Synchronization of self-oscillations and noise-induced oscillations

Journal of Communications Technology and Electronics

Volumn 47, Issue 2, 2002, Pages 117-148

  Anishchenko, V S ^a   Vadivasova, T E ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; COMMUNICATION SYSTEMS; DEGREES OF FREEDOM (MECHANICS); NONLINEAR SYSTEMS; OSCILLATIONS; RANDOM PROCESSES;

CHAOTIC OSCILLATIONS; ELECTRONIC COMMUNICATION SYSTEMS; NOISE-INDUCED OSCILLATIONS; STOCHASTIC OSCILLATIONS;

SYNCHRONIZATION;

EID: 4344633532     PISSN: 10642269     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Review

References (195)

1. Hugenii, C., Horoloqium Oscilatorium, Parisiis, France, 1673.
2. Andronov, A.A., Sobranie trudov (Selected Papers), Moscow: Akad. Nauk SSSR, 1956.
3. Teodorchik, K.F., Avtokolebatel'nye sistemy (Self-Oscillating Systems), Moscow: Gostekhteorizdat, 1952.
4. Hayashi, Ch., Non-Linear Oscillations in Physical Systems, New York: McGraw-Hill, 1964.
5. Translated under the title Nelineinye kolebaniya v fizicheskikh sistemakh, Moscow: Mir, 1968.
6. Blekhman, I.I., Sinkhronizatsiya dinamicheskikh sistem (Synchronization of Dynamical Systems), Moscow: Nauka, 1971.
7. Romanovskii, Yu.M., Stepanova, N.V., and Chernavskii, D.S., Matematicheskoe modelirovanie v biofizike (Mathematical Simulation in Biophysics), Moscow: Nauka, 1975.
8. Dem'yanchenko, A.G., Sinkhronizatsiya generatorov garmonicheskikh kolebanii (Synchronization of Harmonie Oscillators), Moscow: Energiya, 1976.
9. Winfree, A., The Geometry of Biological Time, Berlin: Springer, 1980.
10. Landa, P.S., Avtokolebaniya v sistemakh s konechnym chislom stepenei svobody (Self-Oscillations in Systems with a Finite Number of Degrees of Freedom), Moscow: Nauka, 1980.
11. Blekhman, I.I., Sinkhronizatsiya v prirode i tekhnike (Synchronization in Nature and Technology), Moscow: Nauka, 1981.
12. Kuramoto, Y., Chemical Oscillations, Waves and Turbulence, Berlin: Springer, 1984.
13. Landa, P.S., Nelineinye kolebaniya i volny (Nonlinear Oscillations and Waves), Moscow: Nauka, 1997.
14. Van der Pol, B., Radio Rev., 1920, vol. 1, p. 701.
15. Appleton, E.V., Proc. Cambridge Philos. Soc., 1863, vol. 21, p. 1922.
16. Andronov, A.A. and Vitt, A.A., Sobranie trudov A.A. Andronova (A.A. Andronov: Selected Papers), Moscow: Akad. Nauk SSSR, 1956, p. 51.
17. Mayer, A., Tech. Phys. USSR, 1935, vol. 2, no. 5, p. 1.
18. Mayer, A., Tech. Phys. USSR, 1936, vol. 3, no. 12, p. 1.
19. Gaponov,V.I., Zh. Tekh. Fiz., 1936, vol. 6, no. 5, p. 801.
20. Teodorchik, K.F., Dokl. Akad. Nauk SSSR, 1943, vol. 40, no. 2, p. 63.
21. Khokhlov, R.V., Dokl. Akad. Nauk SSSR, 1954, vol. 97, no. 6, p. 411.
22. Minakova, I.I. and Teodorchik, K.F., Dokl. Akad. Nauk SSSR, 1956, vol. 106, no. 4, p. 658.
23. Parygin, V.N., Radiotekh. Elektron. (Moscow), 1956, vol. 1, no. 2, p. 197.
24. Utkin, G.M., Radiotekh. Elektron. (Moscow), 1957, vol. 2, no. 1, p. 44.
25. Landa, P.S. and Tarankova, N.D., Radiotekh. Elektron. (Moscow), 1976, vol. 21, no. 2, p. 260.
26. Skupoi, V.F. and Kopylov, V.P., Radiotekh. Elektron. (Moscow), 1979, vol. 24, no. 7, p. 1374.
27. Stratonovich, R.L., Izbrannye voprosy teorii fluktuatsii v radiotekhnike (Selected Problems of Fluctuation Theory in Radio Engineering), Moscow: Sovetskoe Radio, 1961.
28. Malakhov, A.N., Fluktuatsii v avtokolebatel'nykh sistemakh (Fluctuations in Self-Oscillating Systems), Moscow: Nauka, 1968.
29. Akopyan, I.G. and Landa, P.S., Radiotekh. Elektron. (Moscow), 1962, vol. 7, no. 8, p. 1285.
30. Malakhov, A.N. and Shepelevich, L.G., Radiotekh. Elektron. (Moscow), 1970, vol. 15, no. 2, p. 328.
31. Kostin, I.K. and Romanovskii, Yu.M., Vestn. Mosk. Univ., Ser. 3: Fiz., Astron., 1972, vol. 13, no. 6, p. 698.
32. Kostin, I.K. and Romanovskii, Yu.M., Izv. Vyssh. Uchebn. Zaved., Radiofiz., 1975, vol. 18, no. 1, p. 34.
33. Nijmeijer, H. et al., Proc. 1st Int. Conf. "Control of Oscillations and Chaos," St. Petersburg, 1997, p. 36.
34. Ebeling, W., Strukturbildung bei irreversiblen Prozessen, Leipzig: Teubner, 1976. Translated under the title Obrazovanie struktur pri neobratimykh protsessakh, Moscow, Mir, 1979.
35. Ebeling, W., Strukturbildung bei irreversiblen Prozessen, Leipzig: Teubner, 1976. Translated under the title Obrazovanie struktur pri neobratimykh protsessakh, Moscow, Mir, 1979.
36. Haken, H., Synergetics, Heidelberg: Springer, 1978. Translated under the title Sinergetika, Moscow: Mir, 1980.
37. Haken, H., Synergetics, Heidelberg: Springer, 1978. Translated under the title Sinergetika, Moscow: Mir, 1980.
38. Gaponov-Grekhov, A.A. and Rabinovich, M.P., Nonlinear Physics: Stochasticity and Structures, in Fizika XX Veka. Razvitie i perspektivy (Physics of the 20th Century: Development and Prospects), Moscow: Nauka, 1984, p. 219.
39. Prigogine, I. and Stengers, I., Order out of Chaos: Man's New Dialogue with Nature, London: Heinemann, 1984. Translated under the title Poryadok iz khaosa, Moscow: Progress, 1986.
40. Prigogine, I. and Stengers, I., Order out of Chaos: Man 's New Dialogue with Nature, London: Heinemann, 1984. Translated under the title Poryadok iz khaosa, Moscow: Progress, 1986.
41. Klimontovich, Yu.L., Turbulentnoe dvizhenie i struktura khaosa (Turbulent Motion and the Structure of Chaos), Moscow: Nauka, 1990.
42. Anishchenko, V.S., Astakhov, V.V., and Vadivasova, T.E., Nelineinaya dinamika khaoticheskikh i stokhasticheskikh sistem (Nonlinear Dynamics of Chaotic and Stochastic Systems), Saratov: Saratov. Gos. Univ., 1999.
43. Kuznetsov, Yu.A., Landa, P.S., Ol'khovoi, A.F., and Perminov, S.M., Dokl. Akad. Nauk SSSR, 1985, vol. 281, no. 2, p. 1164.
44. Landa, P.S. and Perminov, S.A., Radiotekh. Elektron. (Moscow), 1985, vol. 28, no. 4, p. 424.
45. Neimark, Yu.I. and Landa, P.S., Stokhasticheskie i khaoticheskie kolebaniya, Moscow: Nauka, 1987. Translated under the title Stochastic and Chaotic Oscillations, Dordrecht: Kluwer, 1992.
46. Neimark, Yu.I. and Landa, P.S., Stokhasticheskie i khaoticheskie kolebaniya, Moscow: Nauka, 1987. Translated under the title Stochastic and Chaotic Oscillations, Dordrecht: Kluwer, 1992.
47. Fujisaka, H. and Yamada, Y., Prog. Theor. Phys., 1983, vol. 69, no. 1, p. 32.
48. Pikovsky, A.S., Z. Phys. B, 1984, vol. 55, no. 2, p. 149.
49. Volkovskii, A.R. and Rul'kov, N.F., Pis'ma Zh. Tekh. Fiz., 1989, vol. 15, no. 7, p. 5.
50. Rul'kov, N.F., Volkovskii, A.R., Rodriguez-Lozano, A., et al., Int. J. Bifurcation Chaos Appl. Sci. Eng., 1992, vol. 2, no. 3, p. 669.
51. Chua, L., Itoh, M., Kocarev, L., and Eckert, K., Chua's Circuits: A Paradigma for Chaos, Madan, R.N., Ed., Singapore: World Sci., 1993.
52. Pecora, L. and Carroll, T., Phys. Rev. Lett., 1990, vol. 64, no. 8, p. 821.
53. Afraimovich, V.S., Verichev, N.N., and Rabinovich, M.I., Izv. Vyssh. Uchebn. Zaved., Radiofiz., 1986, vol. 29, no. 9, p. 1050.
54. Anishchenko, V.S. and Postnov, D.E., Pis'ma Zh. Tekh. Fiz., 1988, vol. 14, no. 6, p. 569.
55. Anishchenko, V.S., Vadivasova, T.E., Postnov, D.E., and Safonova, M.A., Radiotekh. Elektron. (Moscow), 1991, vol. 36, no. 2, p. 338.
56. Anishchenko, V.S., Vadivasova, T.E., Postnov, D.E., and Safonova, M.A., Int. J. Bifurcation Chaos Appl. Sci. Eng., 1992, vol. 2, no. 3, p. 633.
57. Anishchenko, V.S., Vadivasova, T.E., Postnov, D.E., et al., Int. J. Bifurcation Chaos Appl. Sci. Eng., 1995, vol. 5, no. 6, p. 1525.
58. Anishchenko, V.S., Astakhov, V.V., Vadivasova, T.E., et al., Int. J. Bifurcation Chaos Appl. Sci. Eng., 1995, vol. 5, no. 6, p. 1677.
59. Rosenblum, M., Pikovsky, A., and Kurths, J., Phys. Rev. Lett., 1996, vol. 76, no. 11, p. 1804.
60. Pikovsky, A., Osipov, G., Rosenblum, M., et al., Phys. Rev. Lett., 1997, vol. 79, no. 1, p. 47.
61. Pikovsky, A.S., Rosenblum, M.G., Osipov, G.V., and Kurths, J., Physica D (Amsterdam), 1997, vol. 104, nos. 3-4, p. 219.
62. Rulkov, N.F., Sushchik, M.M., Tsimring, L.S., and Abarbanel, H.D.I., Phys. Rev. E, 1995, vol. 51, no. 2, p. 980.
63. Kocarev, L. and Partlitz, U., Phys. Rev. Lett., 1996, vol. 76, no. 11, p. 1816.
64. Rosenblum, M.G., Pikovsky, A.S., and Kurths, J., Phys. Rev. Lett., 1997, vol. 78, no. 22, p. 4193.
65. Blekhman, I.I., Landa, P.S., and Rosenblum, M.G., Appl. Mech. Rev., 1995, vol. 48, no. 11, p. 733.
66. Shalfeev, V.D., Osipov, G.V., Kozlov, A.K., and Volkovskii, A.R., Zarubezh. Radioelektron., Usp. Sovrem. Radioelektron., 1997, no. 10, p. 27.
67. Malafeev,V.M., Polyakova, M.S., and Romanovskii, Yu.M., Izv. Vyssh. Uchebn. Zaved., Radiofiz., 1970, vol. 13, no. 6, p. 936.
68. Romanovskii, Yu.M., Izv. Vyssh. Uchebn. Zaved., Radiofiz., 1972, vol. 15, no. 5, p. 718.
69. Kuramoto, Y., Prog. Theor. Phys., Suppl., 1984, vol. 79, p. 223.
70. Aizawa, Y., Prog. Theor. Phys., 1976, vol. 56, no. 3, p. 703.
71. Wiesenfeld, K., Bracikowski, C., James, G., and Ray, R., Phys. Rev. Lett., 1990, vol. 65, no. 14, p. 1749.
72. Gaponov-Grekhov, A.V., Rabinovich, M.I., and Starobinets, I.M., Pis'ma Zh. Eksp. Teor. Fiz., 1984, vol. 39, no. 12, p. 561.
73. Aranson, I.S., Gaponov-Grekhov, A.V., Rabinovich, M.I., et al., Zh. Eksp. Teor. Fiz., 1986, vol. 90, no. 5, p. 1707.
74. Gaponov-Grekhov, A.V. and Rabinovich, M.I., Selforganization by Nonlinear Irreversible Processes, Ebeling, W. and Ulbricht, H., Eds., New York: Springer, 1986, p. 37.
75. Anishchenko, V.S., Aranson, I.S., Postnov, D.E., and Rabinovich, M.I., Dokl. Akad. Nauk SSSR, 1986, vol. 286, no. 5, p. 1120.
76. Crutchfield, J.P. and Kaneko, K., Phenomenology of Spatio-Temporal Chaos, Singapore: World Sci., 1987.
77. Kaneko, K., Physica D (Amsterdam), 1990, vol. 41, p. 137.
78. Afraimovich, V.S. and Nekorkin, V.I., Mat. Model., 1992, vol. 4, no. 1, p. 83.
79. Belykh, V.N., Verichev, N.N., Kocarev, L.J., and Chua, L.O., J. Circuits Syst. Comput., 1993, vol. 3, no. 2, p. 579.
80. Heagy, J.F., Carrol, T.L., and Pecora, L.M., Phys. Rev. E, 1994, vol. 50, no. 3, p. 1874.
81. Heagy, J.F., Carrol, T.L., and Pecora, L.M., Phys. Rev. Lett., 1994, vol. 74, no. 21, p. 4185.
82. Belykh, V.N. and Mosekilde, E., Phys. Rev. E, 1996, vol. 54, no. 4, p. 3196.
83. Osipov, G.V., Pikovsky, A.S., Rosenblum, M.G., and Kurths, J., Phys. Rev. E, 1997, vol. 55, no. 3, p. 2353.
84. Pikovsky, A.S., Rosenblum, M.G., and Kurths, J., Europhys. Lett., 1996, vol. 34, no. 3, p. 165.
85. Kocarev, L. and Parlitz, U., Phys. Rev. Lett., 1996, vol.77, no. 11, p. 2206.
86. Belykh, V.N., Verichev, N.I., and Belykh, I.V., Izv. Vyssh. Uchebn. Zaved., Radiofiz., 1997, vol. 11, no. 7, p. 912.
87. Pecora, L.M., Phys. Rev. E, 1998, vol. 58, no. 1, p. 347.
88. Astakhov, V.V., Bezruchko, B.P., and Ponomarenko, V.I., Izv. Vyssh. Uchebn. Zaved., Radiofiz., 1991, vol. 34, no. 1, p. 35.
89. Nekorkin, V.I., Kazantsev, V.B., and Velarde, M.G., Phys. Lett. A, 1997, vol. 236, p. 505.
90. Zanette, D.M., Phys. Rev. E, 1997, vol. 55, no. 5, p. 5315.
91. Zannette, D.M. and Mikhailov, A.S., Phys. Rev. E, 1998, vol.58, no. 1, p. 872.
92. Landa, P.S., Avtokolebaniya v raspredelennykh sistemakh (Self-Oscillations in Distributed Systems), Moscow: Nauka, 1983.
93. Mosekilde, E., Larsen, F., Dewel, J., and Borcmans, P., Int. J. Bifurcation Chaos Appl. Sci. Eng., 1998, vol. 8, no. 5, p. 1003.
94. Amengual, A., Fernandez-Garcia, E., Montagne, R., and San Miguel, M., Phys. Rev. Lett., 1997, vol. 78, no. 28, p. 4379.
95. Boccaletti, S., Bragard, J., and Arecchi, F.T., Phys. Rev. E, 1999, vol. 59, no. 6, p. 6574.
96. Boccaletti, S. et al., Phys. Rev. Lett., 1999, vol. 83, no. 3, p. 536.
97. Neiman, A.B., Phys. Rev. E, 1994, vol. 49, no. 4, p. 3484.
98. Shulgin, B.V., Neiman, A.B., and Anishechenko, V.S., Phys. Rev. Lett., 1995, vol. 75, no. 23, p. 4157.
99. Anishchenko, V.S., Neiman, A.B., Moss, F., and Shimanskii-Gaier, L., Usp. Fiz. Nauk, 1999, vol. 169, no. 1, p. 7.
100. Anishchenko, V.S., Neiman, A.B., and Safonova, M.A., J. Stat. Phys., 1993, vol. 70, nos. 1-2, p. 183.
101. Anishchenko, V.S., Neiman, A.B., and Chua, L.O., Int. J. Bifurcation Chaos Appl. Sci. Eng., 1994, vol. 4, no. 1, p. 99.
102. Anishchenko, V.S., Silchenko, A.N., and Khovanov, I.A., Phys. Rev. E, 1998, vol. 57, no. 1, p. 316.
103. Longting, A. and Chialvo, D.R., Phys. Rev. Lett., 1998, vol. 81, no. 18, p. 4012.
104. Han, S.K., Yim, T.G., Postnov, D., and Sosnovtseva, O., Phys. Rev. Lett., 1999, vol. 83, no. 9, p. 1771.
105. Hu, B. and Zhou, Ch., Phys. Rev. E, 2000, vol. 61, no. 2, p. R1001.
106. Baier, G., Thomsen, J.S., and Moskilde, E., J. Teor. Biol., 1993, vol. 163, p. 593.
107. Abarbanel', G.D., Rabinovich, M.I., Silversion, A., et al., Usp. Fiz. Nauk, 1996, vol. 166, no. 4, p. 365.
108. Postnov, D.E., Balanov, A.G., and Chernyakov, V.I., Izv. Vyssh. Uchebn. Zaved., Prikl. Nelin. Din., 1997, vol. 5, no. 1, p. 54.
109. Anishchenko, V.S., Balanov, A.G., Janson, N.B., et al., Discrete Dyn. Nat. Soc., 2000, vol. 4, p. 201.
110. Bogdanov, R., Funct. Anal. Appl., 1976, vol. 9, p. 144.
111. Guckenheimer, J. and Holmes, P.J., Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields, New York: Springer, 1983.
112. Rand, D., Ostlund, S., Sethna, J., and Siggia, E.D., Phys. Rev. Lett., 1982, vol. 49, no. 2, p. 387.
113. Gabor, D., J. Inst. Electr. Eng., 1946, vol. 93, no. 3, p. 429.
114. Vainshtein, L.A. and Vakman, D.E., Razdelenie chastot v teorii kolebanii i voln (Frequency Separation in the Theory of Oscillations and Waves), Moscow: Nauka, 1983.
115. Bendat, J.S. and Piersol, A.G., Random Data: Analysis and Measurement Procedures, New York: Wiley, 1986. Translated under the title Prikladnoi analiz sluchainykh velichin, Moscow: Mir, 1989.
116. Bendat, J.S. and Piersol, A.G., Random Data: Analysis and Measurement Procedures, New York: Wiley, 1986. Translated under the title Prikladnoi analiz sluchainykh velichin, Moscow: Mir, 1989.
117. Arneodo, A., Collet, P., and Tresser, C., Commun. Math. Phys., 1981, vol. 79, p. 573.
118. Anishchenko, V.S., Slozhnye kolebaniya v prostykh sistemakh (Complex Oscillations in Simple Systems), Moscow: Nauka, 1990.
119. Anishchenko, V.S., Vadivasova, T.E., Postnov, D.E., and Safonova, M.A., Radiotekh. Elektron. (Moscow), 1991, vol. 36, no. 2, p. 338.
120. Anishchenko, V.S., Vadivasova, T.E., and Postnov, D.E., Proc. First Int. Conf. on Applied Synergetic and Synergetic Engineering, Erlangen, Germany, 1994, p. 200.
121. Vadivasova, T.E., Balanov, A.G., Sosnovtseva, O.V, et al., Phys. Lett. A, 1999, vol. 253, p. 66.
122. Shil'nikov, L.P., Mat. Sb., 1970, vol. 81, no. 123, p. 92.
123. Rosa, E., Ott, E., and Hess, M.H., Phys. Rev. Lett., 1998, vol. 80, no. 8, p. 1642.
124. Kocarev, L., Halle, K.S., Eckert, K., et al., Int. J. Bifurcation Chaos Appl. Sci. Eng., 1992, vol. 2, no. 3, p. 709.
125. Cuomo, K.M. and Oppenheim, A.V., Phys. Rev. Lett., 1993. vol. 71, no. 1, p.65.
126. Cuomo, K.M., Oppenheim, A.V, and Strogatz, S.H., IEEE Trans. Circuits Syst., 1993, vol. 40, p. 626.
127. Dedieu, H., Kennedy, M.P., and Hasler, M., IEEE Trans. Circuits Syst., 1993, vol. 40, p. 634.
128. Kocarev, L., Parlitz, U., and Stojanovski, T., Phys. Lett. A, 1996, vol. 217, p. 280.
129. Pikovsky, A. and Grassberger, P., J. Phys. A, 1991, vol.24, no. 19, p. 4587.
130. Ashwin, P., Buescu, J., and Stewart, I., Nonlinearity, 1994. vol.9, p. 703.
131. Ashwin, P., Buescu, J., and Stewart, I., Phys. Lett. A, 1994, vol. 193, p. 126.
132. Venkataramani, S.C., Hunt, B., and Ott, E., Phys. Rev. Lett., 1996, vol. 77, no. 27, p. 5361.
133. Ott, E. and Sommerer, J.C., Phys. Lett. A, 1994, vol. 188, p. 39.
134. Heagy, J.F., Carroll, T.L., and Pecora, L.M., Phys. Rev. Lett., 1995, vol. 73, no. 26, p. 3528.
135. Lai, Y.-Ch., Grebogi, C., Yorke, J.A., and Venkataramani, S.C., Phys. Rev. Lett., 1996, vol. 77, no. 1, p. 55.
136. Sushchik, M., Rulkov, N.F., and Abarbanel, D.I., IEEE Trans. Circuits Syst., 1997, vol. 44, no. 10, p. 867.
137. Astakhov, V., Shabunin, A., Kapitaniak, T., and Anishchenko, V., Phys. Rev. Lett., 1997, vol. 79, no. 6, p. 1014.
138. Hasler, M. and Maistrenko, Y., IEEE Trans. Circuits Syst., 1997, vol.44, no. 10, p. 856.
139. Astakhov, V., Hasler, M., Kapitaniak, T., et al., Phys. Rev. E, 1998, vol. 58, no. 5, p. 5620.
140. Maistrenko, Yu.L., Maistrenko, V.L., Popovich, A., and Mosekilde, E., Phys. Rev. E, 1998, vol. 57, p. 2713.
141. Kapitaniak, T. and Maistrenko, Y., Physica D (Amsterdam), 1999, vol. 126, p. 18.
142. Fujisaka, H. and Yamada, T., Prog. Theor. Phys., 1985, vol. 74, no. 4, p. 918.
143. Milnor, J., Commun. Math. Phys., 1985, vol. 99, p. 177.
144. Parlitz, U., Junge, L., Lauterborn, W., and Kocarev, L., Phys. Rev. E, 1996, vol. 54, no. 2, p. 2115.
145. Astakhov, V.V., Bezruchko, B.P., Erastova, E.N., and Seleznev, E.P., Zh. Tekh. Fiz., 1990, vol. 60, no. 10, p. 19.
146. Del Rio, E., Velarde, M.G., Rodrigues-Lozano, A., et al., Int. J. Bifurcation Chaos Appl. Sci. Eng., 1994, vol. 4, no. 4, p. 1003.
147. Taherion, S. and Lai, Y.-Ch., Phys. Rev. E, 1999, vol. 59, no. 6, p. R6247.
148. Tang, D.Y., Dykstra, R., Hamilton, M.W., and Heckenberg, N.R., Chaos, 1998, vol. 8, no. 3, p. 697.
149. Astakhov, V.V., Bezruchko, B.P., Gulyaev, Yu.V., and Seleznev, E.P., Pis'ma Zh. Tekh. Fiz., 1988, vol. 15, no. 3, p. 60.
150. Astakhov, V.V., Bezruchko, B.P., Ponomarenko, V.I., and Seleznev, E.P., Izv. Vyssh. Uchebn. Zaved., Radiofiz., 1989, vol. 31, no. 5, p. 627.
151. Postnov, D.E., Vadivasova, T.E., Sosnovtseva, O.V., et al., Chaos, 1999, vol. 9, no. 1, p. 227.
152. Kuznetsov, S.P., Izv. Vyssh. Uchebn. Zaved., Radiofiz., 1985, vol. 28, no. 8, p. 991.
153. Pontryagin, L.S., Andronov, A.A., and Vitt, A.A., Zh. Eksp. Teor. Fiz., 1933, vol. 3, no. 3, p. 165.
154. Kramers, H.A., Physica (Amsterdam), 1940, vol. 7, p. 284.
155. Nikitin, N.N. and Razovig, V.D., Zh. Vychisl. Mat., 1978, vol. 18, no. 1, p. 106.
156. Fauve, S. and Heslot, F., Phys. Lett. A, 1983, vol. 97, p. 5.
157. Melnikov, V.I., Phys. Rev. E, 1993, vol. 48, no. 4, p. 2481.
158. Kifer, Yu.I., Izv. Akad. Nauk SSSR, Ser. Mat., 1974, vol. 38, no. 5, p. 1091.
159. Kifer, Y., Commun. Math. Phys., 1989, vol. 21, p. 445.
160. Vul, E.B., Sinai, Ya.G., and Khanin, K.M., Usp. Mat. Nauk, 1984, vol. 39, no. 3, p. 3.
161. Anishchenko, V.S. and Ebeling, W.Z., Physica B (Amsterdam), 1990, vol. 81, p. 445.
162. Venttsel', A.D. and Freidlin, M.I., Fluktuatsii v dinamicheskikh sistemakh pod deistviem malykh sluchainykh vozmushchenii (Fluctuations in Dynamical Systems Generated by Small Random Disturbances), Moscow: Nauka, 1979.
163. Graham, R., Nonlinear Dynamical Systems, Moss, F. and McClintock, P.V.E., Eds., Cambridge: Cambridge Univ. Press, 1988, vol. 1.
164. Graham, R., Hammm, A., and Tel, T., Phys. Rev. Lett., 1991, vol. 66, no. 24, p. 3089.
165. Klitnontovich, Yu.L., Statisticheskaya fizika, Moscow: Nauka, 1982. Translated under the title Statistical Physics, New York: Harwood Academic, 1986.
166. Klitnontovich, Yu.L., Statisticheskaya fizika, Moscow: Nauka, 1982. Translated under the title Statistical Physics, New York: Harwood Academic, 1986.
167. Anishchenko, VS., Safonova, M.A., and Chua, L.O., Int. J. Bifurcation Chaos Appl. Sci. Eng., 1992, vol. 2, no. 2, p. 397.
168. Anishchenko, V.S., Pis'ma Zh. Tekh. Fiz., 1984, vol. 10, no. 10, p. 629.
169. Anishchenko, V.S. and Neiman, A.B., Pis'ma Zh. Tekh. Fiz., 1987, vol. 13, no. 17, p. 1063.
170. Anishchenko, V.S. and Neiman, A.B., Zh. Tekh. Fit., 1990, vol. 60, no. 1, p. 3.
171. Khovanov, I.A. and Anishchenko, V.S., Radiotekh. Elektron. (Moscow), 1997, vol. 42, no. 7, p. 823.
172. Anishchenko, V.S., Neiman, A.B., Silchenko, A.N., and Khovanov, I.A., Dyn. Stab. Syst., 1999, vol. 14, no. 3, p.211.
173. Silchenko, A., Kapitaniak, T., and Anishchenko, V., Phys. Rev. E, 1999, vol. 59, no. 2, p. 1593.
174. Rössler, O.E., Phys. Lett. A, 1976, vol. 57, no. 5, p. 387.
175. Neiman, A. and Schimansky-Geier, L., Phys. Lett. A, 1995, vol. 197, p. 379.
176. Moris, C. and Lecar, H., Biophys. J., 1981, vol. 35, p. 193.
177. Fitz Hugh, R., Biophys. J., 1961, vol. 1, p. 445.
178. Scott, A.C., Rev. Mod. Phys., 1975, vol. 47, no. 2, p. 487.
179. Muller, S.C. and Coulett, P., Chaos, 1994, vol. 4, no. 3, p. 433.
180. Glass, L. and Mackey, M.C., From Clocks to Chaos: The Rhythms of Life, Pricenton: Pricenton Univ. Press, 1988. Translated under the title Ot chasov k khaosu: ritmy zhizni, Moscow: Mir, 1991.
181. Glass, L. and Mackey, M.C., From Clocks to Chaos: The Rhythms of Life, Pricenton: Pricenton Univ. Press, 1988. Translated under the title Ot chasov k khaosu: ritmy zhizni, Moscow: Mir, 1991.
182. Lee, S.-G., Neiman, A., and Kim, S., Phys. Rev. E, 1998, vol. 57, no. 3, p. 3292.
183. Neiman, A., Saparin, P.I., and Stone, L., Phys. Rev. E, 1997, vol. 56, no. 1, p. 270.
184. Pikovsky, A.S. and Kurths, J., Phys. Rev. Lett., 1997, vol. 78, no. 5, p. 775.
185. Treutlein, H. and Schulten, K., Ber. Bunsenges. Phys. Chem., 1985, vol. 89, p. 710.
186. Treutlein, H. and Schulten, K., Eur. Biophys. J., 1986, vol. 13, p. 355.
187. Landa, P.S., Gribkov, D.A., and Kaplan, A.Ya., Nonlinear Phenomena in Biologycal and Physical Sciences, Malik, S.K., Chandrashekaran, M.K., and Paradhan, N., Eds., New Delhi: Indian Nat. Sci. Acad., 2000, p. 123.
188. Postnov, D.E., Mechanisms of Synchronization of Nonperiodic Oscillatory Processes in the Interacting Oscillator Systems in Multistability Regimes, Doctoral (Phys.-Math.) Dissertation, Saratov: Saratov. Gos. Univ., 2000.
189. Babloyantz, A. and Deslexhe, A., Biol. Cybern., 1988, vol. 58, p. 203.
190. Saparin, P.I., Zaks, M.A., Kurths, J., and Voss, A., Phys. Rev. E, 1996, vol. 54, no. 1, p. 1.
191. Pavlov, A.N. and Yanson, N.B., Izv. Vyssh. Uchebn. Zaved., Prikl. Nelin. Din., 1997, vol. 5, no. 1, p. 91.
192. Anishchenko, V.S., Janson, N.B., Balanov, A.C., et al., Int. J. Bifurcation Chaos Appl. Sci. Eng., 2000, vol. 10, no. 10, p. 2339.
193. Schäfer, C., Rosenblum, M.G., Kurths, J., and Abel, H.-H., Nature, 1998, vol. 392, no. 6672, p. 239.
194. Rosenblum, M.G., Kurths, J., Pikovsky, A., et al., IEEE Eng. Med. Biol. Mag., 1998, vol. 17, no. 6, p. 46.
195. Schäfer, C., Rosenblum, M.G., Abel, H.-H., and Kurths, J., Phys. Rev. E, 1999, vol. 60, no. 1, p. 857.