List of publications of S.P.Kuznetsov
1977-1985
- S.P. Kuznetsov, D.I. Trubetskov. Nonlinear transients during interaction between the electron beam moving in crossed fields and the backward electromagnetic wave. Radiophysics and Quantum Electronics, 20, 1977, 204-213.
830 kB.
- N.S.Ginzburg, S.P.Kuznetsov, T.N.Fedoseeva. Theory of transients
in relativistic backward-wave tube. Radiophysics & Quantum Electronics,
1978, Vol.21, p.728-739.
830 kB.
- S.P.Kuznetsov, B.P.Bezruchko. Experimental investigation of
nonlinear nonstationary pricesses in a type O backward-wave tube oscillator.
Radiophysics & Quantum Electronics,
1978, Vol.21, p.739-744.
570 kB.
- S.P.Kuznetsov. Statistical theory of transient processes in a backward-wave oscillator with crossed fields.
Radiotekhnika i elektronika, 1978, vol.23, No 3, p.385-391.
(in Russian). English translation
560 kB.
- B.P. Bezruchko, S.P. Kuznetsov, D.I. Trubetskov. Experimental observation of stochastic self-oscillations in the electron beam – backscattered electromagnetic wave dynamic system. JETP Lett. 29, 1979, No 3, 162-165.
310 kB.
- S.P.Kuznetsov. One form of excitation equations of a periodic waveguide. Radiotekhnika i Elektronika, 25, 1980, 419-421 (in Russian).
English translation 134 kB.
- A.P.Kuznetsov, S.P.Kuznetsov. Nature of the instability in the region of the
limit of the passband.
Radiophysics & Quantum Electronics,
1980, Vol.23, p.736-743.
630 kB.
- A.P.Kuznetsov, S.P.Kuznetsov. Nature of the instability in the region of the
limit of the passband.
Radiophysics & Quantum Electronics,
1980, Vol.23, p.736-743.
630 kB.
- S.P.Kuznetsov. Complex dynamics of oscillators with delayed feedback.
Radiophysics & Quantum Electronics,
1982, Vol.25, p.996-1009.
1.2 MB.
- S.P.Kuznetsov Period doubling bifurcations in a simple model of
a distributed system. Izvestija VUZov - Radiofizika, 1982, vol.25, No 11,
p.1364-1368. (In Russian, English translation
133 kB.)
- B.P.Bezruchko, L.V.Bulgakova, S.P.Kuznetsov, D.I.Trubetskov.
Stochastic self-oscillations in a backward-wave tube.
Radiotekhnika i elektronika, 1983, vol.28, No 6, p.1136- 1139
(in Russian). English translation
630 kB.
- S.P.Kuznetsov. Critical behavior of one-dimensional chains. Sov.Tech.Physics Letters, Vol.9(1), 1983, 41-42.
150 kB.
- A.P.Kuznetsov, S.P.Kuznetsov. Nonlinear nonstationary equations of interaction
between an electron beam and electromagnetic field near the Brillouin
zone boundary.
Radiophysics & Quantum Electronics,
1984, Vol.27, p.1099-1105.
529 kB.
- S.P.Kuznetsov and G.M.Kolosova. On a certain type of universal behavior of coupled systems. Sov.Phys.JETP,
59(3), 1984, 582-585.
450 kB.
- S.P.Kuznetsov. Effect of a periodic external perturbation on a system which exhibits an order-chaos transition through
period-doubling bifurcations. JETP Lett., 39, No 3, 1984, 133-136.
250 kB.
- S.P.Kuznetsov. Universality and scaling in behavior of coupled Feigenbaum systems.
Radiophysics and Quantum Electronics, 1985, Vol.28, p.681-695.
821 kB.
- S.P.Kuznetsov. Scale-invariant structure of parameter space for coupled Feigenbaum systems. Sov.Phys.Tech.Phys.
30(9), 1985, 1071-1073.
265 kB.
1986-1990
- S.P.Kuznetsov, A.S.Pikovsky. Universality and scaling of period-doubling
bifurcations in a dissipative distributed medium. Physica D, 19, 1986,
No 3, p.384-396. 1 424 kB.
- B.P.Bezruchko, Yu.V.Gulyaev, S.P.Kuznetsov, and E.P.Seleznev.
New type of critical behavior of coupled systems at the transition to chaos.
Sov.Phys.Dokl. Vol. 31(3), 1986, 258-260.
265 kB.
- S.P.Kuznetsov. Renormalization group, universality,
and scaling in the dynamics of one-dimensional autowave media.
Radio-physics and Quantum electronics, Plenum Publ.Corp., 1986,
vol.29, N8, p.679-692.
1538 kB.
- B.P.Bezruchko, V.Yu.Kamenskii, S.P.Kuznetsov, and V.I.Ponomarenko.
Experimental confirmation of universality and scaling for a model oscillator
with delayed feedback. Sov.Tech.Physics Letters, vol.14(6), 1988, 448-450.
150 kB.
- L.V.Bulgakova, S.P.Kuznetsov. Unsteady-state nonlinear processes accompanying
the interaction of an electron beam with an electromagnetic field near the
boundary of a transmission band. I. The high-frequency boundary.
Radiophysics & Quantum Electronics,
1988, Vol.31, p.155-166.
870 kB.
- L.V.Bulgakova, S.P.Kuznetsov. Unsteady-state nonlinear processes accompanying
the interaction of an electron beam with an electromagnetic field near the
boundary of a transmission band. II. Low-frequency limit.
Radiophysics & Quantum Electronics,
1988, Vol.31, p.452-460.
486 kB.
- S.P.Kuznetsov, A.S.Pikovsky. Transition from a symmetric to a nonsymmetric regime under conditions
of randomness dynamics in a system of dissipatively coupled recurrence mappings.
Radio-physics and Quantum electronics, 32, 1989, ¹1, p.41-45.
835 kB.
- S.P.Kuznetsov, A.S.Pikovsky. Renormalization group for the response function
and spectrum of the period-doubling system. Physics Letters, A140, 1989,
No 4, p.166-172. 710 kB.
- S.P.Kuznetsov.
A renormalization-group analysis for two unidirectionally coupled
Feigenbaum systems at the hyperchaos threshold.
Radio-Physics and Quantum Electronics, 33, 1990, 578-581.
360 êá.
- S.P.Kuznetsov. Renormalization chaos in period doubling
systems. In book: Nonlinear Waves-3. Eds. A.V.Gaponov-Grekhov,
M.I.Rabinovich, Ju.Engelbrecht. Springer-Verlag, Berlin-Geidelberg, 1990, p.262-275.
510 kB.
1991
- A.P.Kuznetsov, S.P.Kuznetsov, I.R.Sataev. Bicritical dynamics of period-doubling
systems with unidirectional coupling. International Journal of Bifurcation
and Chaos, 1, 1991, No 4, pp.839-848 352 kB.
- A.P.Kuznetsov, S.P.Kuznetsov, I.R.Sataev. Period doubling system under fractal
signal: Bifurcation in the renormalization group equation Chaos, Solitons
and Fractals, 1, 1991, No 4, pp.355-367.
970 kB.
- E.N.Erastova and S.P.Kuznetsov. On the mechanism for the onset of quasiperiodic
oscillations in coupled Feigenbaum systems. Sov. Phys. Tech. Phys., 36(2),
1991, 130-134.
436 kB.
- A.P.Kuznetsov, S.P.Kuznetsov. Critical dynamics of coupled map lattices at the
onset of chaos.
Radiophysics & Quantum Electronics,
1991, Vol.34, p.845-868.
1.7 MB.
1992
- S.P.Kuznetsov, I.R.Sataev. New types of critical dynamics for two-dimensional
maps. Physics Letters A162, 1992, No 3, p.236-242. 361 kB.
- S.P.Kuznetsov. Tricriticality in two-dimensional maps. Physics Letters, A169,
1992, No 6, p.438-444. 337 kB.
- S.P.Kuznetsov. Universality and scaling in two-dimensional coupled map lattices.
Chaos, Solitons and Fractals, 2, 1992, No 3, p.281- 301. 1056 kB.
- A.P.Kuznetsov, S.P.Kuznetsov, I.R.Sataev. Multiparametric criticality in
a laser system. Technical Digest Series, 16, 1992, (Opt.Soc.of America, Washington,
D.C.), p.209-211.
180 kB.
- A.P.Kuznetsov, S.P.Kuznetsov, I.R.Sataev. Dynamics of Feigenbaum systems
with unidirectional coupling near onset of chaos. The bicritical attractor.
Radio-Physics and Electronics, 35, 1992, 261-266.
320 kB.
1993
- S.P.Kuznetsov. Renormalization group, universality and scaling in dynamics
of coupled map lattices. In book: Theory and application of coupled map lattices.
Ed. by K.Kaneko. John Wiley & Sons Ltd, 1993, p.50-93. 2052 kB.
- A.P.Kuznetsov, S.P.Kuznetsov, I.R.Sataev, L.O.Chua. Two-parameter study
of transition to chaos in Chua's circuit: renormalization group, universality
and scaling.International Journal of Bifurcation and Chaos, 3, 1993,
No 4, 943-962. 3 MB.
- A.P.Kuznetsov, S.P.Kuznetsov, I.R.Sataev. Variety of types of critical
behavior and multistability in period doubling systems with unidirectional
coupling near the onset of chaos. International Journal of Bifurcation and
Chaos, 3, 1993, No.1, p.139-152. 1 MB.
- A.P.Kuznetsov, S.P.Kuznetsov, I.R.Sataev and L.O.Chua, Self-similarity and
Universality in Chua's Circuit via the approximate Chua's 1-D map. Journal
of Circuits, Systems and Computers, 1993, vol.3, No 2, p.431-440.
400 kB.
1994
- A.P.Kuznetsov, S.P.Kuznetsov, I.R.Sataev. Three-parameter scaling for one-dimensional
maps. Physics Letters, A189, 1994, p.367-373.
748 kB.
- A.P.Kuznetsov, S.P.Kuznetsov, I.R.Sataev. From bimodal one-dimensional maps
to Henon-like two-dimensional maps: does quantitative universality survive?
Physics Letters, A164, 1994. p.413-421. 485 kB.
- A.P.Kuznetsov, S.P.Kuznetsov, I.R.Sataev. Multi-parameter transition to
chaos and fractal nature of critical attractors. In book: Fractals in the
Natural and Applied Sciences. Ed. M.M.Novak. Elsevier Science B.V. (North-Holland),
1994, p.229-239.
670 kB.
1995
- S.P.Kunetsov, A.S.Pikovsky and U.Feudel. Birth of a strange nonchaotic attractor:
A renormalization group analysis. Phys.Rev.E51, 1995, No 3, pp.R1629-R1632.
533 kB.
1996
- A.P.Kuznetsov, S.P.Kuznetsov, I.R.Sataev and L.O.Chua. Multi-parameter criticality
in Chua's circuit at period-doubling transition to chaos. International Journal
of Bifurcation and Chaos, 6, 1996, No 1, 119-148.
1,7 MB.
- S.P.Kuznetsov, I.R.Sataev. Universality and scaling in non-invertible two-dimensional
maps. Physica Scripta, T67, 1996, pp.184-187.
440 kB.
1997
- A.P.Kuznetsov, S.P.Kuznetsov, I.R.Sataev. A variety of period-doubling universality
classes in multi-parameter analysis of transition to chaos. Physica D, 109,
1997, 91-112. 1311 kB.
- S.P.Kuznetsov, E.Mosekilde, G.Dewel, P.Borckmans. Absolute and convective
instabilities in a one-dimensional Brusselator flow model. J.Chem.Phys., 1997,
106(18), pp.7609-7616. 307 kB.
- S.P.Kuznetsov, I.R.Sataev. Period-doubling for two- dimensional non-invertible
maps: Renormalization group analysis and quantitative universality. Physica D,
101, 1997, pp.249-269. 960 kB.
1998
- S.P. Kuznetsov, A. Pikovsky, U. Feudel. Renormalization group for scaling at
the torus doubling terminal point. Phys.Rev. E55, 1998, No 2, 1585-1590.
257 kB.
2000
- B.P.Bezruchko, S.P.Kuznetsov, Ye.P.Seleznev. Experimental observation of
dynamics near the torus-doubling terminal critical point. Phys.Rev. E62,
2000, No 6, 7828-7830. 90 kB.
- N.Yu. Ivan'kov, S.P. Kuznetsov. Different types of scaling in dynamics of
period-doubling map under external periodic driving. Discrete Dynamics in
Nature and Society, 5, 2000, No 3, 223-232.
2,18 MB.
- O.B.Isaeva, S.P.Kuznetsov. On scaling properties of two-dimensional maps
near the accumulation point of the period-tripling cascade. Regular and Chaotic
Dynamics, 5, 2000, No 4, 459-476.http://xxx.lanl.gov/abs/nlin.CD/0110032
1495 kB.
- S.P.Kuznetsov, E.Neumann, A.Pikovsky, I.R.Sataev. Critical point of tori-collision
in quasiperiodically forced systems. Phys.Rev. E62, 2000, No 2, 1995-2007.
559 kB.
- S.P.Kuznetsov. Disheveled Arnold's cat and the problem of quantum-classic
correspondence. Physica D, 137, 2000, 205-227. 491 kB.
- J.Laugesen, E.Mosekilde, T.Bountis, S.P.Kuznetsov. Type-II
Intermittency in a Class of Two Coupled One-Dimensional Maps.
Discrete Dynamics in Nature and Society, 2000, vol.5, No 3,
233-245. 645 kB.
2001
- J.V.Kapustina, A.P.Kuznetsov, S.P.Kuznetsov, and E.Mosekilde.
Scaling properties of bicritical dynamics in unidirectionally coupled
period-doubling systems in the presence of noise. Phys.Rev. E64, No
6, 2001, 066207 (12 pages).
735 kB.
- Yu. V. Gulyaev, Yu. V. Kapustina, A. P. Kuznetsov, and S. P. Kuznetsov. On the Scaling Properties of Two Unidirectionally Coupled
Period-Doubling Systems in the Presence of Noise. Technical Physics Letters, 27, 2001, No. 11, 960–963.
140 kB.
- O.B.Isaeva, S.P.Kuznetsov, V.I.Ponomarenko. Mandelbrot Set in Coupled Logistic
Maps and in Electronic Experiment. Phys.Rev E64, No 5, 2001, 055201.
http://xxx.lanl.gov/abs/nlin.CD/0111001.
310 kB.
- A.P.Kuznetsov, S.P.Kuznetsov, L.V.Turukina, E.Mosekilde. Two-parameter analysis
of the scaling behavior at the onset of chaos: Tricritical and pseudo-tricritical
points. Physica A, 300, No 3-4, 2001, 367-385. 363 kB.
- S.P.Kuznetsov, I.R.Sataev. Universality and scaling for the breakup of phase
synchronization at the onset of chaos in a periodically driven Rössler oscillator.
Phys.Rev.E64, No 4, 2001, 046214 (7 pages). 303 kB.
- N.Yu.Ivankov, S.P.Kuznetsov. Complex periodic orbits, renormalization and
scaling for quasiperiodic golden-mean transition to chaos. Phys.Rev. E63,
2001, No 4, 046210 (10 pages). 433 kB.
- S.P.Kuznetsov, E.Mosekilde. Coupled map lattices with complex order parameter.
Physica A, 291, 2001, No 3-4, 299-316.
446 kB.
2002
-
S.P.Kuznetsov. A variety of critical phenomena associated with the
golden mean quasiperiodicity. Applied Nonlinear Dynamics (Saratov),
vol.10, 2002, No 3, 22-39.
503 kB.
-
S.P.Kuznetsov, A.H.Osbaldestin. Generalized dimensions of Feigenbaum's
attractor from renormalization-group functional equations.
Regular and Chaotic Dynamics, 7, ¹3, 2002, 325-330.
228 kB.
- A.S.Ivanova, S.P.Kuznetsov. Scaling at the onset of chaos in a
network of logistic maps with two types of global coupling.
Nonlinear Phenomena in Complex Systems, 5:2, 2002, 151-154.
192 kB.
- S.P.Kuznetsov. Torus fractalization and intermittiency.
Phys.Rev. E65, No 6, 2002, 066209.
798 kB.
- S.P.Kuznetsov.
Noise-induced absolute instability.
Mathematics and Computers in Simulation, 58, 2002, Nos 4-6, 435-442.
151 kB.
- P.V.Kuptsov, S.P.Kuznetsov, E.Mosekilde. Particle in the Brusselator
model with flow. Physica D, 163, 2002, P. 80-88.
528 kB.
- P.V.Kuptsov, S.P.Kuznetsov and C. Knudsen. Convective wave front locking for a reaction-diffusion system in a conical flow reactor. Phys. Lett. A 294 (3-4) (2002) P. 210-216.
252 kB.
2003
-
S.P.Kuznetsov. Generalization of the Feigenbaum-Kadanoff-Shenker
renormalization and critical phenomena associated with the golden mean
quasiperiodicity. In book: Syncronization: Theory and applications.
Eds. A.Pikovsky and Y.Maistrenko. NATO Science Series. II. Mathematics,
Physics and Chemistry, vol.109, Kluwer Academic Publishers, Dordrecht,
Boston, London, 2003, pp. 79-100.
748 kB.
-
S.P.Kuznetsov, E.Neumann. Torus fractalization and singularities
in the current-voltage characteristics for the quasiperiodically
forced Josephson junction. Europhysics Letters, 61, No 1, 2003,
20-26.
558 kB.
-
A.M.Dolov and S.P.Kuznetsov.
Chaos-Controlling Technique for Suppressing Self-Modulation
in Backward-Wave Tubes.
Tech. Phys. Lett., Vol. 48(8), 2003, 1074-1077.
54 kB.
-
P.V. Kuptsov, S.P. Kuznetsov, C. Knudsen and E. Mosekilde.
Absolute and convective instabilities in the one-dimensional Brusselator model with flow.
Recent Research Developments in Chemical Physics. Transworld Research Network.
Vol.4, Part II, 2003, pp. 633-658.
1.8 MB.
-
S.P.Kuznetsov. Complex dynamics in backward-wave oscillators. Proc. of International Symposium
"Topical Problems of Nonlinear Wave Physics". N.Novgorod, Russia, 6-12 Sept. 2003. pp.78-79.
250 kB.
-
A.M.Dolov, S.P.Kuznetsov. Application of idea of chaos control
to stabilization of stationary generation in backward-wave oscillator.
Proc. 2003 Int. Conference "Physics and Control"
(August 20-22, 2003, Saint Petersburg, Russia), p.507-509.
190 kB.
-
S.-Y.Kim, W.Lim, A.Jalnine, and S.P.Kuznetsov.
Characterization of the noise effect on weak synchronization.
Phys.Rev. E67 2003, 016217 (8 pages).
199 kB.
2004
-
O.B.Isaeva, S.P.Kuznetsov, A.H.Osbaldestin.
Effect of noise on the dynamics of a complex map at the period-tripling accumulation point
Phys. Rev. E69, 2004, 036216.
509 kB.
-
S.P.Kuznetsov and D.I.Trubetskov.
Chaos and Hyperchaos in a Backward-Wave Oscillator.
Radiophysics and Quantum Electronics, 47, Nos. 5–6, 2004, 341-355.
750 kB.
-
A.P.Kuznetsov, S.P.Kuznetsov, A.G.Rozhnev, E.V.Blokhina, and L.V. Bulgakova.
Wave Theory of a Travelling-Wave Tube Operated near the Cutoff.
Radiophysics and Quantum Electronics, 47, Nos. 5–6, 2004, 356-373.
260 kB.
2005
-
S.P.Kuznetsov, A.P.Kuznetsov, I.R.Sataev. Multiparameter Critical Situations, Universality and Scaling in
Two-Dimensional Period-Doubling Maps. Journal of Statistical Physics, 121, 2005, Nos. 5-6, 697-748.
652 kB.
-
S.P.Kuznetsov. Example of a Physical System with a Hyperbolic Attractor of the Smale-Williams Type.
Phys. Rev. Lett., 95, 2005, 144101.
170 kB.
-
S.P.Kuznetsov, A.P.Kuznetsov, I.R.Sataev. Review and Examples of Non-Feigenbaum Critical
Situations Associated with Period-Doubling. Proc. 2005 Int. Conference “Physics and Control”
(August 24-26, 2005, Saint Petersburg, Russia), p.610-615.
290 kB.
- S.P.Kuznetsov. Effect of noise on the dynamics at the torus-doubling terminal point in a quadratic map under quasiperiodic driving.
Phys. Rev. E72, 2005, 026205.
350 kB.
-
A.M.Dolov and S.P.Kuznetsov. Modification of the large particle method
applied in numerical
solution of problems of microwave electronics.
Technical Physics, 50, No. 6, 2005, 799-801.
250 kB.
-
S.P. Kuznetsov. Generalized dimensions of the golden-mean quasiperiodic orbit from renormalization-group functional equation. Regular and Chaotic Dynamics, 10, 2005, ¹ 1, 33-38.
190 kB.
-
O.B. Isaeva, S.P. Kuznetsov.
Complex Generalization of Approximate Renormalization Group Analysis and Mandelbrot Set. Thermodynamic Analogy.
Nonlinear Phenomena in Complex Systems, 8:2, 2005,
157-165.
307 kB.
-
O.B. Isaeva, S.P. Kuznetsov. Approximate description of the Mandelbrot
set. Thermodynamic analogy. Preprint.
nlin.CD/0504063
- S.P.Kuznetsov, A.P.Kuznetsov, I.R.Sataev, J.V.Sedova, and O.B.Isaeva. Effect of noise on critical dynamics of different universality classes at the chaos threshold. Proc. of International Symposium “Topical Problems of Nonlinear Wave Physics". NWP-1: Nonlinear Dynamics: Theory and Applications. Nizhny Novgorod, 2005, 56-57.
190 kB.
2006
-
A.P.Kuznetsov, S.P.Kuznetsov, J.V.Sedova. Effect of noise on the critical golden-mean
quasiperiodic dynamics in the circle map.
Physica A, 359, 2006, 48-64.
660 kB.
-
S.P.Kuznetsov, I.R.Sataev. A new type of period-doubling scaling
behavior in two-dimensional area-preserving map.
Physics Letters A350, 2006, 110-116.
350 kB.
-
S.P.Kuznetsov, E.P.Seleznev.
A strange attractor of the Smale–Williams type
in the chaotic dynamics of a physical system.
JETP 102, 2006, No. 2, 355–364.
381 kB.)
-
E.V. Blokhina, S.P. Kuznetsov, A.G. Rozhnev. High-Dimensional Chaotic Attractors in
a Gyrotron with Nonstationary Field Structure. Tech. Phys. Lett., 32, 2006, No 4, 364-368.
88 kB.
-
A.S.Ivanova, S.P.Kuznetsov and A.H.Osbaldestin.
Universality and Scaling in Networks of Period-Doubling Maps with a Pacemaker.
Discrete Dynamics in Nature and Society. Volume 2006, Article ID 74723, Pages 1–19.
1.4 MB.
-
A.Yu.Jalnine, S.P.Kuznetsov, A.H.Osbaldestin. Dynamics of small perturbations of orbits on a torus in a quasiperiodically forced 2D dissipative map. Regular and Chaotic Dynamics, 11, 2006, No 1, 19-30.
860 kB.
-
O.B.Isaeva, A.Yu. Jalnine and S.P.Kuznetsov.
Arnold's cat map dynamics in a system of coupled nonautonomous van der Pol oscillators.
Phys. Rev. E74, 2006, 046207.
520 kB.
2007
-
S.P.Kuznetsov and I.R.Sataev. Hyperbolic attractor in a system of coupled
non-autonomous van der Pol oscillators: Numerical test for expanding and
contracting cones. Physics Letters A365, 2007, 97-104.
700 êá.
-
S.P.Kuznetsov and A.S.Pikovsky.
Autonomous coupled oscillators with hyperbolic strange attractors. Physica D, 232, 2007, 87–102.
2.84 MB.
-
E.V.Blokhina, S.P.Kuznetsov and A.G.Rozhnev. High-Dimensional Chaos in a Gyrotron.
IEEE Transactions on Electron Devices, 54, No 2, 188-193.
283 êá.
-
A.Yu.Jalnine and S.P.Kuznetsov. On the Realization of the Hunt–Ott Strange Nonchaotic Attractor
in a Physical System. Technical Physics, 2007, 52, No. 4, 401–408.
307 kB.
-
S.P.Kuznetsov, O.B.Isaeva and A.H.Osbaldestin.
Complex Analytic Dynamics Phenomena in a System of Coupled
Nonautonomous Oscillators with Alternative Excitation.
Tech. Phys. Lett., 33 2007,No. 9, 748-751.
610 kB.
-
S.P. Kuznetsov and I.R. Sataev.
Renormalization Group Approach to the Effect of Noise at the Birth of a Strange Nonchaotic Attractor.
Fluctuation and Noise Letters,
7, 2007, No 3, L263-L271.
661 kB.
-
A.P. Kuznetsov, S.P. Kuznetsov, I.R. Sataev, and A.V. Savin.
Criticality of FQ Type in the Context of Autonomous Systems and Systems with Noise.
Nonlinear Phenomena in Complex Systems, 10, 2007, No 3, 247-255.
280 kB.
-
S.P. Kuznetsov, O.B.Isaeva, A.Y.Jalnine.
Manipulating phases of alternately excited self-oscillators:
A way to organize hyperbolic chaos and some other phenomena of complex dynamics.
The 3-rd International Conference "Physics and Control" (PhysCon 2007), Proceedings.
102 kB.
2008
-
O.B.Isaeva, S.P.Kuznetsov and A.H.Osbaldestin.
A system of alternately excited coupled non-autonomous oscillators
manifesting phenomena intrinsic to complex analytical maps.
Physica D, 237, 2008, 873–884.
850 kB.
-
S.P. Kuznetsov. On Feasibility of a Parametric Generator of Hyperbolic Chaos. Journal of Experimental and Theoretical Physics
106, 2008, No. 2, 380–387.
780 kB.
-
S.P. Kuznetsov , A.A. Mailybaev and I.R. Sataev. Birth of a New Class of Period-Doubling Scaling
Behavior as a Result of Bifurcation in the Renormalization Equation. Journal of Statistical Physics, 130, 2008, No 3, 599-616.
471 kB.
-
A.Yu. Jalnine and S.P. Kuznetsov. Effect of noise in a nonautonomous system of alternately excited oscillators with a hyperbolic strange attractor.
Phys. Rev. E, E77, 2008, 036220.
220 kB.
-
S. P. Kuznetsov and V. I. Ponomarenko. Realization of a Strange Attractor of the Smale–Williams Type
in a Radiotechnical Delay-Fedback Oscillator.
Tech. Phys. Lett., 34, 2008, No 9, 771–773.
650 kB.
-
S.P. Kuznetsov and A.S. Pikovsky. Hyperbolic chaos in the phase
dynamics of a Q-switched oscillator with delayed nonlinear feedbacks.
Europhysics Letters, 84, 2008, 10013.
2 MB.
-
P.V. Kuptsov, S.P. Kuznetsov and I.R. Sataev. Hyperbolic attractor
of Smale-Williams type in a system of two coupled non-autonomous
amplitude equations. Preprint nlin. arXiv: 0804.3677
290 kB.
2009
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S.P. Kuznetsov.
Plykin-type attractor in nonautonomous coupled oscillators.
CHAOS, 19, 2009, No 1, 013114.
900 kB.
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S.P. Kuznetsov. A non-autonomous flow system with Plykin type attractor.
Communications in Nonlinear Science and Numerical Simulation, 14, 2009, 3487–3491.
320 kB.
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V.V. Emel’yanov, S.P. Kuznetsov, and N.M. Ryskin. Hyperbolic chaos generator based
on coupled drift klystrons.
Technical Physics Letters, 35, 2009, No 8, 773–776.
190 kB.
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Yu.S. Aidarova, S.P. Kuznetsov. Chaotic dynamics of the Hunt model, an artificially constructed
flow system with a hyperbolic attractor.
Preprint nlin. arXiv: 0901.2727.
500 kB.
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P.V. Kuptsov, S.P. Kuznetsov. Violation of hyperbolicity in a diffusive
medium with local hyperbolic attractor.
Phys. Rev. E, 80, 2009, 016205.
417 kB.
2010
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A.P. Kuznetsov, S.P. Kuznetsov, N.V. Stankevich.
A simple autonomous quasiperiodic self-oscillator.
Communications in Nonlinear Science and Numerical Simulation, 15, 2010, 1676–1681.
270 kB.
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S.P. Kuznetsov, A.Pikovsky, M.Rosenblum.
Collective Phase Chaos in the Dynamics of Interacting Oscillator Ensembles.
CHAOS, 20, 2010, No 4, 043134.
1.9 MB.
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V.V. Emel’yanov, S.P. Kuznetsov, and N.M. Ryskin.
Hyperbolic chaos in the klystron-type microwave vacuum tube oscillator.
CHAOS, 20, 2010, No 4, 043104.
230 kB.
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S.P. Kuznetsov. Example of blue sky catastrophe accompanied by a birth of
Smale – Williams attractor. Regular and Chaotic Dynamics, 15, 2010, No. 2–3, 348–353.
175 kB.
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A.S. Kuznetsov, S.P. Kuznetsov, and I.R. Sataev.
Parametric Generator of Hyperbolic Chaos
Based on Two Coupled Oscillators with Nonlinear Dissipation.
Technical Physics, 55, 2010, No 12, 1707–1715.
2011
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S.P. Kuznetsov. Dynamical chaos and uniformly hyperbolic attractors: from mathematics to physics.
Physics-Uspekhi, 54 (2), 2011, 119-144.
820 kB.
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O.B. Isaeva, S.P. Kuznetsov, E. Mosekilde.
Hyperbolic chaotic attractor in amplitude dynamics of coupled self-oscillators with periodic parameter modulation.
Phys. Rev. E , 84, 2011, 016228.
500 kB.
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S.P. Kuznetsov.
Plykin type attractor in electronic device simulated in MULTISIM.
CHAOS, 21, 2011, No 4, 043105.
720 kB.
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V.P. Kruglov and S.P. Kuznetsov. An autonomous system with attractor of Smale - Williams
type with resonance transfer of excitation in a ring array of van der Pol oscillators.
Communications in Nonlinear Science and Numerical Simulation, 16, 2011, 3219–3223.
380 kB.
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S.P. Kuznetsov.
Electronic circuits manifesting hyperbolic chaos and their simulation with software package Multisim. Preprint nlin. arXiv: 1111.5839.
480 kB.
2012
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D.V. Savin, A.V. Savin, A.P. Kuznetsov, S.P. Kuznetsov, U. Feudel.
The self-oscillating system with compensated dissipation – the dynamics of the approximate discrete map.
Dynamical Systems: An International Journal, 27, 2012, 117-129.
990 kB.
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P.V. Kuptsov, S.P. Kuznetsov, A. Pikovsky.
Hyperbolic Chaos of Turing Patterns. Preprint nlin. arXiv: 1201.4063.
467 kB.
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O.B. Isaeva, S.P. Kuznetsov, I.R. Sataev
A "saddle-node" bifurcation scenario for birth or destruction of a Smale-Williams solenoid. Preprint nlin. arXiv: 1201.6657.
770 kB.
Books
- A.P. Kuznetsov, S.P. Kuznetsov, N.M.Ryskin. Nonlinear
Oscillations. Fizmatlit, Moscow, 2001. - 292pp (in Russian).
Second Edition: Fizmatlit, Moscow, 2005. - 292pp
- S.P. Kuznetsov. Dynamical Chaos. Fizmatlit, Moscow, 2001. - 296pp (in Russian).
Second Edition: Fizmatlit, Moscow, 2006. - 356pp
- U. Feudel, S.P. Kuznetsov, A. Pikovsky.
Strange Nonchaotic Attractors.
Dynamics between Order and Chaos in Quasiperiodically Forced Systems.
World Scientific, Singapore, 2006. - 228pp.
- S.P.Kuznetsov.
Hyperbolic Chaos: A Physicist’s View.
Series: Mathematical Methods and Modeling for Complex Phenomena.
Eds.: A.C.J. Luo and V. Afraimovich. Higher Education Press:
Beijing and Springer: Heidelberg, Dordrecht, London, New York, 2011. - 320pp.
Saratov group
of theoretical nonlinear
dynamics