# Publications

**Papers in refereed Journals**

A.N. Silchenko, I. Adamchic, N. Pawelczyk, C. Hauptmann, M. Maarouf, V. Sturm and P.A. Tass,

Data-driven approach to the estimation of connectivity and time delays in the coupling of interacting neuronal subsystems, Journal of Neuroscience Methods, v.191, p. 32-44, (2010).

P.A. Tass, A.N. Silchenko, C. Hauptmann, U.B. Barnikol and E.J. Speckmann,

Long-lasting desynchronization in rat hippocampal slice induced by coordinated reset stimulation, Physical Review E, v. 80, p. 011902-07, (2009).

I.A. Khovanov D.G. Luchinskyand, McClintock P.V.E. and A.N. Silchenko, Fluctuational escape from chaotic attractors in multistable systems, International Journal of Bifurcation and Chaos, v.18, p. 1727-1739, (2008).

A.N. Silchenko and P.A. Tass, Computational modeling of paroxysmal depolarization shifts in neurons induced by the glutamate release from astrocytes, Biological Cybernetics, v . 98, 61-74 (2008).

M.Yu. Bragnikov, G.V. Kolmakov, L.P. Megov-Deglin, A.A. Levchenko, A.N. Silchenko and P.V.E. McClintock, Nonstationary nonlinear phenomena on the charged surface of liquid hydrogen, Journal of Low Temperature Physics, v.145, p. 311-335, (2006).

S. Beri, D.G. Luchinsky, R. Mannella, A.N. Silchenko, P.V.E. McClintock,

Solution of the boundary value problem for optimal escape in continuous stochastic systems and maps, Physical Review E, v.72, p. 036131-16, (2005).

A.N. Silchenko, S. Beri, D. Luchinsky and P.V.E. McClintock, Fluctuational transitions accross the different kinds of fractal basin boundaries, Physical Review E, v. 71, 046203-14 (2005).

M.Yu. Bragnikov, G.V. Kolmakov, L.P. Megov-Deglin, A.A. Levchenko, A.N. Silchenko and P.V.E. McClintock, Decay of the turbulent cascade of capillary waves on the charged surface of liquid hydrogen,Journal of Low Temperature Physics, v.138, p. 519-524, (2005).

M.Yu. Bragnikov, G.V. Kolmakov, L.P. Megov-Deglin, A.A. Levchenko, A.N. Silchenko and P.V.E. McClintock, Decay of Capillary Turbulence on the Charged Surface of Liquid Hydrogen, JETP Letters, v.80, p. 90-94, (2004).

G.V. Kolmakov, L. P. Megov-Deglin, A.A. Levchenko, M. Yu. Bragnikov, A.N. Silchenko and P.V.E. McClintock, Quasi-Adiabatic Decay of Capillary Turbulence on the Charged Surface of Liquid Hydrogen, Physical Review Letters, v. 93, p. 074501-03, (2004).

A.N. Silchenko, S. Beri, D. Luchinsky and P.V.E. McClintock, Fluctuational transitions through a fractal basin boundary, Physical Review Letters, v.91, p. 174104-07, (2003).

A.N. Silchenko, S. Beri, D. Luchinsky and P.V.E. McClintock, Fluctuational transitions across locally-disconnected and locally-connected fractal basin boundaries, Applied Nonlinear Dynamics, v.11, p. 38-43, (2003).

V.V. Sherstnev, A. Krier, A.G. Balanov, N.B. Janson, A.N. Silchenko and P.V.E. McClintock, Mid-infrared lasing induced by noise, Fluctuations and Noise Letters, v. 3, p. 91-95, (2003).

A.N. Silchenko, D. Luchinsky and P.V.E. McClintock, Noise-induced escape through a fractal basins boundary: saddle cycles and hierarchy of instabilities in chaotic systems, Physica A, v. 327, p. 371-376, (2003).

S.M. Soskin, R. Mannella, M. Arrayas, and A.N. Silchenko, Strong enhancement of noise-induced escape by transient chaos, Physical Review E, v. 63, p. 051111 (2001).

A. Silchenko and Chin-Kun Hu, Multifractal characterization of stochastic resonance, Physical Review E, v. 63, p. 041105 (2001).

V.S. Anishchenko, A.B. Neiman, A.N. Silchenko and I.A. Khovanov, Phase synchronization of switchings in stochastic and chaotic bistable systems, Dynamics and Stability of Systems, v. 14, p. 211-231, (1999).

A. Silchenko, T. Kapitaniak, V. Anishchenko, Noise-enhanced phase locking in a stochastic bistable system driven by a chaotic signal, Physical Review E, v. 59, p. 1593-1599 (1999).

A. Neiman, A. Silchenko, V. Anishchenko, L. Schimansky-Geier, Stochastic resonance: noise enhanced phase coherence, Physical Review E, v. 58, p. 7118-7125 (1998).

V.S. Anishchenko, A.N. Silchenko and I.A. Khovanov, Mutual synchronization and desynchronization of Lorenz systems,

Technical Physics Letters, v. 24, p. 257-259, (1998).

A.N. Silchenko, T. Kapitaniak T., V.S. Anishchenko, Phase synchronization of switching processes in a stochastic bistable system with an external aperiodic influence, Technical Physics Letters, v. 24, p. 712-714, (1998).

A.N. Silchenko, A.B. Neiman, V.S. Anishchenko, Phase synchronization of switchings in stochastic bistable systems,

Technical Physics Letters, v. 24, p. 586-589, (1998).

V.S. Anishchenko, A.N. Silchenko and I.A. Khovanov, Synchronization of switching processes in coupled Lorenz systems, Physical Review E, v. 57, p. 316-322 (1998).

V.S. Anishchenko, A.N. Silchenko and I.A. Khovanov, Mutual synchronization of switchings in coupled Lorenz systems,

Technical Physics Letters, v. 23, p. 14-19, (1997).

V.V. Astakhov, A.V. Shabunin, A.N. Silchenko, G.I. Strelkova and V.S. Anishchenko, Nonlinear Dynamics of Two Chua's Circuits Coupled through a Capacitance, Journal of Communications Technology and Electronics, v. 42, p. 294-302, (1997).

V.V. Astakhov, A.N. Silchenko, G.I. Strelkova, A.V. Shabunin and V.S. Anishchenko, Control and synchronization of chaos in a system of coupled generators, Journal of Communications Technology and Electronics, v. 41, p. 1323-1331, (1996).

**Papers in refereed Conference Proceedings**

M.Yu. Bragnikov, G.V. Kolmakov, L.P. Megov-Deglin, A.A. Levchenko, A.N. Silchenko and P.V.E. McClintock,

Decay of the turbulent cascade of capillary waves on the charged surface of liquid hydrogen,

Proceedings of the International Symposium on Quantum Fluids and Solids (QFS 2004) Univ Trento, Povo, ITALY, JUL 05-09, 2004.

D.G. Luchinsky, P.V.E. McClintock, A.N. Silchenko, V.N. Smelyanskiy, M.I. Dykman,

Modelling and controlling of stochastic dynamics of complex nonlinear systems, Noise in Complex systems and Stochastic Dynamics II 5471: 145-158, (2004).

A.N. Silchenko, S. Beri, D. Luchinsky and P.V.E. McClintock, Fluctuational transitions across locally-disconnected and locally-connected fractal basin boundaries, Proceedings of the 3rd International Conference on Control of Oscillations and Chaos, St.Petersburg, August 20-22, ed. by A.L. Fradkov, Institute of Electrical and Electronics Engineers, Inc., v. 2, p. 372-374 (2003).

A.N. Silchenko, S. Beri, D. Luchinsky and P.V.E. McClintock, Escape from a chaotic attractor with fractal basin boundaries,

Noise in Complex systems and Stochastic Dynamics, Editors: SchimanskyGeier L, Abbott D, Neiman A, VanDenBroeck C

PROCEEDINGS OF THE SOCIETY OF PHOTO-OPTICAL INSTRUMENTATION ENGINEERS (SPIE) v. 5114 p. 102-107, (2003)

S. Beri, A.N. Silchenko, D. Luchinsky and P.V.E. McClintock, Solution of the boundary value problem for nonlinear flows and maps,

Noise in Complex systems and Stochastic Dynamics, Editors: SchimanskyGeier L, Abbott D, Neiman A, VanDenBroeck C

PROCEEDINGS OF THE SOCIETY OF PHOTO-OPTICAL INSTRUMENTATION ENGINEERS (SPIE) v. 5114 p. 372-382, (2003).

S.M. Soskin, R. Mannella, M. Arrays and A.N. Silchenko, Drastic reduction of the activation barrier by a moderately weak periodic driving,

3rd International Conference on Unsolved Problems of Noise and Fluctuations in Physics, Biology and High Technology, SEP 03-06, 2002 Unsolved problems of noise and fluctuations, p. 421-427, (2003),

I.A. Khovanov, D.G. Luchinsky, R. Mannella, P.V.E. McClintock and A.N. Silchenko, Fluctuational escape from chaotic attractors,

3rd International Conference on Unsolved Problems of Noise and Fluctuations in Physics, Biology and High Technology, Sep. 03-06, 2002 Unsolved problems of noise and fluctuations, p. 435-442, (2003).

S.M. Soskin, R. Mannella, A.B. Neiman, A.N. Silchenko, D.G. Luchinsky, P.V.E. McClintock, A criterion of chaos onset in weakly dissipative periodically driven systems, Stochaos: Stochastic and Chaotic Dynamics in the Lakes, eds. D S Broomhead, E.A. Luchinskaya,

P.V.E. McClintock and T. Mullin, p. 443-449, (2000).

V.S. Anishchenko and A.N. Silchenko, Phase synchronization of switchings in periodically driven stochastic and chaotic bistable systems,

{\it Proceedings of NOLTA'98}, (International Symposium on Nonlinear Theory and its Applications), Switzerland, Sept. 14--17 1998, Presses Polytechniques et Universitaires Romandes, vol. 2, pp. 523-526.

A.N. Silchenko and V.S. Anishchenko, Noise-enhanced phase coherence in stochastic bistable systems, Abstracts: CHAOS'98 , Saratov, Russia, Saratov State University, p. 56-57, (1998).

A.N. Silchenko, I.A. Khovanov, and V.S. Anishchenko, Mutual synchronization of switchings in coupled chaotic bistable systems,

Proceedings of the 1st International Conference on Control of Oscillations and Chaos, St.Petersburg, August 27-29, ed. by F.L. Chernousko and A.L. Fradkov, Institute of Electrical and Electronics Engineers, Inc., v. 2, p. 372-375, (1997).

V.S. Anishchenko, A.N. Silchenko and I.A. Khovanov, Mutual synchronization of switchings in coupled Lorenz systems,

Book of Abstracts: ICND-96 (International Conference on Nonlinear Dynamics), Saratov, Saratov State University, 1996, p. 19.

V.V. Astakhov, A.N. Silchenko, G.I. Strelkova, A.V. Shabunin and V.S. Anishchenko, Controlling chaos in the system of coupled Chua's oscillators, Book of Abstracts: ICND-96 (International Conference on Nonlinear Dynamics), Saratov, Saratov State University, p. 19, (1996).