Issues

 / 

2009

 / 

December

  

Reviews of topical problems


On the use of chaotic synchronization for secure communication

, ,
Nonlinear Processes Department, Chernyshevskii Saratov State University, ul. Astrakhanskaya 83, Saratov, 410012, Russian Federation

Research on the secure communication applications of chaotic synchronization is reviewed. A number of secure communication methods and devices using different types of synchronous behavior are examined. For the purpose of comparing existing methods, quantitative characteristics of operating capacity of various schemes are introduced and estimated. An extremely noise-stable secure information transmission method, based on the phenomenon of generalized chaos synchronization, is proposed. All of the methods considered are systematically checked for efficiency for the first time by numerically simulating unidirectionally coupled chaotic R?ossler systems selected for transmitting and receiving oscillators. The key advantages and disadvantages of secure information transmission schemes using synchronized chaotic oscillations are discussed. The experimental data gathered in this field are also reviewed.

Text can be downloaded in Russian. English translation is available on IOP Science.
PACS: 05.45.−a, 05.45.Pq, 05.45.Tp, 05.45.Vx, 05.45.Xt (all)
DOI: 10.3367/UFNe.0179.200912c.1281
URL: https://ufn.ru/en/articles/2009/12/c/
Citation: Koronovskii A A, Moskalenko O I, Hramov A E "On the use of chaotic synchronization for secure communication" Phys. Usp. 52 1213–1238 (2009)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Короновский А А, Москаленко О И, Храмов А Е «О применении хаотической синхронизации для скрытой передачи информации» УФН 179 1281–1310 (2009); DOI: 10.3367/UFNr.0179.200912c.1281

References (235) ↓ Cited by (92) Similar articles (20)

  1. Huygens C Horologium Oscillatorium, Sive De Motu Pendulorum Ad Horologia Aptato Demonstrationes Geometrical (Paris: A.F. Muguet, 1673); Translated into English, Huygens C The Pendulum Clock Or, Geometrical Demonstrations Conceptning The Motion Of Pendula As Applied To Clocks (Ames: Iowa State Univ. Press, 1986)
  2. Van der Pol B Proc. IRE 22 1051 (1934); Van-der-Pol’ B Nelineinaya Teoriya Elektricheskikh Kolebanii (M.: Svyaz’tekhizdat, 1935)
  3. Gaponov V I Zh. Tekh. Fiz. 6 801 (1936)
  4. Teodorchik K F Dokl. Akad. Nauk SSSR 40 (2) 63 (1943)
  5. Adler R Proc. IRE 34 (6) 351 (1946); reprinted, Adler R Proc IEEE 61 1380 (1973)
  6. Khokhlov R V Dokl. Akad. Nauk SSSR 9 (6) 411 (1954)
  7. Andronov A A, Vitt A A v Kn. Andronov A A. Sobranie Trudov (M.: Izd-vo AN SSSR, 1956)
  8. Minakova I I, Teodorchik K F Dokl. Akad. Nauk SSSR 106 658 (1956)
  9. Andronov A A, Vitt A A, Khaikin S E Teoriya Kolebanii (M.: Nauka, 1981); Andronov A A, Vitt A A, Khaikin S E Theory Of Oscillators (New York: Dover, 1987)
  10. Blekhman I I Sinkhronizatsiya Dinamicheskikh Sistem (M.: Nauka, 1971)
  11. Blekhman I I Sinkhronizatsiya v Prirode i Tekhnike (M.: Nauka, 1981); Blekhman I I Synchronization In Science And Technology (New York: ASME Press, 1988)
  12. Anishchenko V S, Vadivasova T E, Astakhov V V Nelineinaya Dinamika Khaoticheskikh i Stokhasticheskikh Sistem. Fundamental’nye Osnovy i Izbrannye Problemy (Saratov: Izd-vo Sarat. un-ta, 1999)
  13. Anishchenko V S i dr. Nelineinye Effekty v Khaoticheskikh i Stokhasticheskikh Sistemakh (Pod red. V S Anishchenko) (M. - Izhevsk: Inst. komp’yut. issled., 2003)
  14. Pikovskii A S, Rozenblyum M G, Kurts Yu Sinkhronizatsiya. Fundamental’noe Nelineinoe Yavlenie (M.: Tekhnosfera, 2003)
  15. Trubetskov D I Sinkhronizatsiya: Uchenyi i Vremya (Saratov: Izd-vo GosUNTs "Kolledzh", 2005) p. 70
  16. Anishchenko V S i dr. Sinkhronizatsiya Regulyarnykh, Khaoticheskikh i Stokhasticheskikh Kolebanii (M. - Izhevsk: RKhD, 2008)
  17. Anishchenko V S, Astakhov V V, Letchford T E Radiotekhnika Elektronika 27 1972 (1980)
  18. Kuznetsov Yu I i dr. Dokl. Akad. Nauk SSSR 275 1388 (1984); Kuznetsov Yu I et al. Sov. Phys. Dokl. 29 318 (1984)
  19. Dmitriev A S, Kislov V Ya, Starkov S O Zh. Tekh. Fiz. 55 2417 (1985); Dmitriev A S, Kislov V Ya, Starkov S O Sov. Phys. Tech. Phys. 29 318 (1985)
  20. Afraimovich V S, Verichev N N, Rabinovich M I Izv. Vuzov. Radiofizika 29 1050 (1986); Afraimovich V S, Verichev N N, Rabinovich M I Radiophys. Quantum Electron. 29 795 (1986)
  21. Neimark Yu I, Landa P S Stokhasticheskie i Khaoticheskie Kolebaniya (M.: Nauka, 1987); Neimark Yu I, Landa P S Stochastic And Chaotic Oscillations (Dordrecht: Kluwer Acad. Publ., 1992)
  22. Anishchenko V S Slozhnye Kolebaniya v Prostykh Sistemakh (M.: Nauka, 1990)
  23. Dmitriev A S, Panas A I Dinamicheskii Khaos: Novye Nositeli Informatsii dlya Sistem Svyazi (M.: Fizmatlit, 2002)
  24. Parlitz U et al. Int. J. Bifurcat. Chaos 2 973 (1992)
  25. Cuomo K M, Oppenheim A V, Strogatz S H IEEE Trans. Circuits Syst. II Analog Digital Signal Process. 40 626 (1993)
  26. Kocarev L, Parlitz U Phys. Rev. Lett. 74 5028 (1995)
  27. Peng J H, Ding E J, Ding M, Yang W Phys. Rev. Lett. 76 904 (1996)
  28. Anishchenko V S, Pavlov A N Phys. Rev. E 57 2455 (1998)
  29. Anishchenko V S, Pavlov A N, Yanson N B Zh. Tekh. Fiz. 68 (12) 1 (1998); Anishchenko V S, Pavlov A N, Yanson N B Tech. Phys. 43 1401 (1998)
  30. Eguia M C, Rabinovich M I, Abarbanel H D I Phys. Rev. E 62 7111 (2000)
  31. Fischer I, Liu Y, Davis P Phys. Rev. A 62 011801 (2000)
  32. Rulkov N F, Vorontsov M A, Illing L Phys. Rev. Lett. 89 277905 (2002)
  33. Yuan Z L, Shields A J Phys. Rev. Lett. 94 048901 (2005)
  34. Li Q S, Liu Y Phys. Rev. E 73 016218 (2006)
  35. Fradkov A L, Andrievsky B, Evans R J Phys. Rev. E 73 066209 (2006)
  36. Strogatz S H Nonlinear Dynamics And Chaos: With Applications To Physics, Biology, Chemistry, And Engineering (Reading, Mass.: Addison-Wesley, 1994)
  37. Elson R C et al. Phys. Rev. Lett. 81 5692 (1998)
  38. Landa P S, Rabinovitch A Phys. Rev. E 61 1829 (2000)
  39. Porcher R, Thomas G Phys. Rev. E 64 010902 (2001)
  40. Glass L Nature 410 277 (2001)
  41. Pavlov A N et al. Physica A 316 233 (2002)
  42. Sosnovtseva O V et al. Phys. Rev. E 66 061909 (2002)
  43. Rosenblum M G, Pikovsky A S, Kurths J Fluctuat. Noise Lett. 4 L53 (2004)
  44. Postnov D E, Khan S K Pis’ma ZhTF 25 (4) 11 (1999); Postnov D É, Han S K Tech. Phys. Lett. 25 128 (1999)
  45. Anishchenko V S et al. Int. J. Bifurcat. Chaos 10 2339 (2000)
  46. Mosekilde E, Maistrenko Y, Postnov D Chaotic Synchronization: Applications To Living Systems (River Edge, NJ: World Scientific, 2002)
  47. Prokhorov M D et al. Phys. Rev. E 68 041913 (2003)
  48. Rulkov N F Phys. Rev. E 65 041922 (2002)
  49. Sosnovtseva O V et al. Izv. Vuzov. Prikladnaya Nelineinaya Dinamika 11 (3) 133 (2003)
  50. Sosnovtseva O V et al. Phys. Rev. E 70 031915 (2004)
  51. Sosnovtseva O V et al. Physiol. Meas. 26 351 (2005)
  52. Sosnovtseva O V et al. Phys. Rev. Lett. 94 218103 (2005)
  53. Hramov A E et al. Phys. Rev. E 73 026208 (2006)
  54. Sosnovtseva O V et al. Am. J. Physiol. Renal Physiol. 293 F1545 (2007)
  55. Parmananda P Phys. Rev. E 56 1595 (1997)
  56. Kiss I Z, Hudson J L Phys. Rev. E 64 046215 (2001)
  57. Rosenblum M, Pikovsky A Contemp. Phys. 44 401 (2003)
  58. Kiss I Z et al. Phys. Rev. E 70 026210 (2004)
  59. Yoshioka M Phys. Rev. E 71 061914 (2005)
  60. Ditto W L, Rauseo S N, Spano M L Phys. Rev. Lett. 65 3211 (1990)
  61. Meucci R et al. Phys. Rev. E 49 R2528 (1994)
  62. Kittel A, Parisi J, Pyragas K Phys. Lett. A 198 433 (1995)
  63. Shalfeev V D i dr. Zarubezhnaya Radioelektronika. Uspekhi Sovremennoi Radioelektroniki (10) 27 (1997)
  64. Boccaletti S et al. Phys. Rep. 329 103 (2000)
  65. Ticos C M et al. Phys. Rev. Lett. 85 2929 (2000)
  66. Rosa E (Jr.) et al. Int. J. Bifurcat. Chaos 10 2551 (2000)
  67. Trubetskov D I, Khramov A E Radiotekhnika Elektronika 48 116 (2003); Trubetskov D I, Khramov A E J. Commun. Technol. Electron. 48 105 (2003)
  68. Trubetskov D I, Koronovskii A A, Khramov A E Izv. Vuzov. Radiofizika 47 343 (2004); Trubetskov D I, Koronovsky A A, Khramov A E Radiophys. Quantum Electron. 47 305 (2004)
  69. Hramov A E et al. Chaos 15 013705 (2005)
  70. Beloglazkina M V, Koronovskii A A, Khramov A E Zh. Tekh. Fiz. 79 (6) 13 (2009); Beloglazkina M V, Koronovskii A A, Hramov A E Tech. Phys. 54 775 (2009)
  71. Fradkov A L Usp. Fiz. Nauk 175 113 (2005); Fradkov A L Phys. Usp. 48 103 (2005)
  72. Abarbanel’ G D I i dr. Usp. Fiz. Nauk 166 363 (1996); Abarbanel H D I et al. Phys. Usp. 39 337 (1996)
  73. Bezruchko B P i dr. Usp. Fiz. Nauk 178 323 (2008); Bezruchko B P et al. Phys. Usp. 51 304 (2008)
  74. Tass P et al. Phys. Rev. Lett. 81 3291 (1998)
  75. Tass P A et al. Phys. Rev. Lett. 90 088101 (2003)
  76. Meinecke F C et al. Phys. Rev. Lett. 94 084102 (2005)
  77. Chavez M et al. Chaos 15 023904 (2005)
  78. Yang T Int. J. Computat. Cognition 2 (2) 81 (2004)
  79. Tang Y, Fang J, Chen L Int. J. Mod. Phys. B 22 4175 (2008)
  80. Zheng G, Boutat D, Floquet T, Barbot J-P Int. J. Bifurcat. Chaos 18 2063 (2008)
  81. Bowong S, Yamapi R Int. J. Bifurcat. Chaos 18 2425 (2008)
  82. Hoang T M, Nakagawa M Chaos Solitons Fractals 38 1423 (2008)
  83. Liang X, Zhang J, Xia X IEEE Trans. Circuits Syst. II Express Briefs 55 680 (2008)
  84. Wang X et al. Mod. Phys. Lett. B 22 2077 (2008)
  85. Tronciu V Z et al. Opt. Commun. 281 4747 (2008)
  86. Gámez-Guzmán L et al. Rev. Mex. Fís. 54 (4) 299 (2008)
  87. Sun Y, Cao J, Feng G Phys. Lett. A 372 5442 (2008)
  88. Wang Yun-Cai, Zhao Qing-Chun, Wang An-Bang Chinese Phys. B 17 2373 (2008)
  89. Yu W, Cao J, Yuan K Phys. Lett. A 372 4438 (2008)
  90. Materassi D, Basso M Int. J. Bifurcat. Chaos 18 567 (2008)
  91. Xia W, Cao J Chaos 1 8 (2008)
  92. Lu S, Chen L Kybernetika 44 (1) 43 (2008)
  93. Annovazzi-Lodi V et al. IEEE Photonics Technol. Lett. 17 1995 (2005)
  94. Pecora L M, Carroll T L Phys. Rev. Lett. 64 821 (1990)
  95. Pecora L M, Carroll T L Phys. Rev. A 44 2374 (1991)
  96. Rosenblum M G, Pikovsky A S, Kurths J Phys. Rev. Lett. 76 1804 (1996)
  97. Rulkov N F et al. Phys. Rev. E 51 980 (1995)
  98. Rosenblum M G, Pikovsky A S, Kurths J Phys. Rev. Lett. 78 4193 (1997)
  99. Fahy S, Hamann D R Phys. Rev. Lett. 69 761 (1992)
  100. Martian A, Banavar J R Phys. Rev. Lett. 72 1451 (1994)
  101. Kaulakys B, Vektaris G Phys. Rev. E 52 2091 (1995)
  102. Chen Y-Y Phys. Rev. Lett. 77 4318 (1996)
  103. Kaulakys B, Ivanauskas F, Meškauskas T Int. J. Bifurcat. Chaos 9 533 (1999)
  104. Toral R et al. Chaos 11 665 (2001)
  105. Gribunin V G, Okov I N, Turintsev I V Tsifrovaya Steganografiya (M.: SOLON-Press, 2002)
  106. Murali K, Lakshmanan M Phys. Rev. E 48 R1624 (1993)
  107. Boccaletti S, Farini A, Arecchi F T Phys. Rev. E 55 4979 (1997)
  108. Carroll T L, Johnson G A Phys. Rev. E 57 1555 (1998)
  109. Terry J R, VanWiggeren G D Chaos Solitons Fractals 12 145 (2001)
  110. Lucamarini M, Mancini S Phys. Rev. Lett. 94 140501 (2005)
  111. Eckmann J-P, Thomas L, Wittwer P J. Phys. A 14 3153 (1981)
  112. Kye W-H, Kim C-M Phys. Rev. E 62 6304 (2000)
  113. Kye W-H et al. Phys. Rev. E 68 036203 (2003)
  114. Hramov A E et al. Phys. Rev. E 76 026206 (2007)
  115. Koronovskii A A, Hramov A E Eur. Phys. J. B 62 447 (2008)
  116. Pikovsky A S, Kurths J Phys. Rev. Lett. 78 775 (1997)
  117. Mangioni S et al. Phys. Rev. Lett. 79 2389 (1997)
  118. Zaikin A A, Kurths J, Schimansky-Geier L Phys. Rev. Lett. 85 227 (2000)
  119. Neiman A B, Russell D F Phys. Rev. Lett. 88 138103 (2002)
  120. Zhou C et al. Phys. Rev. Lett. 89 (1) 014101 (2002)
  121. Zhou C S et al. Phys. Rev. E 67 015205 (2003)
  122. Boccaletti S et al. Phys. Rev. Lett. 89 194101 (2002)
  123. Taherion S, Lai Y-C Phys. Rev. E 59 R6247 (1999)
  124. Boccaletti S et al. Phys. Rep. 366 1 (2002)
  125. Volkovskii A R, Rul’kov N F Pis’ma ZhTF 19 (3) 71 (1993); Volkovskii A R, Rul’kov N F Tech. Phys. Lett. 19 97 (1993)
  126. Pyragas K Phys. Rev. E 54 R4508 (1996)
  127. Pecora L M, Carroll T L, Heagy J F Phys. Rev. E 52 3420 (1995)
  128. Pyragas K Phys. Rev. E 56 5183 (1997)
  129. Abarbanel H D I, Rulkov N F, Sushchik M M Phys. Rev. E 53 4528 (1996)
  130. Osipov G V et al. Phys. Rev. E 55 2353 (1997)
  131. Pikovsky A, Rosenblum M, Kurths J Int. J. Bifurcat. Chaos 10 2291 (2000)
  132. Rosenblum M G et al. In Nonlinear Analysis Of Physiological Data (Eds H Kantz, J Kurths, G Mayer-Kress) (Berlin: Springer, 1998) p. 91
  133. Vadivasova T E, Anishchenko V S Radiotekhnika Elektronika 49 77 (2004); Vadivasova T E, Anishchenko V S J. Commun. Technol. Electron. 49 69 (2004)
  134. Pikovsky A S et al. Physica D 104 219 (1997)
  135. Pikovsky A, Rosenblum M, Kurths J Synchronization: A Universal Concept In Nonlinear Sciences (Cambridge: Cambridge Univ. Press, 2001)
  136. Anishchenko V S, Vadivasova T E, Strelkova G I Fluctuat. Noise Lett. 4 L219 (2004)
  137. Pikovsky A S, Rosenblum M G, Kurths J Europhys. Lett. 34 165 (1996)
  138. Koronovskii A A, Khramov A E, Khramova A E Pis’ma ZhETF 82 176 (2005); Koronovskii A A, Hramov A E, Khramova A E JETP Lett. 82 160 (2005)
  139. Rosenblum M G et al. Phys. Rev. Lett. 89 264102 (2002)
  140. Hramov A E, Koronovskii A A Chaos 14 603 (2004)
  141. Hramov A E, Koronovskii A A, Levin Yu I Zh. Eksp. Teor. Fiz. 127 886 (2005); Hramov A E, Koronovskii A A, Levin Yu I JETP 100 784 (2005)
  142. Koronovskii A A, Kurovskaya M K, Khramov A E Pis’ma ZhTF 31 (19) 76 (2005); Koronosvkii A A, Kurovskaya M K, Hramov A E JETP Lett. 31 847 (2005)
  143. Koronovskii A A, Khramov A E Radiotekhnika Elektronika 50 969 (2005); Koronovskii A A, Khramov A E J. Commun. Technol. Electron. 50 894 (2005)
  144. Hramov A E, Koronovskii A A Physica D 206 252 (2005)
  145. Dedieu H, Kennedy M P, Hasler M IEEE Trans. Circuits Syst. I Regular Papers 40 634 (1993)
  146. Dmitriev A S, Panas A I, Starkov S O Int. J. Bifurcat. Chaos 5 1249 (1995)
  147. Yang T, Chua L O IEEE Trans. Circuits Syst. I Regular Papers 43 817 (1996)
  148. Downes P T SPIE 2038 227 (1993)
  149. Pérez G, Cerdeira H A Phys. Rev. Lett. 74 1970 (1995)
  150. Short K M Int. J. Bifurcat. Chaos 6 367 (1996)
  151. Ponomarenko V I, Prokhorov M D Phys. Rev. E 66 026215 (2002)
  152. Koronovskii A A i dr. Dokl. Ross. Akad. Nauk 383 322 (2002); Koronovskii A A et al. Dokl. Phys. 47 181 (2002)
  153. Koronovskii A A i dr. Izv. Vuzov. Radiofizika 45 880 (2002); Koronovsky A A et al. Radiophys. Quantum Electron. 45 806 (2002)
  154. Yang T Int. J. Circuit Theory Appl. 23 611 (1995)
  155. Chen J Y et al. Chaos 13 508 (2003)
  156. Rulkov N F Chaos 6 262 (1996)
  157. Zheng Z, Hu G Phys. Rev. E 62 7882 (2000)
  158. Hramov A E, Koronovskii A A, Moskalenko O I Europhys. Lett. 72 901 (2005)
  159. Koronovskii A A, Popov P V, Khramov A E Zh. Eksp. Teor. Fiz. 130 748 (2006); Koronovskii A A, Popov P V, Hramov A E JETP 103 654 (2006)
  160. Moskalenko O I et al. Phys. Rev. E (2009), submitted
  161. Murali K, Lakshmanan M Phys. Lett. A 241 303 (1998)
  162. Koronovskii A A i dr. Izv. RAN. Ser. Fiz. 72 (1) 143 (2008); Koronovskii A A et al. Bull. Russ. Acad. Sci. Phys. 72 131 (2008)
  163. Koronovskii A i dr. Pervaya Milya (1) 14 (2008)
  164. Koronovskii A A, Moskalenko O I, Khramov A E Zh. Tekh. Fiz. 76 (2) 1 (2006); Koronovskii A A, Moskalenko O I, Hramov A E Tech. Phys. 51 143 (2006)
  165. Hramov A E, Koronovskii A A Phys. Rev. E 71 067201 (2005)
  166. Koronovskii A A i dr. Izv. RAN Ser. Fiz. 73 1723 (2009)
  167. Koronovskii A A, Khramov A E Pis’ma ZhETF 79 391 (2004); Koronovskii A A, Hramov A E JETP Lett. 79 316 (2004)
  168. Koronovskii A A, Moskalenko O I, Khramov A E Pis’ma 80 25 (2004); Koronovskii A A, Moskalenko O I, Hramov A E JETP Lett. 80 20 (2004)
  169. Koronovskii A A, Moskalenko O I, Khramov A E Radiotekhnika Elektronika 52 949 (2007); Koronovskii A A, Moskalenko O I, Hramov A E J. Commun. Technol. Electron. 52 881 (2007)
  170. Rico-Martínez R et al. Physica D 176 1 (2003)
  171. Nikitin N N, Pervachev S V, Razevig V D Avtomatika Telemekhanika (4) 133 (1975)
  172. Sklar B Digital Communications: Fundamentals And Applications (Upper Saddle River, NJ: Prentice-Hall PTR, 2001); Sklyar B Tsifrovaya Svyaz’. Teoreticheskie Osnovy i Prakticheskoe Primenenie (M.: Vil’yams, 2003)
  173. Poberezhskii E S Tsifrovye Radiopriemnye Ustroistva (M.: Radio i svyaz’, 1987)
  174. Abel A, Schwarz W Proc. IEEE 90 691 (2002)
  175. Chua L O Arch. Elektron. Übertragungstech. 46 250 (1992)
  176. Chua L O, Komuro M, Matsumoto T IEEE Trans. Circuits Syst. 33 1073 (1986)
  177. Kuznetsov S P Izv. Vuzov. Radiofizika 25 1410 (1982); Kuznetsov S P Radiophys. Quantum Electron. 25 996 (1982)
  178. Dmitriev A S, Panas A I, Starkov S O Int. J. Bifurcat. Chaos 6 851 (1996)
  179. Hramov A E et al. Phys. Rev. E 75 056207 (2007)
  180. Ponomarenko V P, Matrosov V V Radiotekhnika Elektronika 29 1125 (1984)
  181. Kapranov M V, Chernobaev V G Radiotekhnicheskie Tetradi (15) 86 (1998)
  182. Shalfeev V D, Matrosov V V, Korzinova M V Zarubezhnaya Radioelektronika. Uspekhi Sovremennoi Radioelektroniki (11) 44 (1998)
  183. Matrosov V V, Shalfeev V D, Kasatkin D V Izv. Vuzov. Radiofizika 49 448 (2006); Matrosov V V, Shalfeev V D, Kasatkin D V Radiophys. Quantum Electron. 49 406 (2006)
  184. Bel’skii Yu L i dr. Radiotekhnika Elektronika 37 660 (1992)
  185. Ott E, Sommerer J C Phys. Lett. A 188 39 (1994)
  186. Boccaletti S, Valladares D L Phys. Rev. E 62 7497 (2000)
  187. Hramov A E, Koronovskii A A Europhys. Lett. 70 169 (2005)
  188. Lai Y-C Phys. Rev. E 53 R4267 (1996)
  189. Cuomo K M, Oppenheim A V Phys. Rev. Lett. 71 65 (1993)
  190. Dmitriev A S i dr. Radiotekhnika Elektronika 43 1115 (1998); Dmitriev A S et al. J. Commun. Technol. Electron. 43 1038 (1998)
  191. Matsumoto T IEEE Trans. Circuits Systems 31 1055 (1984)
  192. Zhong G-Q, Ayrom F Int. J. Circuit Theory Appl. 13 93 (1985)
  193. Dmitriev A S, Panas A I, Kuzmin L V Nonlinear Phenom. Complex Syst. 2 (3) 91 (1999)
  194. Panas A I, Yang T, Chua L O Int. J. Of Bifurcat. Chaos 8 639 (1998)
  195. Panas A I in Proc. of the 6th Intern. Workshop NDES’98, Budapest, Hungary, 1998 p. 257
  196. Kuz’min L V, Maksimov N A, Panas A Izv. Vuzov. Prikladnaya Nelineinaya Dinamika 7 (2 - 3) 81 (1999)
  197. Emets S V, Starkov S O Izv. Vuzov. Prikladnaya Nelineinaya Dinamika 7 (2 - 3) 95 (1999)
  198. Larsen P B, Earley L M, Wheat R M, Booske J H in Proc. of Vacuum Electronics Conf., 2006, Jointly with 2006 IEEE International Vacuum Electron Sources., IEEE Intern. (2006) p. 521
  199. Dmitriev B S et al. Phys. Rev. Lett. 102 074101 (2009)
  200. Marchewka C et al. Phys. Plasmas 13 013104 (2006)
  201. Kislov V Ya, Myasin V E, Bogdanov E V "Generator SVCh shirokopolosnykh kolebanii" Zayavka №984513/19-09 ot 31.07.1968 (1968)
  202. Kislov V Ya, Zalogin N N, Myasin E A Radiotekhnika Elektronika 24 1118 (1979)
  203. Kislov V Ya, Myasin E A, Zalogin N N Radiotekhnika Elektronika 25 (10) 2160 (1980)
  204. Kats V A, Trubetskov D I Pis’ma ZhETF 39 (3) 116 (1984); Kats V A, Trubetskov D I JETP Lett. 39 137 (1984)
  205. Trubetskov D I, Khramov A E Lektsii Po Sverkhvysokochastotnoi Elektronike dlya Fizikov Vol. 2 (M.: Fizmatlit, 2004)
  206. Ryskin N M et al. Phys. Plasmas 11 1194 (2004)
  207. Dronov V et al. Chaos 14 30 (2004)
  208. Koronovskii A A i dr. Obobshchennaya Khaoticheskaya Sinkhronizatsiya v Diapazone Sverkhvysokikh Chastot Vol. 2 (M.: Fizmatlit, 2008)
  209. Shigaev A M et al. IEEE Trans. Electron Dev. 52 790 (2005)
  210. Trubetskov D I, Khramov A E Lektsii Po Sverkhvysokochastotnoi Elektronike dlya Fizikov Vol. 1 (M.: Fizmatlit, 2003)
  211. Evans M W (Ed.) Modern Nonlinear Optics (Adv. In Chem. Phys., Vol. 119, Pt. 3, Eds I Prigogine, S A Rice) Vol. 1-3 2nd ed. (New York: Wiley, 2001)
  212. Udaltsov V S et al. IEEE Trans. Circuits Syst. I Fundament. Theory Appl. 49 1006 (2002)
  213. Uchida A et al. in Papers of Technical Meeting on Optical and Quantum Devices, IEE Japan OQD-01, No. 37-46 (2001) p. 1
  214. Matsuura T, Uchida A, Yoshimori S Opt. Lett. 29 2731 (2004)
  215. Yamamoto T et al. Opt. Express 15 3974 (2007)
  216. Uchida A, Ogawa T, Kannari F Jpn. J. Appl. Phys. 37 L730 (1998)
  217. McAllister R et al. Physica D 195 244 (2004)
  218. Uchida A et al. Opt. Lett. 24 890 (1999)
  219. Soriano M et al. Phys. Rev. E 78 046218 (2008)
  220. Uchida A et al. Phys. Rev. E 68 016215 (2003)
  221. Ruiz-Oliveras F R, Pisarchik A N Phys. Rev. E 79 016202 (2009)
  222. Chlouverakis K E et al. Physica D 237 568 (2008)
  223. Argyris A et al. IEEE J. Select. Top. Quantum Electron. 10 927 (2004)
  224. Argyris A, Syvridis D J. Lightwave Technol. 22 1272 (2004)
  225. Uchida A, Liu Y, Davis P IEEE J. Quantum Electron. 39 963 (2003)
  226. Tang S, Liu J Opt. Lett. 26 1843 (2001)
  227. Liu J M, Chen H F, Tang S IEEE Trans. Circuits Syst. I Fundament. Theory Appl. 48 1475 (2001)
  228. Kusumoto K, Ohtsubo J Opt. Lett. 27 989 (2002)
  229. Abarbanel H D I et al. IEEE J. Quantum Electron. 37 1301 (2001)
  230. Bogris A, Argyris A, Syvridis D IEEE J. Quantum Electron. 43 552 (2007)
  231. Lee M W, Larger L, Goedgebuer J-P IEEE J. Quantum Electron. 39 931 (2003)
  232. Argyris A et al. Nature 438 343 (2005)
  233. Goedgebuer J-P, Larger L, Porte H Phys. Rev. Lett. 80 2249 (1998)
  234. VanWiggeren G D, Roy R Science 279 1198 (1998)
  235. Paul J, Lee M W, Shore K A Opt. Lett. 29 2497 (2004)

© 1918–2019 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions