CURRICULUM VITAE
Name: Nikolai F. Rulkov
Address:
University of California
San Diego, CA 92093-0402
Phone: (858) 534-6876
FAX: (858) 534-7664
e-mail: nrulkov@ucsd.edu
http://inls.ucsd.edu/~rulkov/
Education:
M. Sc. Physics, Gorky State University,
Gorky, USSR, 1983
Ph.D. Physics, Nizhny Novgorod State University,
Nizhny Novgorod, USSR, 1991
POSITIONS:
April,2004 - present:
Research Scientist,
Information Systems Laboratories Inc.
San Diego
July,2001 - present:
Associate Research Scientist,
Institute for Nonlinear Science,
University of California, San Diego
March,1995 - June,2001:
Assistant Research Scientist,
Institute for Nonlinear Science,
University of California, San Diego
June,1993 - March,1995:
Postgraguate Research Physicist,
Institute for Nonlinear Science,
University of California, San Diego
February, 1993 - May, 1993:
Visiting Assistant Research Engineer,
Electronics Research Laboratory,
University of California, Berkeley
September, 1991 - January, 1993:
Senior lecturer,
Radiophysics Department,
Nizhny Novgorod State University,
Nizhny Novgorod, USSR
November, 1983 - January, 1993:
Assistant Research Scientist,
Research Scientist, Senior Research Scientist,
Radiophysics Department,
Nizhny Novgorod State University,
Nizhny Novgorod, USSR
OTHER:
- Visiting Scientist, U. N. E. D., Madrid,
1990, 1991, 1992
- Visiting Scientist, Institute for Nonlinear Science,
University of California, San Diego, January 1993
- Visiting Scientist, Instituto Pluridisciplinar,
University Complutense, Madrid, 1994
SPEAKER AT:
- UCSD/Nizhni Novgorod Nonlinear Science School, Nizhny Novgorod, April 1992.
- UCSD/Nizhni Novgorod Nonlinear Science School, San Diego, CA, January 1993.
- Chaos in Communications, SPIE Annual Meeting, San Diego, CA, July 1993.
- 2-nd Experimental Chaos Conference, Washington DC, October 1993.
- Naval Research Laboratory, Washington DC, October 1993.
- Escuela de Fisico-Quimica de Fluidos de la UIMP: Caos y
turulencia, Santander, Spain, September 1994.
- Third SIAM Conference on Applications of Dynamical Systems,
Snowbird, Utah, May 1995.
- Forth SIAM Conference on Applications of Dynamical Systems,
Snowbird, Utah, May 1997.
- 5-th International School on Chaotic Oscillations and Pattern
Formation,
CHAOS'98, Saratov, Russia, October 1998.
- Fifth SIAM Conference on Applications of Dynamical Systems,
Snowbird, Utah, May 1999.
- Instituto Pluridisciplinar Unidad de Fluidos,
Universidad Complutense de Madrid, Spain, June 24, 1999.
- 7th International Conference on Advances in
Communications and Control, TELECOMMUNICATIONS/SIGNAL
PROCSESSING, Athens, Greece, July 1999.
- Instituto de Investigacion en Communicacion Optica,
Universidad Autonoma de San Luis Potosi, Mexico, November 1999.
- Annual APS March Meeting 2000, Mineapolis, Minnesota,
March 20-24, 2000.
- University of Milan, June, 2000.
- Symposium on Synchronization of Chaotic Systems, Abdus Salam
International Centre for Theoretical Physics, Miramare, Trieste,
Italy, July 3 - 5, 2000.
- Sixth SIAM Conference on Applications of Dynamical Systems,
Snowbird, Utah, May 2001.
- PROGRESS IN NONLINEAR SCIENCE, International Conference
dedicated to the 100th Anniversary of A.A. Andronov,
Nizhny Novgorod, Russia, July 2-6, 2001.
-
Department of Physics, Potsdam University, Germany, December, 2001.
-
Colloquium, Physikalisches Institute, Georg-August-Universitat Gouttingen,
Germany, December 2001.
-
SYNCHRONIZATION IN PHYSICS AND NEUROSCIENCES, 256. Wilhelm und Else
Heraeus- Seminar, 10-12 December 2001 at Physikzentrum Bad Honnef, Germany
-
IASTED, Communication, Internet and Information Technology, St. Thomas, US Virgin
Islands, November 18-20, 2002.
-
International Nonlinear Sciences Conference: Research and Applinations in the Life Sciences.
Vienna, Austria, February 7-9, 2003.
-
Seminar, Center for Nonlinear Science. Georgia Institute of Technology,
Atlanta, March 20, 2003.
-
SIAM Conference on Applications of Dynamical Systems,
Snowbird, Utah, May 2003.
-
Topical Problems of Nonlinear Wave Physics, NWP-2003,
Nizhny Novgorod-Moscow-Nizhny Novgorod, Russia, September 6-12, 2003.
-
Annual Neuroscience Meeting,
New Orleans, November 6-12, 2003.
-
Annual Neuroscience Meeting,
San Diego, October 23-27, 2004.
-
SIAM Conference on Applications of Dynamical Systems,
Snowbird, Utah, May 2005.
-
Annual Neuroscience Meeting,
Washington, DC, November 12-16, 2005.
-
Origin and Regulation of Bursting Activity in Neurons,
Atlanta, April 7-8, 2006.
-
6th Crimean School and Workshops:
Nonlinear Dynamics, Chaos, and Applications,
Yalta, Crimea, Ukraine, May 15-26, 2006.
PATENTS
- H.D.I. Abarbanel, J.U. Lemke, L.S. Tsimring, L.N. Korzinov,
P.H. Bryant, M.M. Sushchik, and N.F. Rulkov. Multilevel signal equalization
utilizing nonlinear maps
US Patent: 6381083, 2002
- H.D.I. Abarbanel, L.E. Larson, N.F. Rulkov, M.M. Sushchik,
L.S. Tsimring, and A.R. Volkovskii. Chaotic carrier pulse position
modulation communication system and method
US Patent: 06310906, 2001
- H. D. I. Abarbanel, N. F. Rulkov, L.S.Tsimring, and M. I.
Rabinovich. Chaotic communication apparatus and method
for use with a wired or wireless transmission link.
Patent: US5923760 , 1999
PUBLICATIONS
- M. Bazhenov, N.F. Rulkov, J.M. Fellous and I. Timofeev. Role of Network Dynamics in Shaping Spike Timing Reliability.
Phys. Rev. E. 72 , (2005) 041903.
- A.R.Volkovskii, L.S.Tsimring, N.F.Rulkov, and I. Langmore,
Spread Spectrum Communication System with Chaotic Frequency Modulation,
CHAOS , 15 , (2005) 033101.
- L.S. Tsimring, N.F.Rulkov, M.L.Larsen, M.Gabbay. Repulsive synchronization in an
array of phase oscillators. Phys. Rev. Lett. 95 , (2005) 014101.
- N.F. Rulkov, I. Timofeev, M. Bazhenov. Oscillations in Large-Scale Cortical Networks: Map-Based Model.
Journal of Computational Neuroscience , 17 (2004) 203-223.
- A.L. Shilnikov and N.F. Rulkov. Subthreshold oscillations in a map-based neuron model.
Physics Letters , A 328 (2004) 177-184.
- E. Campos, J. Urias and N.F. Rulkov. Multimodal synchronization of chaos.
CHAOS 14 , (2004) 48.
- A.L. Shilnikov and N.F.Rulkov.
Origin of Chaos in a Two-Dimensional Map Modeling Spiking-Bursting Neural Activity.
International Journal of Bifurcation and Chaos , 13
(2003) 3325.
- N.F. Rulkov and V.S. Afraimovich. Detectability of nondifferenciable generalized synchrony.
Phys. Rev. E. 67 , (2003) 066218.
- N.F. Rulkov, M.A. Vorontsov and L. Illing. Chaotic Free-Space Laser Communication over
Turbulent Channel. Phys. Rev. Lett. 89 , (2002) 277905.
- V. Afraimovich, A. Cordonet and N.F. Rulkov. Generalized synchronization of chaos in
noninvertible maps. Phys. Rev. E. 66 , (2002) 016208.
- N.F. Rulkov. Modeling of spiking-bursting neural behavior using two-dimensional map.
Phys. Rev. E. 65 , (2002) 041922.
- M.I. Rabinovich and N. F. Rulkov. Nonlinear Dynamics of Dissipative Systems: Yesterday,
Today, and Tomorrow. Izestiya VUZ: Applied Nonlinear Dynamics 9 , (2001) 96.
- G.M. Maggio, N.F. Rulkov, and L. Reggiani. Pseudo-Chaotic Time Hopping for UWB Impulse Radio.
IEEE Trans. Circuits Syst.-I 48 (2001) 1424.
- N.F. Rulkov, M.M. Sushchik, L.S. Tsimring, and A.R. Volkovskii. Digital communication
Using Chaotic-Pulse-Position Modulation.
IEEE Trans. Circuits Syst.-I 48 (2001) 1436.
- N.F. Rulkov, V.S. Afraimovich, C.T. Lewis, J.-R. Chazottes, and A. Cordonet.
Multivalued mappings in generalized chaos synchronization.
Phys. Rev. E. 64 , (2001) 016217.
- N.F. Rulkov and A.R. Volkovskii. Generation of Broad-Band Chaos Using Blocking Oscillator.
IEEE Trans. Circuits Syst.-I 48 (2001) 673.
- N.F. Rulkov and C.T. Lewis. Subharmonic destruction of generalized chaos
synchronization.
Phys. Rev. E. 63 , (2001) 065204.
- N.F. Rulkov. Regularization of synchronized chaotic bursts.
Phys. Rev. Lett. 86 , (2001) 183-186.
- V.S. Afraimovich, W.W. Lin, and N.F. Rulkov Fractal dimension for poincare
recurrences as an indicator of synchronized chaotic regimes. International
Journal of Bifurcation and Chaos , 10 (2000) 2323-2337.
- M.M.Sushchik, N.F.Rulkov, L. Larson, L. Tsimring, H.D.I.Abarbanel,
K. Yao and A.R. Volkovskii Chaotic Pulse Position Modulation: A Robust
Method of Comminicating with Chaos. IEEE Communications Letters.
4 (2000) 128.
- N. F. Rulkov and L.S. Tsimring. Synchronization Methods for Communication
with Chaos over Band-Limited Channels.
Int. J. Circ. Theor. Appl. 27 , (1999) 555-567.
- R. C. Elson, A. I. Selverston, R. Huerta, N. F. Rulkov, M. I.
Rabinovich, and H. D. I. Abarbanel. Synchronous Behavior of Two Coupled Biological
neurons. Phys. Rev. Lett. 81 , (1998) 5692-95
- M.M.Sushchik, N.F.Rulkov, and H.D.I.Abarbanel. Robustness and
Stability of Synchronized Chaos: An Illustrative Model. IEEE
Trans. Circuits Syst. 44 (1997) 867.
- H.D.I.Abarbanel, L.Korzinov, A.I.Mees, and N.F.Rulkov.
Small Force Control of Nonlinear System to Given Orbits
IEEE Trans. Circuits Syst. 44(1997) 1018.
- C.Rhodes, M.Morari, L.S.Tsimring and N.F.Rulkov.
Data-based control trajectory planning for nonlinear systems
Phys Rev E, 56
(1997) 2398.
- R.Brown and N.F.Rulkov.
Synchronization of chaotic systems: Transverse stability of
trajectories in invariant manifolds. CHAOS., 7
(1997) 395.
- N.F.Rulkov and M.M.Sushchik.
Robustness of synchronized chaotic oscillations. International
Journal of Bifurcation and Chaos , 7
(1997) 625.
- R.Brown and N.F.Rulkov. Designing coupling that guarantees
synchronization between identical
chaotic systems. Phys. Rev. Lett., 78 (1997) 4189.
- N.F.Rulkov. Images of synchronized chaos: Experiments with
circuits.
CHAOS , 6 (1996) 262.
- H.D.I.Abarbanel, R.Huerta, M.I.Rabinovich, N.F.Rulkov, P.F.Rowat
and A.I.Silverston. Synchronized Action of Syncptically Coupled Model
Neurons. Neural Computation , 8 (1996) 1567.
- N.F.Rulkov and M.M.Sushchik. Experimental observation of synchronized
chaos with frequency ratio 1:2. Physics Letters A, 214
(1996) 145.
- H.D.I.Abarbanel, N.F.Rulkov and M.M.Sushchik.
Generalized synchronization of chaos: The auxiliary system approach.
Phys. Rev. E, 53 (1996) 4528.
- C. Letellier, G. Gouesbert and N.F.Rulkov.
Topological analysis of chaos in equivariant electronic circuit.
International Journal of Bifurcation and Chaos , 6
(1996) 2531.
-
H.D.I.Abarbanel, N.F.Rulkov and M.M.Sushchik.
Blending chaotic attractors using the synchronization of chaos.
Phys. Rev. E, 52 (1995) 214.
- N.F.Rulkov, M.M.Sushchik, L.S.Tsimring and H.D.I.Abarbanel.
Generalized synchronization of chaos in directionally coupled
chaotic systems. Phys. Rev. E, 51 (1995) 980.
- N.F.Rulkov, M.M.Sushchik, L.S.Tsimring, and H.D.I.Abarbanel.
Nontrivial cases of synchronized chaotic oscillators, in: Proceedings of
1995 Intl. Symp. on Nonlinear Theory and Appl., IEEE, 1995, v.2, 937-940.
- M.M.Sushchik, N.F.Rulkov, L.S.Tsimring, and H.D.I.Abarbanel.
Generalized synchronization of chaos in directionally coupled chaotic
systems, in: Proceedings of 1995 Intl. Symp. on Nonlinear Theory and Appl.,
IEEE, 1995, v.2, 949-952.
- N.F.Rulkov and A.R.Volkovskii. Experimenting with chaos in
electronic circuits. In: Nonlinear Dynamics In Circuits.
Editors T.Carroll and L.Pecora (World Scientific 1995) pp.139-173.
- V.I.Nekorkin, V.B.Kazantsev, N.F.Rulkov, M.G.Velarde and
L.O.Chua. Homoclinic Orbits and Solitary Waves in a One-Dimensional
Array of Chua's Circuits. IEEE Trans. Circuits Syst. 42
(1995) 785.
- R.Brown, N.F.Rulkov and N.B.Tufillaro. The effect of additive noise
and drift in the dynamics of the driving on chaotic synchronization.
Physics Letters A, 196 (1994) 201.
- N.F.Rulkov, L.S.Tsimring and H.D.I.Abarbanel. Tracking unstable
orbits in chaos using dissipative feedback control. Phys. Rev. E,
49 (1994) 314.
- R.Brown, N.F.Rulkov and N.B.Tufillaro. Synchronization of chaotic
systems: The effect of additive noise and drift in the dynamics of the
driving. Phys. Rev. E, 49 (1994) 3784.
- R.Brown, N.F.Rulkov and E.R.Tracy. Modeling and synchronization
chaotic system from time-series data. Phys. Rev. E, 49
(1994) 3784.
- R.Brown, N.F.Rulkov and E.R.Tracy. Modeling and synchronizing
chaotic system from experimental data. Physics Letters A, 194
(1994) 71.
- N.F.Rulkov, A.R.Volkovskii, A.Rodriguez-Lozano, E. Del Rio and
M.G.Velarde. Synchronous Chaotic Behaviour of a Response Oscillator
with Chaotic Driving. Chaos, Solitons & Fractals, 4
(1994) 201.
- N.F.Rulkov and A.R.Volkovskii. Threshold synchronization of chaotic
relaxation oscillations. Phys. Letters, 179A (1993)
332.
- N.F.Rulkov, A.R.Volkovskii, A.Rodriguez-Lozano, E. Del Rio and
M.G.Velarde. Mutual synchronization of chaotic self-oscillators with
dissipative coupling. International Journal of Bifurcation and Chaos,
2 (1992) 669.
- N.F.Rulkov and A.R.Volkovskii. Synchronized chaos in electronic
circuits. ( In: Proceedings of Exploiting Chaos and Nonlinearities,
Chaos in Communications, SPIE Annual Meeting, San Diego, California,
11-16 July 1993), SPIE Press, 2038, 132.
- N.F.Rulkov and A.R.Volkovskii. Synchronization of pulse-coupled chaotic
oscillators. In: Proceedings of 2-nd Experimental Chaos Conference
Wahsington DC, 6-8 October, 1993.
- N.F.Rulkov. Chaos and period adding sequence in a microwave oscillator
with a ferrite resonator. In: "Nonlinear Wave 3. Physics and
Astrophysics". A. V. Gaponov-Grekhov, M. I. Rabinovich, and J. Engelbrecht (eds.).
Springer-Verlag (1990) 319.
- C.W.Wu and N.F.Rulkov. Studing Chaos via 1-D Maps: A Tutorial.
IEEE Trans. Circuits Syst. 40 (1993) 707.
- A.R.Volkovskii and N.F.Rulkov. Synchronous chaotic response of a
nonlinear oscillator system as a priciple for the detection of the
information component of chaos. Tech. Phys. Lett., 19 (1993) 97.
- E. Del Rio, M.G.Velarde, A.Rodriguez-Lozano, N.F.Rulkov and
A.R.Volkovskii. Experimental evidence for synchronous behavior of
chaotic nonlinear oscillators with unidirectional or mutual driving.
International Journal of Bifurcation and Chaos, 4 (1994) 1003.
- A.R.Volkovskii and N.F.Rulkov. Threshold synchronization of chaotic
relaxational oscillators. Sov. Tech. Phys. Lett., 18 (1992) 410.
- N.F.Rulkov and A.R.Volkovskii. Experimental analysis of 1-D maps from
Chua's circuit. Memorandum # UCB/ERL M93/29, (1993) 18pp.
- M.I.Rabinovich and N.F.Rulkov. The mechanism of vertical displacements
in a dynamical model of earthquakes. Phys. Letters, 154A (1991)
399.
- G.V.Osipov, N.F.Rulkov, M.M.Slavinskii and V.D.Shalfeev. Dynamics of the
system for control of the chain of interacting oscillators. Preprint
IPF AN SSSR #252, 1990, 28 pp [in Russian].
- I.S.Aranson and N.F.Rulkov. Nontrivial structure of synchronization
zones in multidimensional systems. Phys. Letters, 138A (1989) 375.
- A.R.Volkovskii and N.F.Rulkov. Experimental study of bifurcations
on the threshold for stochastic locking. Sov. Tech. Phys. Lett.,
15 (1989) 249.
- I.S.Aranson and N.F.Rulkov. Synchronization and period-doubling of
quasi-periodic motions in multidimensional systems. Sov. Tech. Phys. Lett.,
14 (1988) .
- I.S.Aranson and N.F.Rulkov. Chaos and bifurcations of multidimensional
tori in a self-excited oscillator with a ferrite resonator.
Sov. Phys. Tech. Phys., 33 (1988) 1003.
- A.R.Volkovskii and N.F.Rulkov. Use of one-dimensional mappings for an
experimental study of the stochastic dynamics of an oscillator.
Sov. Tech. Phys. Lett., 14 (1988) 656.
- M.I.Rabinovich, A.M.Reiman, and N.F.Rulkov. Detecting of the
dynamical component of noisy signal. Preprint IPF AN SSSR #200,
1988, 22 pp [in Russian].
- I.S.Aranson and N.F.Rulkov. Methods of experimental study of transitions
to chaos. In: ``Nonlinear oscillations in mechanical systems'' ,
Gorky GSU (1987) 21 [in Russian].
- A.A.Betin, N.D.Milovskii, N.Yu.Rusov, and N.F.Rulkov. Self-excitation of
a double-pass amplifier with a phase conjugate mirror. Radiophysics and
Quantum Electronics, 30 (1987) 794.
- A.A.Betin, N.D.Milovskii, N.F.Rulkov, and N.Yu.Rusov. Propagation of
unhomogenious radiation in a double-pass amplifier with a phase conjugate
mirror. Radiophysics and Quantum Electronics, 29 (1986) 987.
Wed Aug 1 18:25:29 PDT 2001