RSS feeds
ÐóññêèéEnglish
Issue 12, 2025
Volume year page
Issues Authors PACS Subscription For authors

Issues

 / 

1999

 / 

January

←  →

Reviews of topical problems


Stochastic resonance: noise-enhanced order

 a,  b,  c,  d
a International Research Institute of Nonlinear Dynamics, Department of Physics, N.G. Chernyshevskii; Saratov State University, ul. Astrakhanskaya 83, Saratov, 410012, Russian Federation
b Chernyshevskii Saratov State University, ul. Astrakhanskaya 83, Saratov, 410071, Russian Federation
c Department of Physics and Astronomy, University of Missouri at St. Louis, St. Louis, MO, USA
d Humboldt University at Berlin, Invalidenstr. 110, Berlin, D-10115, Germany

Stochastic resonance (SR) provides a glaring example of a noise-induced transition in a nonlinear system driven by an information signal and noise simultaneously. In the regime of SR some characteristics of the information signal (amplification factor, signal-to-noise ratio, the degrees of coherence and of order, etc.) at the output of the system are significantly improved at a certain optimal noise level. SR is realized only in nonlinear systems for which a noise-intensity-controlled characteristic time becomes available. In the present review the physical mechanism and methods of theoretical description of SR are briefly discussed. SR features determined by the structure of the information signal, noise statistics and properties of particular systems with SR are studied. A nontrivial phenomenon of stochastic synchronization defined as locking of the instantaneous phase and switching frequency of a bistable system by external periodic force is analyzed in detail. Stochastic synchronization is explored in single and coupled bistable oscillators, including ensembles. The effects of SR and stochastic synchronization of ensembles of stochastic resonators are studied both with and without coupling between the elements. SR is considered in dynamical and nondynamical (threshold) systems. The SR effect is analyzed from the viewpoint of information and entropy characteristics of the signal, which determine the degree of order or self-organization in the system. Applications of the SR concept to explaining the results of a series of biological experiments are discussed.

Fulltext pdf (609 KB)
Fulltext is also available at DOI: 10.1070/PU1999v042n01ABEH000444
PACS: 02.50.Ey, 05.40.+j, 05.45.+b, 87.70.+c
DOI: 10.1070/PU1999v042n01ABEH000444
URL: https://ufn.ru/en/articles/1999/1/c/
000078623600001
Citation: Anishchenko V S, Neiman A B, Moss F, Shimansky-Geier L "Stochastic resonance: noise-enhanced order" Phys. Usp. 42 7–36 (1999)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Îðèãèíàë: Àíèùåíêî Â Ñ, Íåéìàí À Á, Ìîññ Ô, Øèìàíñêèé-Ãàéåð Ë «Ñòîõàñòè÷åñêèé ðåçîíàíñ êàê èíäóöèðîâàííûé øóìîì ýôôåêò óâåëè÷åíèÿ ñòåïåíè ïîðÿäêà» ÓÔÍ 169 7–38 (1999); DOI: 10.3367/UFNr.0169.199901c.0007

References (140) Cited by (378) ↓ Similar articles (20)

  1. Hramov A E, Kulagin N et al Chaos: An Interdisciplinary Journal of Nonlinear Science 35 (3) (2025)
  2. Li Yu, Steinberg V Phys. Rev. Fluids 10 (8) (2025)
  3. Lei Zh, Guo Y, Ma Ju Nonlinear Dyn 113 (21) 29999 (2025)
  4. Lukashevich V K Vescì Akademìì Navuk Belarusì. Seryâ Gumanitarnyh Navuk 70 (2) 95 (2025)
  5. Zakharova A, Semenov V V Neural Networks 183 106939 (2025)
  6. Ge M, Jia K et al Nonlinear Dyn 113 (19) 26671 (2025)
  7. Li 李 X 栩, Nie 聂 D 德 et al Chinese Phys. B 34 (5) 050203 (2025)
  8. Semenov V V Eur. Phys. J. Spec. Top. (2025)
  9. Lukashevich V K Dokl. Akad. Nauk 69 (2) 159 (2025)
  10. He L, Huang X, Hou J J. Vib. Eng. Technol. 13 (1) (2025)
  11. Liu C, Song X-Z et al Chaos, Solitons & Fractals 199 116875 (2025)
  12. Li Yu, Steinberg V J. Fluid Mech. 1014 (2025)
  13. (IV INTERNATIONAL SCIENTIFIC AND PRACTICAL SYMPOSIUM “MATERIALS SCIENCE AND TECHNOLOGY”: MST-IV-2024) Vol. IV INTERNATIONAL SCIENTIFIC AND PRACTICAL SYMPOSIUM “MATERIALS SCIENCE AND TECHNOLOGY”: MST-IV-2024Solution of Abel’s differential equation by Volterra seriesZlatinkaKovachevaOksanaKharchenko3347 (2025) p. 080001
  14. Yoshimoto M, Kurosawa S Indian J Phys 99 (7) 2603 (2025)
  15. Ugulava A, Mchedlishvili G, Kharshiladze O Journal Of Magnetism And Magnetic Materials 592 171801 (2024)
  16. Danilyuk A L, Podryabinkin D A et al Solids 5 (2) 193 (2024)
  17. Ma Sh, Liu Yu et al Probabilistic Engineering Mechanics 78 103697 (2024)
  18. Manuylovich E, Argüello R D et al Commun Eng 3 (1) (2024)
  19. Semenov V Electronic Modelling of Deterministic and Stochastic Oscillators Springer Series In Synergetics Chapter 5 (2024) p. 113
  20. Rybalova E, Nikishina N, Strelkova G Chaos: An Interdisciplinary Journal of Nonlinear Science 34 (4) (2024)
  21. Semenov V Electronic Modelling of Deterministic and Stochastic Oscillators Springer Series In Synergetics Chapter 4 (2024) p. 91
  22. Guo Y, Ding J, Mi L Chaos, Solitons & Fractals 179 114380 (2024)
  23. Hu H-W, Du L et al Phys. Rev. E 109 (5) (2024)
  24. Matthews P, Raul P et al Clinical Neurophysiology 165 182 (2024)
  25. Shibasaki Yu Biophys. Rev. Lett. 19 (02) 183 (2024)
  26. Li Yu, Steinberg V Phys. Rev. Research 6 (4) (2024)
  27. Kharchenko O, Kovacheva Z, Chumakov V J. Phys.: Conf. Ser. 2910 (1) 012031 (2024)
  28. Feng Ch, Zhao H, Zhong J Journal Of Differential Equations 359 67 (2023)
  29. Fedorov V M Uspekhi Fizicheskikh Nauk 193 (09) 971 (2023) [Fedorov V M Phys. Usp. 66 (09) 914 (2023)]
  30. Rybalova E, Nechaev V et al Chaos: An Interdisciplinary Journal of Nonlinear Science 33 (9) (2023)
  31. Singh A K Fluct. Noise Lett. 22 (02) (2023)
  32. Pisarchik A N, Hramov A E Uspekhi Fizicheskikh Nauk 193 (12) 1298 (2023) [Pisarchik A N, Hramov A E Phys. Usp. 66 (12) 1224 (2023)]
  33. Rybalova E, Schöll E, Strelkova G Journal Of Difference Equations And Applications 29 (9-12) 909 (2023)
  34. Liu C, Wu Zh-X et al Chaos: An Interdisciplinary Journal of Nonlinear Science 33 (1) (2023)
  35. Ladeynov D A, Egorov D G, Pankratov A L Chaos, Solitons & Fractals 171 113506 (2023)
  36. Ning L, Liu T Phys. Scr. 98 (1) 015210 (2023)
  37. Semenov V V, Jalan S, Zakharova A Chaos, Solitons & Fractals 173 113656 (2023)
  38. Pisarchik A N, Hramov A E Physics Reports 1000 1 (2023)
  39. Nikishina N N, Rybalova E V et al Regul. Chaot. Dyn. 27 (2) 242 (2022)
  40. Chen Sh, Wu Zh Acta Mech. Sin. 38 (2) (2022)
  41. Petoukhov S V Lecture Notes On Data Engineering And Communications Technologies Vol. Advances in Intelligent Systems, Computer Science and Digital Economics IIIThe Universal Multilevel Relationship Between the Stochastic Organization of Genomes and the Deterministic Structure of DNA Alphabets121 Chapter 15 (2022) p. 164
  42. Salman S M, Yousef A M, Elsadany A A Int. J. Dynam. Control 10 (1) 69 (2022)
  43. Capała K, Dybiec B, Gudowska-Nowak E Chaos: An Interdisciplinary Journal of Nonlinear Science 32 (6) (2022)
  44. Liu C, Wang Ch-Ya et al Chaos: An Interdisciplinary Journal of Nonlinear Science 32 (8) (2022)
  45. Koverda V P, Skokov V N Physica A: Statistical Mechanics And Its Applications 587 126509 (2022)
  46. Zakharova A, Strelkova G et al Chaos: An Interdisciplinary Journal of Nonlinear Science 32 (1) (2022)
  47. Semenov V V, Zakharova A Chaos: An Interdisciplinary Journal of Nonlinear Science 32 (12) (2022)
  48. Ren R, Yuan G X J. Finan. Eng. 09 (01) (2022)
  49. Rybalova E, Strelkova G Chaos: An Interdisciplinary Journal of Nonlinear Science 32 (2) (2022)
  50. Ren R, Yuan G X SSRN Journal (2021)
  51. Moon W, Giorgini L T, Wettlaufer J S Phys. Rev. E 104 (4) (2021)
  52. Koverda V P, Skokov V N J Appl Mech Tech Phy 62 (6) 912 (2021)
  53. Baspinar E, Schülen L et al Phys. Rev. E 103 (3) (2021)
  54. Silva I G, Korneta W et al Communications In Nonlinear Science And Numerical Simulation 94 105558 (2021)
  55. Kharchenko O I, Lonin Yu F et al Problems of Atomic Science and Technology 135 (2021)
  56. Khovanov I A Phil. Trans. R. Soc. A. 379 (2198) (2021)
  57. Rathore V, Kachhvah A D, Jalan S Chaos: An Interdisciplinary Journal of Nonlinear Science 31 (12) (2021)
  58. Filatov D O, Antonov D A et al Phys. Solid State 62 (4) 642 (2020)
  59. Buslyuk V V, Odzhayev V B et al Russ Microelectron 49 (4) 295 (2020)
  60. Yonkeu R M, Yamapi R et al Eur. Phys. J. B 93 (8) (2020)
  61. Kazimirov A N 2020 International Conference on Industrial Engineering, Applications and Manufacturing (ICIEAM), (2020) p. 1
  62. Liu J, Duan F et al IEEE Access 8 18822 (2020)
  63. Poberezhnyi V, Marchuk O et al PMJUA 5 (2) 15 (2020)
  64. Zhang G, Wang H, Zhang T Results In Physics 17 103158 (2020)
  65. Chen Sh, Zaikin A Quantitative Physiology Chapter 11 (2020) p. 87
  66. Singh S P, Bhatnagar G Handbook of Multimedia Information Security: Techniques and Applications Chapter 5 (2019) p. 89
  67. Agaoglu S N, Calim A et al Neurocomputing 325 59 (2019)
  68. Mandrysz M, Dybiec B J. Phys. A: Math. Theor. 52 (42) 425001 (2019)
  69. Liu C, Liang X Phys. Rev. E 100 (3) (2019)
  70. Koverda V P, Skokov V N Tech. Phys. Lett. 45 (11) 1159 (2019)
  71. Baysal V, Saraç Z, Yilmaz E Nonlinear Dyn 97 (2) 1275 (2019)
  72. Fedorov V M Uspekhi Fizicheskikh Nauk 189 (01) 33 (2019) [Fedorov V M Phys.-Usp. 62 (1) 32 (2019)]
  73. Turutanov O G, Lyakhno V Yu et al Low Temperature Physics 45 (1) 60 (2019)
  74. Petukhov B V J. Exp. Theor. Phys. 129 (2) 312 (2019)
  75. Rybalova E V, Klyushina D Y et al Regul. Chaot. Dyn. 24 (4) 432 (2019)
  76. Liu G, Sun H et al J. Shanghai Jiaotong Univ. (Sci.) 24 (6) 775 (2019)
  77. Boriskov P P, Belyaev M A, Velichko A A J. Commun. Technol. Electron. 64 (7) 705 (2019)
  78. Qiao Z, Lei Ya, Li N Mechanical Systems And Signal Processing 122 502 (2019)
  79. Kharchenko O I Problems of Atomic Science and Technology 128 (2019)
  80. Lucarini V Phys. Rev. E 100 (6) (2019)
  81. Bauermann J, Lindner B Biosystems 178 25 (2019)
  82. Koverda V P, Skokov V N Tech. Phys. 63 (5) 634 (2018)
  83. Wang K-K, Ju L et al Chaos, Solitons & Fractals 108 166 (2018)
  84. Mondal Sh, Das J et al Phys. Rev. E 98 (1) (2018)
  85. Xie M, Fan B et al Phys. Rev. E 98 (5) (2018)
  86. Wang K-K, Yu W-W et al Chinese Journal Of Physics 56 (1) 158 (2018)
  87. Koverda V P, Skokov V N Physica A: Statistical Mechanics And Its Applications 492 1 (2018)
  88. Ivanitskii G R Phys.-Usp. 61 (9) 871 (2018)
  89. Baratti R, Tronci S et al Journal Of Process Control 66 108 (2018)
  90. Liu J, Mao J et al Physics Letters A 382 (42-43) 3071 (2018)
  91. Álvarez Je, Baratti R et al Journal Of Process Control 72 1 (2018)
  92. Semenov V V Phys. Rev. E 95 (5) (2017)
  93. Donocik K, Hartman-Petrycka M et al PLoS ONE 12 (9) e0185179 (2017)
  94. Kuhwald I, Pavlyukevich I Stoch. Dyn. 17 (04) 1750027 (2017)
  95. Floris C Fluct. Noise Lett. 16 (01) 1750003 (2017)
  96. Nefedkin N E, Andrianov E S et al Phys. Rev. A 96 (3) (2017)
  97. Bolotin Yu, Tur A, Yanovsky V Chaos: Concepts, Control and Constructive Use Understanding Complex Systems Chapter 7 (2017) p. 149
  98. Kalashnikov V L Resonance Chapter 4 (2017)
  99. Singh R K Physica A: Statistical Mechanics And Its Applications 473 445 (2017)
  100. Zakoretskii K V, Semenov V V, Vadivasova T E J. Commun. Technol. Electron. 61 (10) 1120 (2016)
  101. Xu L, Duan F et al Physica A: Statistical Mechanics And Its Applications 457 348 (2016)
  102. Wang K-K, Wang Ya-Ju, Wu J-Ch Mod. Phys. Lett. B 30 (24) 1650308 (2016)
  103. Koverda V P, Skokov V N Physica A: Statistical Mechanics And Its Applications 452 126 (2016)
  104. Koverda V P, Skokov V N Tech. Phys. 61 (8) 1135 (2016)
  105. Koverda V P, Skokov V N Dokl. Phys. 61 (11) 535 (2016)
  106. Flores A, Manilla S et al Neuroscience 322 416 (2016)
  107. Guo D, Chen M et al EPL 114 (3) 30001 (2016)
  108. Semenov V, Zakharova A et al EPL 115 (1) 10005 (2016)
  109. Kuhwald I, Pavlyukevich I Procedia Engineering 144 1307 (2016)
  110. Kazimirov A N, Telezhkin V F 2016 2nd International Conference on Industrial Engineering, Applications and Manufacturing (ICIEAM), (2016) p. 1
  111. Liang XiaoMing, Liu ZongHua Sci. China Technol. Sci. 59 (3) 376 (2016)
  112. Argonov V Yu, Makarov D V J. Phys. B: At. Mol. Opt. Phys. 49 (17) 175503 (2016)
  113. Skokov V N, Vinogradov A V et al High Temp 54 (3) 344 (2016)
  114. McDonnell M D, Iannella N et al Network: Computation In Neural Systems 26 (2) 35 (2015)
  115. Skokov V N, Koverda V P et al Physica A: Statistical Mechanics And Its Applications 430 65 (2015)
  116. Hütt M-T, Lüttge U, Thellier M Rhythms in Plants Chapter 11 (2015) p. 279
  117. Calderón R M, Rico M R et al Chaos: An Interdisciplinary Journal of Nonlinear Science 25 (6) (2015)
  118. Li X L, Ning L J Indian J Phys 89 (2) 189 (2015)
  119. Wang K-K, Liu X-B Phys. Scr. 90 (8) 085201 (2015)
  120. Mirgorod Yu A, Dolenko T A Langmuir 31 (31) 8535 (2015)
  121. Semenov V, Korneev I et al Eur. Phys. J. Spec. Top. 224 (8) 1553 (2015)
  122. Makarov D V, Kon’kov L E Phys. Scr. 90 (3) 035204 (2015)
  123. Protsenko I E, Protsenko E D, Uskov A V J Russ Laser Res 36 (5) 458 (2015)
  124. Dybiec B, Szczepaniec K Eur. Phys. J. B 88 (7) (2015)
  125. Djurhuus T, Krozer V IEEE Trans. Circuits Syst. I 62 (8) 1981 (2015)
  126. Korneta W, Garcia-Moreno E, Sena A L Communications In Nonlinear Science And Numerical Simulation 24 (1-3) 145 (2015)
  127. Anishchenko V S, Boev Ya I et al Physics Reports 587 1 (2015)
  128. Szczepaniec K, Dybiec B Phys. Rev. E 89 (4) (2014)
  129. Koverda V P, Skokov V N Dokl. Phys. 59 (7) 291 (2014)
  130. Jin X-Zh, Yang G-H Communications In Nonlinear Science And Numerical Simulation 19 (6) 1985 (2014)
  131. Aliev V Sh, Bortnikov S G, Badmaeva I A Journal of Applied Physics 115 (20) (2014)
  132. Turutanov O G, Golovanevskiy V A et al Physica A: Statistical Mechanics And Its Applications 396 1 (2014)
  133. Szczepaniec K, Dybiec B Phys. Rev. E 90 (3) (2014)
  134. Koverda V P, Skokov V N Physica A: Statistical Mechanics And Its Applications 393 173 (2014)
  135. Skokov V N, Koverda V P Tech. Phys. 59 (5) 637 (2014)
  136. Vinogradov A V, Skokov V N, Koverda V P Dokl. Phys. 59 (10) 449 (2014)
  137. Chen H, Varshney L R, Varshney P K Proc. IEEE 102 (10) 1607 (2014)
  138. Sinha D Physica A: Statistical Mechanics And Its Applications 416 676 (2014)
  139. Tweten D J, Mann B P Physica D: Nonlinear Phenomena 268 25 (2014)
  140. Turutanov O G, Lyakhno V U, Shnyrkov V I Low Temperature Physics 40 (11) 1026 (2014)
  141. Fedorov V M Dokl. Earth Sc. 457 (1) 869 (2014)
  142. Szczepaniec K, Dybiec B J. Stat. Mech. 2014 (9) P09022 (2014)
  143. Makarov D V, Kon’kov L E Eur. Phys. J. B 87 (12) (2014)
  144. Anishchenko V S, Vadivasova T E et al Nonlinear Systems And Complexity Vol. Nonlinear Dynamics and ComplexityExperimental Studies of Noise Effects in Nonlinear Oscillators8 Chapter 10 (2014) p. 261
  145. Rudenko O V Uspekhi Fizicheskikh Nauk 183 (7) 719 (2013) [Rudenko O V Phys.-Usp. 56 (7) 683 (2013)]
  146. Tutu H, Nagata S Phys. Rev. E 87 (2) (2013)
  147. Bashkirtseva I, Neiman A B, Ryashko L Phys. Rev. E 87 (5) (2013)
  148. Yilmaz E, Uzuntarla M et al Physica A: Statistical Mechanics And Its Applications 392 (22) 5735 (2013)
  149. Anishchenko V S, Boev Ya I Communications In Nonlinear Science And Numerical Simulation 18 (4) 953 (2013)
  150. Schwalger T, Miklody D, Lindner B Eur. Phys. J. Spec. Top. 222 (10) 2655 (2013)
  151. Anishchenko V S, Astakhov S V Uspekhi Fizicheskikh Nauk 183 (10) 1009 (2013) [Anishchenko V S, Astakhov S V Phys.-Usp. 56 (10) 955 (2013)]
  152. Pankratova E V, Belykh V N Eur. Phys. J. Spec. Top. 222 (10) 2509 (2013)
  153. Zakharova A, Feoktistov A et al Eur. Phys. J. Spec. Top. 222 (10) 2481 (2013)
  154. Szczepaniec K, Dybiec B Eur. Phys. J. B 86 (11) (2013)
  155. Shutyi A M, Sementsov D I Journal of Applied Physics 113 (16) (2013)
  156. Dong X-Ju, Yan A-Ju Acta Phys. Sin. 62 (7) 070501 (2013)
  157. Belykh I, Belykh V et al Eur. Phys. J. Spec. Top. 222 (10) 2497 (2013)
  158. Zadorozhniy V G Comput. Math. And Math. Phys. 53 (4) 486 (2013)
  159. Pisarchik A N, Martínez-Zérega B E Physics Letters A 377 (42) 3016 (2013)
  160. Skokov V N, Koverda V P Dokl. Phys. 58 (8) 343 (2013)
  161. Koverda V P, Skokov V N Dokl. Phys. 58 (10) 433 (2013)
  162. Makarov D V, Konʼkov L E Physics Letters A 377 (43) 3093 (2013)
  163. Nikitin A, Stocks N G, Bulsara A R Eur. Phys. J. Spec. Top. 222 (10) 2583 (2013)
  164. Xu Y, Li Ju et al Eur. Phys. J. B 86 (5) (2013)
  165. Anishchenko V S, Astakhov S V et al Communications In Nonlinear Science And Numerical Simulation 18 (12) 3423 (2013)
  166. Arora A, Gera S et al PLoS ONE 8 (2) e52736 (2013)
  167. Koverda V P, Skokov V N Physica A: Statistical Mechanics And Its Applications 391 (23) 5850 (2012)
  168. Liu W D, Wu H Sh AMM 246-247 37 (2012)
  169. Pinamonti G, Marro J et al PLoS ONE 7 (12) e51170 (2012)
  170. Pisarchik A N, Martínez-Zérega B E IFAC Proceedings Volumes 45 (12) 203 (2012)
  171. Aliev V S, Bortnikov S G, Dem’yanenko M A Tech. Phys. Lett. 38 (11) 965 (2012)
  172. Dumas Je, Marcus Ja Physica B: Condensed Matter 407 (11) 1750 (2012)
  173. JIA ZHENG-LIN, MEI DONG-CHENG Mod. Phys. Lett. B 25 (16) 1377 (2011)
  174. Kukharenko B G J. Mach. Manuf. Reliab. 40 (2) 113 (2011)
  175. Bahar S, Neiman A B et al Chaos: An Interdisciplinary Journal of Nonlinear Science 21 (4) (2011)
  176. Kolomietz V M, Radionov S V Phys. Rev. E 84 (5) (2011)
  177. Juan W, Yong X, Huiqing Zh 2011 IEEE 2nd International Conference on Software Engineering and Service Science, (2011) p. 381
  178. Misono M, Miyakawa K J. Phys. Soc. Jpn. 80 (11) 114801 (2011)
  179. Yang X L, Senthilkumar D V et al Chaos: An Interdisciplinary Journal of Nonlinear Science 21 (4) (2011)
  180. Aliev K M, Kamilov I K et al Tech. Phys. 56 (2) 298 (2011)
  181. Jung P, Marchesoni F Chaos: An Interdisciplinary Journal of Nonlinear Science 21 (4) (2011)
  182. Mateos J L, Alatriste F R Chaos: An Interdisciplinary Journal of Nonlinear Science 21 (4) (2011)
  183. Tutu H, Hoshino Yu Phys. Rev. E 84 (6) (2011)
  184. Cifra M, Fields Je Z, Farhadi A Progress In Biophysics And Molecular Biology 105 (3) 223 (2011)
  185. Li Y, Schmid G, Hänggi P Eur. Phys. J. Spec. Top. 187 (1) 171 (2010)
  186. La Cognata A, Valenti D et al Phys. Rev. E 82 (1) (2010)
  187. Kalmykov Yu P, Titov S V, Coffey W T J. Phys.: Condens. Matter 22 (37) 376001 (2010)
  188. Zeng L, Xu B Physica A: Statistical Mechanics And Its Applications 389 (22) 5128 (2010)
  189. Pakhalov V B J. Contemp. Phys. 45 (2) 58 (2010)
  190. Morillo M, Gómez-Ordóñez J, Casado J M Chemical Physics 375 (2-3) 416 (2010)
  191. Rallabandi V P S, Roy P K Magnetic Resonance Imaging 28 (9) 1361 (2010)
  192. Bezruchko B P, Smirnov D A Extracting Knowledge From Time Series Springer Series In Synergetics Chapter 4 (2010) p. 127
  193. HE DAIHAI, STONE LEWI, CAZELLES BERNARD Int. J. Bifurcation Chaos 20 (06) 1779 (2010)
  194. Tutu H Progress Of Theoretical Physics 123 (1) 1 (2010)
  195. Liang Zh, Xiao-Qin L et al Chinese Phys. Lett. 27 (4) 040503 (2010)
  196. Anishchenko V S, Astakhov S V, Vadivasova T E Regul. Chaot. Dyn. 15 (2-3) 261 (2010)
  197. Chizhevsky V N Phys. Rev. E 80 (6) (2009)
  198. Dybiec B, Gudowska-Nowak E J. Stat. Mech. 2009 (05) P05004 (2009)
  199. Dybiec B Phys. Rev. E 80 (4) (2009)
  200. Safronov V A Hum Physiol 35 (3) 306 (2009)
  201. Burada P S, Schmid G et al Europhys. Lett. 87 (5) 50003 (2009)
  202. Landa P S, Trubetskov D I, Gusev V A Uspekhi Fizicheskikh Nauk 179 (3) 255 (2009) [Landa P S, Trubetskov D I, Gusev V A Phys.-Usp. 52 (3) 235 (2009)]
  203. McDonnell M D, Abbott D, Friston K J PLoS Comput Biol 5 (5) e1000348 (2009)
  204. JEŻO M, KRAWIECKI A Int. J. Mod. Phys. B 23 (02) 189 (2009)
  205. Burada P S, Schmid G et al Eur. Phys. J. B 69 (1) 11 (2009)
  206. Aliev K M, Kamilov I K et al Semiconductors 43 (4) 495 (2009)
  207. Goychuk I, Hänggi P Eur. Phys. J. B 69 (1) 29 (2009)
  208. Zolotoverkh I I, Kravtsov N V et al Quantum Electron. 39 (1) 53 (2009)
  209. Harikrishnan K P, Ambika G Eur. Phys. J. B 61 (3) 343 (2008)
  210. Hakhoumyan A A, Tovmasyan V Zh, Haroyan H S J. Contemp. Phys. 43 (3) 125 (2008)
  211. Rallabandi V P S Computerized Medical Imaging And Graphics 32 (4) 316 (2008)
  212. DYBIEC BARTŁOMIEJ Int. J. Mod. Phys. C 19 (01) 49 (2008)
  213. Viridi S, Grete P, Markus M Physics Letters A 372 (7) 1040 (2008)
  214. Kuz’menko A P, Burkov S M, Kuz’menko N A Russ Phys J 51 (11) 1230 (2008)
  215. Zhabrev V A, Margolin V I Inorg Mater 44 (13) 1459 (2008)
  216. Turutanov O G, Shnyrkov V I, Glukhov A M Low Temperature Physics 34 (1) 37 (2008)
  217. Astrov Yu A, Fradkov A L, Guzenko P Yu Phys. Rev. E 77 (2) (2008)
  218. Liu Zhi-hong, Zhou Yu-rong, Pang Xiao-feng 2008 2nd International Conference on Bioinformatics and Biomedical Engineering, (2008) p. 1446
  219. Vargunin A, Örd T, Tammelo R Phys. Rev. E 77 (6) (2008)
  220. Agudov N V, Krichigin A V Radiophys Quantum El 51 (10) 812 (2008)
  221. Goldbach M, Loh M et al Physica D: Nonlinear Phenomena 237 (3) 316 (2008)
  222. Dombrovsky A N, Reshetnyak S A Radiophys Quantum El 51 (9) 726 (2008)
  223. Burada P S, Schmid G et al Phys. Rev. Lett. 101 (13) (2008)
  224. Khovanov I A Phys. Rev. E 77 (1) (2008)
  225. Vargunin A, Örd T et al J. Phys.: Condens. Matter 20 (36) 362202 (2008)
  226. Garcia R, Moss F et al Mathematical Biosciences 207 (2) 165 (2007)
  227. Landa P S, Ushakov V G Jetp Lett. 86 (5) 304 (2007)
  228. Janson N B, Balanov A G, Schöll E Handbook of Chaos Control 1 (2007) p. 221
  229. Nikitin A, Stocks N G, Bulsara A R Phys. Rev. E 76 (4) (2007)
  230. Hütt M-T, Lüttge U Rhythms in Plants Chapter 15 (2007) p. 313
  231. Martínez L, Pérez T et al Journal Of Neurophysiology 97 (6) 4007 (2007)
  232. Sagués F, Sancho J M, García-Ojalvo J Rev. Mod. Phys. 79 (3) 829 (2007)
  233. Pomplun J, Balanov A G, Schöll E Phys. Rev. E 75 (4) (2007)
  234. Bonanno G, Valenti D, Spagnolo B Phys. Rev. E 75 (1) (2007)
  235. Isavnin A G Russ Phys J 50 (5) 471 (2007)
  236. Pavlov A N, Anishchenko V S Uspekhi Fizicheskikh Nauk 177 (8) 859 (2007)
  237. Khovanov I A, McClintock P V E Phys. Rev. E 76 (3) (2007)
  238. Dybiec B, Gudowska-Nowak E New J. Phys. 9 (12) 452 (2007)
  239. Nikitin A, Stocks N G, Morse R P Phys. Rev. E 75 (2) (2007)
  240. Anishchenko V S, Astakhov V et al Nonlinear Dynamics of Chaotic and Stochastic Systems Springer Series In Synergetics Chapter 3 (2006) p. 307
  241. Anishchenko V S, Astakhov V et al Nonlinear Dynamics of Chaotic and Stochastic Systems Springer Series In Synergetics Chapter 1 (2006) p. 1
  242. Prager T, Schimansky-Geier L J Stat Phys 123 (2) 391 (2006)
  243. Liu Ju, Wu J, Lou Zh Sixth International Conference on Intelligent Systems Design and Applications, (2006) p. 999
  244. Tessone C J, Ullner E et al Phys. Rev. E 74 (4) (2006)
  245. Glukhov A M, Turutanov O G et al Low Temperature Physics 32 (12) 1123 (2006)
  246. Ambika G, Menon K, Harikrishnan K P Europhys. Lett. 73 (4) 506 (2006)
  247. Akchurin A G, Akchurin G G, Mel’nikov L A Tech. Phys. Lett. 32 (7) 593 (2006)
  248. Lopera A, Buldú Ja M et al Phys. Rev. E 73 (2) (2006)
  249. Vladimirov S N Russ Phys J 49 (11) 1204 (2006)
  250. Fischer M, Imkeller P Stochastic Analysis And Applications 24 (1) 135 (2006)
  251. Ginzburg S L, Pustovoit M A Physica A: Statistical Mechanics And Its Applications 369 (2) 354 (2006)
  252. Makarov D, Uleysky M J. Phys. A: Math. Gen. 39 (3) 489 (2006)
  253. Anishchenko V S, Anufrieva M V, Vadivasova T E Tech. Phys. Lett. 32 (10) 873 (2006)
  254. Calisto H, Mora F, Tirapegui E Phys. Rev. E 74 (2) (2006)
  255. Astrov Yu A, Fradkov A L, Guzenko P Yu Proceedings. 2005 International Conference Physics and Control, 2005., (2005) p. 662
  256. Casado-Pascual Je, Gómez-Ordóñez J, Morillo M Chaos: An Interdisciplinary Journal of Nonlinear Science 15 (2) (2005)
  257. Fradkov A L Uspekhi Fizicheskikh Nauk 175 (2) 113 (2005)
  258. Chowdhury D Reson 10 (11) 42 (2005)
  259. Goychuk I, Hänggi P et al Phys. Rev. E 71 (6) (2005)
  260. Nikitin A, Stocks N G, Bulsara A R Physics Letters A 334 (1) 12 (2005)
  261. Han Y-X, Li J-H, Chen Sh-G Commun. Theor. Phys. 44 (3) 426 (2005)
  262. Han Y-X, Li J-H, Chen Sh-G Commun. Theor. Phys. 44 (2) 226 (2005)
  263. Isavnin A G Russ Phys J 48 (7) 694 (2005)
  264. Park K, Lai Y -C Europhys. Lett. 70 (4) 432 (2005)
  265. Mantegna R N, Spagnolo B et al Journal of Applied Physics 97 (10) (2005)
  266. Volkov E I, Ullner E, Kurths J Chaos: An Interdisciplinary Journal of Nonlinear Science 15 (2) (2005)
  267. Stochastic Equations through the Eye of the Physicist (2005) p. 513
  268. Fiasconaro A, Spagnolo B, Boccaletti S Phys. Rev. E 72 (6) (2005)
  269. Balakrishnan J J. Phys. A: Math. Gen. 38 (8) 1627 (2005)
  270. Zhou T, Chen L, Wang R Phys. Rev. E 71 (6) (2005)
  271. Pankratova E V, Polovinkin A V, Mosekilde E Eur. Phys. J. B 45 (3) 391 (2005)
  272. Goldobin D S, Pikovsky A S Physica A: Statistical Mechanics And Its Applications 351 (1) 126 (2005)
  273. Volkov E I Radiophys Quantum Electron 48 (3) 212 (2005)
  274. FISCHER MARKUS, IMKELLER PETER Stoch. Dyn. 05 (02) 247 (2005)
  275. Prager T, Schimansky-Geier L Phys. Rev. E 71 (3) (2005)
  276. Pellecchia G L, Shockley K, Turvey M T Cognitive Science 29 (4) 531 (2005)
  277. DUAN FABING, ABBOTT DEREK, GAO QISHENG Fluct. Noise Lett. 05 (02) L127 (2005)
  278. Diestelhorst M Ferroelectrics 316 (1) 65 (2005)
  279. Herrmann S, Imkeller P, Pavlyukevich I Interacting Stochastic Systems Chapter 15 (2005) p. 327
  280. Zolotaryuk Y, Ermakov V N, Christiansen P L J. Phys. A: Math. Gen. 37 (23) 6043 (2004)
  281. EBELING WERNER, KARGOVSKY ALEXEY et al Fluct. Noise Lett. 04 (01) L183 (2004)
  282. Neiman A B, Russell D F Journal Of Neurophysiology 92 (1) 492 (2004)
  283. Xu B, Duan F, Chapeau-Blondeau F Phys. Rev. E 69 (6) (2004)
  284. Lüttge U, Hütt M -Th Progress In Botany Vol. Progress in BotanyHigh Frequency or Ultradian Rhythms in Plants65 Chapter 10 (2004) p. 235
  285. Balanov A G, Janson N B, Schöll E Physica D: Nonlinear Phenomena 199 (1-2) 1 (2004)
  286. NIKITIN A, STOCKS N G, BULSARA A R Fluct. Noise Lett. 04 (01) L63 (2004)
  287. Bloodworth D M, Nguyen B N et al American Journal Of Physical Medicine & Rehabilitation 83 (8) 584 (2004)
  288. Moss F, Ward L M, Sannita W G Clinical Neurophysiology 115 (2) 267 (2004)
  289. Landa P S Dokl. Phys. 49 (12) 706 (2004)
  290. LIU ZONGHUA, LAI YING-CHENG, NACHMAN ARJE Int. J. Bifurcation Chaos 14 (05) 1655 (2004)
  291. Goychuk I, Hänggi P Phys. Rev. E 69 (2) (2004)
  292. Imkeller P, Pavlyukevich I Seminar on Stochastic Analysis, Random Fields and Applications IV Chapter 10 (2004) p. 141
  293. Bahar S, Moss F Mathematical Biosciences 188 (1-2) 81 (2004)
  294. Casado-Pascual J, Baltanás J P Phys. Rev. E 69 (4) (2004)
  295. Krawiecki A Physica A: Statistical Mechanics And Its Applications 333 505 (2004)
  296. Dunkel J, Hilbert S et al Phys. Rev. E 69 (5) (2004)
  297. Kamilov I K, Aliev K M et al Tech. Phys. Lett. 30 (2) 141 (2004)
  298. KRAWIECKI A Int. J. Mod. Phys. B 18 (12) 1759 (2004)
  299. Wellens T, Shatokhin V, Buchleitner A Rep. Prog. Phys. 67 (1) 45 (2004)
  300. Casado-Pascual Je, Gómez-Ordóñez J et al Phys. Rev. E 68 (6) (2003)
  301. Sopin M O Opt. Spectrosc. 94 (4) 584 (2003)
  302. Bystrai G P, Studenok S I, Ivanova S I High Temperature 41 (4) 510 (2003)
  303. Ginzburg S L, Gerashchenko O V J. Exp. Theor. Phys. 97 (4) 826 (2003)
  304. SHERSTNEV V V, KRIER A et al Fluct. Noise Lett. 03 (01) L91 (2003)
  305. Matyjaśkiewicz S, Krawiecki A et al Phys. Rev. E 68 (1) (2003)
  306. Vol. 2003 IEEE International Workshop on Workload Characterization (IEEE Cat. No.03EX775)Stochastic dynamics of FitzHugh-Nagumo model near the canard explosionA.ShishkinD.Postnov2 (2003) p. 649
  307. Casado-Pascual Je, Gómez-Ordóñez J et al Phys. Rev. Lett. 91 (21) (2003)
  308. FREUND JAN A, BARBAY SYLVAIN et al Fluct. Noise Lett. 03 (02) L195 (2003)
  309. Manjarrez E, Rojas-Piloni G et al J. Neurosci. 23 (6) 1997 (2003)
  310. Krawiecki A, Hołyst J A Physica A: Statistical Mechanics And Its Applications 317 (3-4) 597 (2003)
  311. Nikitin A, Stocks N G, Bulsara A R Phys. Rev. E 68 (1) (2003)
  312. Misono M, Kohmoto T et al Phys. Rev. E 67 (6) (2003)
  313. Zorzano M P, Vázquez L Physica D: Nonlinear Phenomena 179 (1-2) 105 (2003)
  314. Casado-Pascual Je, Denk C et al Phys. Rev. E 67 (3) (2003)
  315. Hasegawa H Phys. Rev. E 67 (4) (2003)
  316. Casado J M, Baltanás J P Phys. Rev. E 68 (6) (2003)
  317. Imkeller P, Pavlyukevich I Solid Mechanics And Its Applications Vol. IUTAM Symposium on Nonlinear Stochastic DynamicsThe Reduction of Potential Diffusions to Finite State Markov Chains and Stochastic Resonance110 Chapter 5 (2003) p. 57
  318. Krawiecki A, Stemler T Phys. Rev. E 68 (6) (2003)
  319. Krawiecki A, Kacperski K et al Chaos, Solitons & Fractals 18 (1) 89 (2003)
  320. Baltanás J P, López L et al Phys. Rev. E 67 (6) (2003)
  321. Gomes I, Mirasso C R et al Physica A: Statistical Mechanics And Its Applications 327 (1-2) 115 (2003)
  322. Gerashchenko O V Tech. Phys. Lett. 29 (3) 256 (2003)
  323. Das M, Ananthakrishna G, Ramaswamy S Phys. Rev. E 68 (6) (2003)
  324. Chizhevsky V N, Smeu E, Giacomelli G Phys. Rev. Lett. 91 (22) (2003)
  325. Freund Ja A, Schimansky-Geier L, Hänggi P Chaos: An Interdisciplinary Journal of Nonlinear Science 13 (1) 225 (2003)
  326. Anishchenko V S, Sosnovtseva O V et al Mathematics And Computers In Simulation 58 (4-6) 469 (2002)
  327. Balanov A G, Janson N B et al Phys. Rev. E 65 (4) (2002)
  328. IMKELLER P, PAVLYUKEVICH I Stoch. Dyn. 02 (04) 463 (2002)
  329. CASADO-PASCUAL J, GÓMEZ-ORDÓÑEZ J et al Fluct. Noise Lett. 02 (03) L127 (2002)
  330. Hasegawa H Phys. Rev. E 66 (2) (2002)
  331. Glukhov A M, Sivakov A G, Ustinov A V Low Temperature Physics 28 (6) 383 (2002)
  332. Vol. 2002 IEEE International Symposium on Circuits and Systems. Proceedings (Cat. No.02CH37353)Intermodulation distortion measures in a stochastic resonatorF.R.PalomoJ.M.QueroL.G.Franquelo4 (2002) p. IV-505
  333. Hütt M ‐Th, Lüttge U Plant Biology 4 (3) 281 (2002)
  334. Drabkin G M Jetp Lett. 76 (1) 8 (2002)
  335. ZAIKIN A Fluct. Noise Lett. 02 (03) L157 (2002)
  336. Ginzburg S L, Pustovoit M A Phys. Rev. E 66 (2) (2002)
  337. Callenbach L, Hänggi P et al Phys. Rev. E 65 (5) (2002)
  338. Turutanov O G, Omelyanchouk A N et al Physica C: Superconductivity 372-376 237 (2002)
  339. Rubchinsky L L, Sushchik M M, Osipov G V Mathematics And Computers In Simulation 58 (4-6) 443 (2002)
  340. Dikshtein I E, Kuznetsov D V, Schimansky-Geier L Phys. Rev. E 65 (6) (2002)
  341. Bahar S, Neiman A et al Phys. Rev. E 65 (5) (2002)
  342. FREUND JAN A, SCHIMANSKY-GEIER LUTZ et al Journal Of Theoretical Biology 214 (1) 71 (2002)
  343. Evstigneev M, Pankov V, Prince R H Phys. Rev. Lett. 88 (24) (2002)
  344. Goychuk I Phys. Rev. E 64 (2) (2001)
  345. Dikshtein I E, Polzikova N I et al Journal of Applied Physics 90 (10) 5425 (2001)
  346. Silchenko A, Hu Ch-K Phys. Rev. E 63 (4) (2001)
  347. Postnov D É, Setsinskii D V, Sosnovtseva O V Tech. Phys. Lett. 27 (6) 463 (2001)
  348. GINZBURG SAUL L, PUSTOVOIT MARK A, GERASHCHENKO OLEG V Fluct. Noise Lett. 01 (03) L131 (2001)
  349. Freund Ja A, Kienert J et al Phys. Rev. E 63 (3) (2001)
  350. Chik D T W, Wang Yu, Wang Z D Phys. Rev. E 64 (2) (2001)
  351. Rozenfeld R, Freund Ja A et al Phys. Rev. E 64 (5) (2001)
  352. Krawiecki A, Matyjaśkiewicz S et al Phys. Rev. E 64 (4) (2001)
  353. Zaikin A, Kurths J Chaos: An Interdisciplinary Journal of Nonlinear Science 11 (3) 570 (2001)
  354. Ginzburg S L, Pustovoit M A, Gerashchenko O V Jetp Lett. 73 (11) 592 (2001)
  355. Zubkov V I, Shcheglov V I Tech. Phys. Lett. 27 (4) 348 (2001)
  356. Matyjaśkiewicz S, Krawiecki A et al Phys. Rev. E 63 (2) (2001)
  357. Fainberg Ya B Plasma Phys. Rep. 26 (4) 335 (2000)
  358. Kirchanov V S Russian Physics Journal 43 (9) 797 (2000)
  359. Anishchenko V S, Kopeikin A S et al Phys. Rev. E 62 (6) 7886 (2000)
  360. Freund J A, Neiman A B, Schimansky-Geier L Europhys. Lett. 50 (1) 8 (2000)
  361. Ditzinger T, Stadler M et al Phys. Rev. E 62 (2) 2566 (2000)
  362. Piana M, Canfora M, Riani M Phys. Rev. E 62 (1) 1104 (2000)
  363. Anishchenko V, Kopeikin A et al Lecture Notes In Physics Vol. Stochastic Processes in Physics, Chemistry, and BiologyPeculiarities of Nonhyperbolic Chaos557 Chapter 37 (2000) p. 411
  364. ANISHCHENKO V S, BALANOV A G et al Int. J. Bifurcation Chaos 10 (10) 2339 (2000)
  365. Rozenfeld R, Lindner B Lecture Notes In Physics Vol. Stochastic Processes in Physics, Chemistry, and BiologyStochastic Resonance in a System of Coupled Asymmetric Resonators557 Chapter 14 (2000) p. 139
  366. Krawiecki A, Sukiennicki A, Kosiński R A Phys. Rev. E 62 (6) 7683 (2000)
  367. Rubchinsky L, Sushchik M Phys. Rev. E 62 (5) 6440 (2000)
  368. Grishanin B A, Romanovskii Yu M et al Lecture Notes In Physics Vol. Stochastic Processes in Physics, Chemistry, and BiologyQuantum Mechanical Model of Proton Transfer in a Fluctuating Potential Field of the Active Site of α-Chymotrypsin557 Chapter 31 (2000) p. 338
  369. SBITNEV VALERY I, PUSTOVOIT MARK A Int. J. Bifurcation Chaos 10 (08) 1961 (2000)
  370. Greenwood P E, Ward L M et al Phys. Rev. Lett. 84 (20) 4773 (2000)
  371. Milstein G N, Tretyakov M V Physica D: Nonlinear Phenomena 140 (3-4) 244 (2000)
  372. Zaikin A A, Kurths J, Schimansky-Geier L Phys. Rev. Lett. 85 (2) 227 (2000)
  373. Rozenfeld R, Neiman A, Schimansky-Geier L Phys. Rev. E 62 (3) R3031 (2000)
  374. García-Ojalvo J, Schimansky-Geier L Journal Of Statistical Physics 101 (1-2) 473 (2000)
  375. Gornostyrev Yu N, Zhdakhin D I et al Jetp Lett. 69 (8) 630 (1999)
  376. Klimontovich Yu L Uspekhi Fizicheskikh Nauk 169 (1) 39 (1999)
  377. Neiman A, Schimansky-Geier L et al Phys. Rev. E 60 (1) 284 (1999)
  378. Osipov V V, Ponizovskaya E V Jetp Lett. 70 (7) 425 (1999)
© 1918–2025 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions