOS ONE, V.  9, I. 4, e94292, 2014.
  3. V.V. Klinshov, D.S.  Shchapin and V.I. Nekorkin, Cross-frequency  synchronization  of oscillators with time-delayed coupling, Phys. Rev. E, V. 90, 042923, 2014.
  4. Kirillov S.Yu., Nekorkin V.I. Dynamic saddle-node bifurcation of the limit cycles in the model of neuronal excitability. Radiophysics and Quantum Electronics, 2014, V. 57(11), 837-847.

2013

  1. A.S. Dmitrichev, V.I. Nekorkin, R. Behdad, S. Binczak and J.-M. Bilbault. Anti-phase wave patterns in a ring of electrically coupled oscillatory neurons. Eur. Phys. J. Special Topics, 2013, V. 222, 1–13.
  2. Klinshov V.V., Nekorkin V.I. The map with no predetermined firing order for the network of oscillators with time-delayed pulsatile coupling. Communications in Nonlinear Science and Numerical Simulation, 2013, Vol. 18, №4, pp. 973–977.
  3. Maslennikov O.V., Nekorkin V.I. Dynamic boundary crisis in the Lorenz-type map. Chaos, 2013, V. 23, № 2, p. 023129.
  4. Maslennikov O.V., Kasatkin D.V., Rulkov N.F., Nekorkin V.I. Emergence of antiphase bursting in two populations of randomly spiking elements.  Physical Review E, 2013, V.88, №4, p. 042907.
  5. Kirillov S.Yu., Nekorkin V.I. Relaxation oscillations and spike sequences in the nonautonomous neuronal-excitability model. Radiophysics and Quantum Electronics, 2013, V. 56(1), 36-50.
  6. Klinshov V.V., Nekorkin V.I. Synchronization of delay-coupled oscillator networks, Phys. Usp., 2013, 56, 1217–1229. DOI: 10.3367/UFNe.0183.201312c.13232012
  7. V.V. Klinshov, A.S. Dmitriev, V.I. Nekorkin, Simulation of wireless sensor networks using cellular automata, Achievements of Modern Radioelectronics, 2013, v. 3, p. 30-42 (in Russian)

2012

  1. V.I. Nekorkin, A.S. Dmitrichev, D.V. Kasatkin, V.S. Afraimovich, Reducing the sequential dynamics of excitatory neural networks to cellular automata, JETP Letters. 2012, v.95, N.9, p. 557-561.
  2. V.V. Klinshov, V.I. Nekorkin, “Delayed afterdepolarization and spontaneous secondary spiking in a simple model of neural activity”, Commun. Nonlinear. Sci. Numer. Simulat. 2012, v. 17, №1, p. 1438-1446.
  3. M. Courbage, O.V. Maslennikov, V.I. Nekorkin, Synchronization in time-discrete model of two electrically coupled spike-bursting neurons, Chaos, Solitons & Fractals. 2012, v.45, №5, p. 645–659.
  4. O.V.Maslennikov, V.I.Nekorkin. Discrete model of the olivo-cerebellar system: structure and dynamics, Radiophysics and Quantum Electronics. 2012, v. 55, N.3, p. 218-236.

2011

  1. V.V. Klinshov, V.I. Nekorkin, “Synchronization of time-delay coupled pulse oscillators”, Chaos. Solitons & Fractals. 2011, v.44, № 1-3. p. 98-107.
  2. V.I. Nekorkin, O.V. Maslennikov, “Spike-burst synchronization in an ensemble of electrically coupled discrete model neurons”, Radiophysics and Quantum Electronics. 2011, v. 54, № 1, p. 56-73.
  3. V.I. Nekorkin, A.S. Dmitrichev, D.V. Kasatkin, V.S. Afraimovich, “Relating the sequential dynamics of excitatory neural networks to synaptic cellular automata”, Chaos. 2011. V. 21(4), p. 043124-1–13.

2010

  1. V.I. Nekorkin, D.V. Kasatkin,A.S. Dmitrichev, Transient dynamics in a small ensemble of synaptically coupled Morris-Lecar neurons, Radiophysics and Quantum Electronics. 2010, v. 53, N.1, p.45-52.
  2. D.V. Kasatkin, V.I. Nekorkin, Self-referential phase reset phenomenon and phase clusters in ensembles of FitzHugh-Nagumo neurons, Int. J. Bifurcation and Chaos. 2010, v. 20, № 6, p.1803-1810.
  3. D.G. Zakharov, V.I. Nekorkin, “Synchronization in a model of interacting inferior olive cells with time-delayed coupling”, Int. J. Bifurcation and Chaos. 2010, v.20, № 6, p.1797-1801.
  4. V.I. Nekorkin, A.S. Dmitrichev, J.M. Bilbault, S. Binczak, Polymorphic and regular localized activity structures in a two-dimensional two-component reaction-diffusion lattice with complex threshold excitation, Physica D, 2010, v. 239, № 12, p.972-987.
  5. D.G. Zakharov, A.S. Kuznetsov and V.I. Nekorkin, A two-compartment phenomenological model of a dopaminergic neuron, Biophysics, 2010, v. 55, N.2, p. 239-245.
  6. M. Courbage, V.I. Nekorkin, “Map based models in neurodynamics”, Int. J. of Bif. And Chaos, 2010, v.20, № 6, p. 1631-1651.
  7. V.V. Klinshov, D.S. Shchapin, V.I. Nekorkin, Simulation of the neurodynamic system of working memory, Journal of Communications Technology and Electronics. 2010, V. 55, N7,  759-764.

1996-2009

  1. D.G. Zakharov, V.I. Nekorkin, Synchronization in a model of interacting inferior olive cells with variable electrotonic coupling, Biophysics, v. 54, N.1, 46-52, 2009.
  2. V.V. Klinshov, V.I. Nekorkin, "Activity clusters in dynamical model of the working memory system", Network: Computation in Neural Systems, v.19, №2, 119-135, 2008
  3. V.V. Klinshov, V.I. Nekorkin, Stimulus-induced phase reset in HindMarsh-Rose model, JETP Letters,v. 87, N.2, 85-89, 2008.
  4. V.V. Klinshov, V.I. Nekorkin, "Working memory in the network of neuron-like units with noise", Int. J. Bifurc. and Chaos, v. 18, №9, 2743-2752, 2008.
  5. V.I. Nekorkin, D.S. Shapin, A.S. Dmitrichev, V.B. Kazantsev, S. Binczak, J.M. Bilbault, "Heteroclinic Contours and Self-Replicated Solitary Waves in a Reaction-Diffusion Lattice with Complex Threshold Excitation", Physica D, v. 237, №19, 2463-2475, 2008.
  6. Nekorkin V.I. Nonlinear oscillations and waves in neurodynamics, Phys. Usp., 51, 295–304 (2008); DOI: 10.1070/PU2008v051n03ABEH006493
  7. M. Courbage, V.I. Nekorkin, L.V. Vdovin, "Chaotic oscillations in a map-based model of neuronal activity", Int. J. Chaos, v.17, p. 043109, 2007.
  8. V.B. Kazantsev, V.I. Nekorkin, S. Morfu, J.M. Bilbault, P. Marquie, "Propagating interfaces in a two-layer bistable neural network", Int. J. Bifurc. and Chaos, v.16, №3, p. 589-601, 2006.
  9. S. Binczak, S. Jacquir, J.M. Bilbault, V.B. Kazantsev, V.I. Nekorkin, "Experimental study of с electrical FitzHugh-Nagumo neurons with modified excitability", Neural Networks, v.19, №5, p. 684-693, 2006.
  10. V.V. Klinshov, V.B. Kazantsev, V.I. Nekorkin, "Stimulus-induced chaotic synchronization of Chua's oscillators", Int. J. Bifurc. and Chaos, v.16, №10, 2006.
  11. V.B. Kazantsev, V.I. Nekorkin, S. Binczak, S. Jacquik, J.M. Bilbault, "Spiking dynamics of interacting oscillatory neurons", Chaos, v. 15, p. 023103, 2005.
  12. M.G. Velarde, V.I. Nekorkin, V.A. Makarov, V.I. Makarenko, R.Llinas, "Clustering behavior in a three-layer system mimicking olivo-cerebellar dynamics", Neural Networks, v. 17, p. 191-203, 2004.
  13. V.B. Kazantsev, V.I. Nekorkin, V.I. Makarenko and R. Llinas, "Self-referential phase reset based on inferior olive oscillator dynamics", Proc. Natl. Acad. Sci. USA, vol. 101, №52, p. 18183-18188, 2004.
  14. M. Courbage, V.B. Kazantsev, V.I. Nekorkin, M. Senneret, "Emergence of chaotic attractor and anti-synchronization for two coupled monostable neurons", Chaos, v.12, p. 1148-1156, 2004.
  15. V.B. Kazantsev, V.I. Nekorkin, S. Binczak and J.M. Bilbault, "Spiking patterns emerging from wave instabilities in one-dimensional neural lattice", Phys. Rev. E 68, p. 017201, 2003.
  16. S. Binczak, V.B. Kazantsev, V.I. Nekorkin and J.M. Bilbault, "Experimental study of bifurcations in a modified FitzHugh-Nagumo cell", Electronics Letters, Vol. 39, №13, 961-962, 2003.
  17. V.B. Kazantsev, V.I. Nekorkin, V.I. Makarenko and R. Llinas, "Olivo-cerebellar clusterbased universal control system", Proc. Natl. Acad. Sci. USA, vol. 100, №22, p. 13064-13068, 2003.
  18. V.I. Nekorkin, V.B. Kazantsev, "Autowaves and solitons in a three-component reaction-diffusion system", Int. J. bifurcation and Chaos, Vol. 12, №11, p. 2421-2434, 2002.
  19. S. Morfu, V.I. Nekorkin, J.M. Bilbault and P. Marquie, "Wave fronts propagation failure in an inhomoheneous discrete Nagumo chain: Theory and experiments", Phys. Rev. E, v. 66, p. 046127, 2002.
  20. M.G. Velarde, V.I. Nekorkin, V.B. Kazantsev, V.I. Makarenko, R. Llinas, "Modeling Inferior Olive Dynamics", Neural Networks, v. 15, p. 5-10, 2002.
  21. V.I. Nekorkin, V.B. Kazantsev, M.G. Velarde, “Synchronization in two-layer bistable coupled map lattices”, Physica D, Vol. 151, p. 1-26, 2001.
  22. V.A. Makarov, V.I. Nekorkin, M.G. Velarde, “Phase resetting, clusters and waves in a lattice of oscillatory units”, Int. J. Bifurcation and Chaos, Vol. 11, №1, p. 109-122, 2001.
  23. V.A. Makarov, V.I. Nekorkin, M.G. Velarde, “Spiking behavior in a noise-driven system combining oscillatory and excitatory properties”, Phys. Rev. Lett., Vol. 86, №15, p. 3431-3434, 2001.
  24. V.I. Nekorkin, V.B. Kazantsev, S. Morfu, J.M. Bilbault, P. Marquie, “Theoretical and experimental study of two discrete coupled Nagumo chains”, Phys. Rev. E, Vol. 64, p. 036602, 2001.
  25. V.B. Kazantsev, V.I. Nekorkin, D.V. Artyuhin, M.G. Velarde, “Synchronization, reentry, and failure of spiral waves in a two-layer discrete excitable system”, Phys. Rev. E, Vol. 63, p. 016212-016219, 2001.
  26. V.I. Nekorkin, V.B. Kazantsev, M.G. Velarde, “Spike-burst and other oscillations in a system composed of two coupled, drastically different oscillators”, The European Physical Journal B, v. 11, p. 147-155, 2000.
  27. V.I. Nekorkin, M.L. Voronin, M.G. Velarde, “Clusters in an assembly of globally coupled bistable oscillators”, The European Physical Journal B, vol. 9, p. 533-543, 1999.
  28. V.I. Nekorkin, V.B. Kazantsev, D.V. Artyuhin, M.G. Velarde, “Wave propagation along interacting fiber-like lattices”, The European Physical Journal B, The European Physical Journal B, vol. 11, p. 677-685, 1999.
  29. V.I. Nekorkin, V.B. Kazantsev, M.G. Velarde, “Image transfer in multi-layered assemblies of lattices of bistable oscillators”, Phys. Rev. E, v. 59, №4, 1999.
  30. V.I. Nekorkin, V.B. Kazantsev, M.I. Rabinovich, M.G. Velarde, “Controlled disordered patterns and information transfer between coupled neural lattices with oscillatory states”, Phys. Rev. E, v.57, №3, p. 3344-3351, 1998.
  31. V.I. Nekorkin, V.A. Makarov, M.G. Velarde. Clustering and phase resetting in a chain of bistable nonisochronous oscillators, Phys. Rev. E, v.58,  №5, p. 5742-5747, 1998.
  32. V.I. Nekorkin, V.B. Kazantsev, M.G. Velarde, L.O. Chua. Pattern interaction and spiral waves in a two-layer system of excitable units, Phys. Rev. E, v.58, №2, p. 1764-1773, 1998.
  33. V.I. Nekorkin, V.B. Kazantsev, M.G. Velarde. Mutual synchronization of two lattices of bistable elements, Phys. Lett. A236, p. 505-512, 1997.
  34. V.B. Kazantsev, V.I. Nekorkin, M.G. Velarde. Pulses, fronts and chaotic wave trains in a one-dimensional Chua's lattice. Int. J. Bif. Chaos, v.7, №8, p. 1775-1790, 1997.
  35. M.G. Velarde, V.I. Nekorkin, V.B. Kazantsev and J. Ross. The emergence of form by replication. Proc. Nat. Acad. Sci. USA, v. 94, p. 5024-5027, 1997.
  36. V.I. Nekorkin, V.A. Makarov, V.B. Kazantsev, M.G. Velarde. Spatial disorder and pattern formation in lattices of coupled bistable systems, Physica D, v. 100, p. 330-342, 1997.
  37. V.I. Nekorkin, V.A. Makarov, M.G. Velarde. Spatial disorder and waves in a ring chain of bistable oscillators, Int. J. Bifurcation and Chaos, v. 6, p. 1845-1858, 1996.
  38. V.I. Nekorkin, V.B. Kazantsev, L.O. Chua. Chaotic attractors and waves in a one-dimensional array of modified Chua's circuits, Int. J. Bifurcation and Chaos, v. 6, p. 1295-1300, 1996.
  39. V.I. Nekorkin, V.B. Kazantsev, M.G. Velarde. Travelling waves in a circular array of Chua's circuits, Int. J. Bifurcation and Chaos, v. 6, p. 473-484, 1996.
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