Alexey Kuznetsov
List of Publications

I. Papers in reviewed journals
  1. A.Y. Kuznetsova, A.S. Kuznetsov, R.Deth, Working memory modulation by D4 dopamine receptor-mediated phospholipid methylation. submitted to J. Comp. Neuroscience. 2008.
  2. A.S. Kuznetsov, L. Rubchinsky, N. Kopell, C. Wilson, Models of Midbrain Dopaminergic Neurons. Scholarpedia, pp.23551, 2007.
  3. L. Rubchinsky, A. Kuznetsov, V. Wheelock, K. Sigvardt, Tremor. Scholarpedia, pp. 22658, 2007.
  4. A.S. Kuznetsov, C. Wilson, N. Kopell, Transient high-frequency firing in a coupled-oscillator model of the mesencephalic dopaminergic neuron. J. Neurophysiology. 95:932-947, 2006.
  5. A.S. Kuznetsov, G.L. Forty, V.D. Shalfeev, Analysis of Pattern Formation in a Chain of Coupled Bistable Elements. Int. J. Bifurcation and Chaos 16(3):741-747, 2006.
  6. A.S. Kuznetsov, V. D. Shalfeev, L. S. Tsimring. Regularization of dynamics in an ensemble of nondiffusively coupled chaotic elements. Phys. Rev. E 72, p. 046209 2005.
  7. A.S. Kuznetsov, M. Kaern, N. Kopell, Synchrony in a Population of Hysteresis-based Genetic Oscillators. SIAM Applied Math., V. 65, N 2, pp. 392-425, 2004.
  8. A.S. Kuznetsov, J. Kurths, Stable Heteroclinic Cycles for ensembles of chaotic oscillators, Phys. Rev. E 66, p. 026201, 2002.
  9. Kozlov A.K., Sushchik M.M., Molkov Ya.I., Kuznetsov A.S., Bistable phase synchronization and chaos in a system of coupled Van der Pol-Duffing oscillators. Int. J. Bifurcation and Chaos, V. 9, N 12, pp. 2271-2277, 1999.
  10. A.S. Kuznetsov, V.D. Shalfeev, Analysis of regularization processes in ensemble of coupled chaotic elements. Radiophysics and Quantum Electronics, V. 41. N 12, pp. 1056-1060, 1998.
  11. V.D. Shalfeev, A.S. Kuznetsov, Controlling pattern formation in a CNN of Chua's circuits. Int. J. Bifurcation & Chaos, V. 6, N 11, pp. 2127-2144, 1996.
  12. A.S.Kuznetsov, V.D.Shalfeev, Structure formation in the array of coupled active elements. Radiophysics and Quantum Electronics, V. 38, N 3-4, pp. 110-115, 1995.
  13. Kozlov A.K., Sushchik M.M., Molkov Ya.I., Kuznetsov A.S., Phase synchronization bistability and chaos in system of two identical Van der Pol-Duffing oscillators. Applied Nonlinear Dynamics. V. 7, N 1, pp. 68-80, (in Russian with abstract in English), 1999.
  14. Molkov Ya.I., Sushchik M.M., Kuznetsov A.S., Kozlov A.K., Zakharov D.G., Dynamical model of locomotor-like movements of human evoked by muscle vibration. Applied Nonlinear Dynamics. V. 7, N 2-3, pp. 107-121 (in Russian with abstract in English), 1999.
  15. A.S.Kuznetsov, Dynamics of modified Chua's circuit. Bulletin of University of Nizhny Novgorod. Radiophysica, N 1, pp. 135-144 (in Russian), 1998.
  16. Molkov Ya.I., Sushchik M.M., Kuznetsov A.S., Kozlov A.K., Zakharov D.G., A dynamical model of locomotor-like movements evoked by muscle vibration in humans. Bulletin of University of Nizhny Novgorod. Radiophysics, N 1, pp. 63-88 (in Russian), 1998.
  17. Kozlov A.K., Sushchik M.M., Molkov Ya.I., Kuznetsov A.S., Symmetry breaking, multistability and chaos in the system of two coupled identical Van der Pol-Duffing oscillators. Bulletin of University of Nizhny Novgorod. Radiophysics, N 1, pp. 89-104 (in Russian), 1998.
  18. A.S.Kuznetsov, V.D.Shalfeev, Structure formation and regularization in the system of globally coupled oscillators. Bulletin of University of Nizhny Novgorod. Nonlinear dynamics - synchronization and chaos, V. 2, pp. 84-92. (in Russian), 1997.


II. Preprints
  1. A.S. Kuznetsov, V.D. Shalfeev and G.L.Forti, Regularization of Dynamics in an Ensemble of Multicoupled Chaotic Elements. Dipartimento di Matematica, Universita' degli studi di Milano, Milano, Italia, 2000.
  2. A.S. Kuznetsov, V.D. Shalfeev and G.L.Forti, Stationary Spatial Patterns in a Chain of Bistable Elements with Unidirectional Couplings. Dipartimento di Matematica, Universita' degli studi di Milano, Milano, Italia, 2000.


III. Papers in conference proceedings
  1. A.S. Kuznetsov, Chaotic Dynamics of Oscillators with Frequency Control, Proc. of the IEEE Workshop on Nonlinear Dynamics of Electronic Systems (NDES2000), Catania, Italy, 18-20 May, 2000, pp 113-116.
  2. A.S. Kuznetsov, Suppression of oscillations in a system of two nonlinearly coupled Chua's circuit. Proc. of the IEEE Workshop on Nonlinear Dynamics of Electronic Systems (NDES2000), Catania, Italy, 18-20 May, 2000, pp 259-262.
  3. A.S. Kuznetsov and V.D. Shalfeev, Stationary Spatial Patterns in CNN of Bistable Cells with Nonlinear Couplings. Proc. of the IEEE Workshop on Cellular Neural Networks and their Applications (CNNA2000), Catania, Italy, 23-25 May, 2000, pp. 413-418.
  4. A.S. Kuznetsov and V.D. Shalfeev, Dynamics of a CNN with Variable Number of Couplings. Proc. of the IEEE Workshop on Cellular Neural Networks and their Applications (CNNA2000), Catania, Italy, 23-25 May, 2000, pp. 419-424.
  5. M.M.Sushchik, A.S.Kuznetsov, A.K.Kozlov, and Ya.I.Molkov, Chaotic Synchronization of Long Chains by a Small Number of Couplings. Proc. of International Conference on Control of Oscillations and Chaos, St. Petersburg, Russia, 5-7 July, 2000, pp. 185-186.
  6. A.S. Kuznetsov and V.D. Shalfeev, Analysis of regularization of dynamics in a circular chain of bistable chaotic elements with variable number of couplings. Proc. of International Conference on Control of Oscillations and Chaos, St. Petersburg, Russia, 5-7 July, 2000, pp. 365-368.
  7. A.S. Kuznetsov and V.D. Shalfeev, Description of System Dynamics by Low-Dimensional Models. Proc. of International Symposium on Nonlinear Theory and its Applications (NOLTA2000), Dresden, Germany, Sep. 17-21, 2000, pp. 575-578.
  8. D.G.Zakharov, M.M.Sushchik and A.S. Kuznetsov, The Effect of Additive and Multiplicative Noise on the Dynamics of Locomotor Central Pattern Generator. Proc. of International Symposium on Nonlinear Theory and its Applications (NOLTA2000), Dresden, Germany, Sep. 17-21, 2000, pp. 661-664.
  9. A.K.Kozlov, M.M.Sushchik, Ya.I.Molkov, A.S.Kuznetsov, "Phase bistability and chaos in a system of two identical Van der Pol-Duffing oscillators" Proc. 1998 International Symposium on Nonlinear Theory and its Applications (NOLTA'98), Crans - Monana, Switzerland, 1998, V. 2, pp. 527-530.
  10. Ya.I.Molkov, M.M.Sushchik, A.S.Kuznetsov, A.K.Kozlov, D.G.Zakharov, "Dynamical model for locomotor - like movements of humans" Proc. 1998 International Symposium on Nonlinear Theory and its Applications (NOLTA'98), Crans - Monana, Switzerland, 1998, V. 3, pp. 1325-1328.
  11. A.K.Kozlov, M.M.Sushchik, Ya.I.Molkov, A.S.Kuznetsov, "Bistable phase synchronization and chaos in a system of coupled Van der Pol – Duffing oscillators" Proc. of International Workshop on "Synchronization, Pattern Formation and Spatio - Temporal Chaos in Coupled Chaotic Oscillators", University of Santiago de Compostella, Santiago de Compostella, Spain, June 7-10, 1998, p. 20.
  12. V.D.Shalfeev, A.S.Kuznetsov "Structure formation and regularization in an array of globally coupled oscillators", Pros. of the third international specialist workshop on nonlinear dynamics of electronic systems NDES'97, Moscow 1997, pp. 347-351.
  13. V.D.Shalfeev, G.V.Osipov, A.S.Kuznetsov "Spatio-temporal dynamics in Chua's circuits networks". Pros. of the third international specialist workshop on nonlinear dynamics of electronic systems NDES'95, ed. M.P.Kennedy, University College Dublin, 1995, pp. 299-302.


+ Abstracts (the total number is approximately 25).