RSS feeds
РусскийEnglish
Issue 12, 2024
Volume year page
Issues Authors PACS Subscription For authors

Issues

 / 

2005

 / 

February

←  →

Reviews of topical problems


Application of cybernetic methods in physics


Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, prosp. Bolshoi 61, V.O., St. Petersburg, 199178, Russian Federation

Basic aspects of the subject and methodology for a new and rapidly developing area of research that has emerged at the intersection of physics and control theory (cybernetics) and emphasizes the application of cybernetic methods to the study of physical systems are reviewed. Speed-gradient and Hamiltonian solutions for energy control problems in conservative and dissipative systems are presented. Application examples such as the Kapitza pendulum, controlled overcoming of a potential barrier, and controlling coupled oscillators and molecular systems are presented. A speed-gradient approach to modeling the dynamics of physical systems is discussed.

Fulltext pdf (401 KB)
Fulltext is also available at DOI: 10.1070/PU2005v048n02ABEH002047
PACS: 02.30.Yy, 05.45.Gg, 05.45.Xt, 32.80.Qk, 45.80.+r (all)
DOI: 10.1070/PU2005v048n02ABEH002047
URL: https://ufn.ru/en/articles/2005/2/a/
000229667900001
2005PhyU...48..103F
Citation: Fradkov A L "Application of cybernetic methods in physics" Phys. Usp. 48 103–127 (2005)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Фрадков А Л «О применении кибернетических методов в физике» УФН 175 113–138 (2005); DOI: 10.3367/UFNr.0175.200502a.0113

References (130) ↓ Cited by (57) Similar articles (20)

  1. Szillard L Z. Phys. 53 840 (1929)
  2. Gabor D IRE Trans. Inf. Theory 1 (1) 48 (1953)
  3. Brillyuen L Nauka i Teoriya Informatsii (M.: Fizmatgiz, 1960)
  4. Stratonovich R L Teoriya Informatsii (M.: Sov. radio, 1975)
  5. Stratonovich R L, Polyakova M S Elementy Molekulyarnoi Fiziki, Termodinamiki i Statisticheskoi Fiziki (M.: Izd-vo MGU, 1981)
  6. Poplavskii R P Usp. Fiz. Nauk 115 465 (1975); Poplavskii R P Sov. Phys. Usp. 18 222 (1975)
  7. Poplavskii R P Termodinamika Informatsionnykh Protsessov (M.: Nauka, 1981)
  8. Landauer R Science 272 1914 (1996)
  9. Kadomtsev B B Usp. Fiz. Nauk 164 449 (1994); Kadomtsev B B Phys. Usp. 37 425 (1994)
  10. Kadomtsev B B Dinamika i Informatsiya 2-e izd. (M.: Red. zhurn. "Uspekhi fizicheskikh nauk", 1999)
  11. Kilin S Ya Usp. Fiz. Nauk 169 507 (1999); Kilin S Ya Phys. Usp. 42 435 (1999)
  12. Kholevo A S Vvedenie v Kvantovuyu Teoriyu Informatsii (M.: Izd-vo MTsNMO, 2002)
  13. Valiev K A, Kokin A A Kvantovyi Komp’yuter: Mechta ili Real’nost’? (Izhevsk: RKhD, 2000)
  14. Valiev K A, Kokin A A Kvantovyi Komp’yuter i Kvantovye Vychisleniya Vol. 2 (Izhevsk: RKhD, 1999)
  15. Viner N Kibernetika 2-e izd. (M.: Sov. radio, 1968)
  16. Brockett R W In Geometric Control Theory, Lie Groups Vol. VII (Eds C Martin, R Hermann) (Brookline, MA: Mat. Sci. Press, 1977) p. 1
  17. Ott E, Grebogi C, Yorke J A Phys. Rev. Lett. 64 1196 (1990)
  18. Dudnik E N i dr. Vestn. MGU 3. Fiz. Astron. 24 (4) 84 (1983)
  19. Kuznetsov Yu I i dr. Dokl. Akad. Nauk SSSR 275 1388 (1984)
  20. Kuznetsov Yu I i dr. Dokl. Akad. Nauk SSSR 281 291 (1985)
  21. Landa P S, Perminov S M Izv. Vuzov. Radiofiz. 28 424 (1985)
  22. Alekseev V V, Loskutov A Yu Vestn. MGU 3. Fiz. Astron. 26 (3) 40 (1985)
  23. Alekseev V V, Loskutov A Yu Dokl. Akad. Nauk SSSR 293 1346 (1987)
  24. Neimark Yu I, Landa P S Stokhasticheskie i Khaoticheskie Kolebaniya (M.: Nauka, 1987)
  25. Fradkov A L, Pogromsky A Yu Introduction To Control Of Oscillations And Chaos (Singapore: World Scientific, 1998)
  26. Fradkov A L Physica D 128 159 (1999)
  27. Fradkov A L Avtomatika Telemekhanika (3) 213 (1999)
  28. Fradkov A L Kiberneticheskaya Fizika (SPb.: Nauka, 2003)
  29. Leff H S, Rex A F (Eds) Maxwell’s Demon — Entropy, Information, Computing (New York: Random House, 1990)
  30. Bak P E, Yoshino R Contrib. Plasma Phys. 40 227 (2000)
  31. Lloyd S Phys. Rev. A 56 3374 (1997)
  32. Butkovskii A G, Samoilenko Yu I Upravlenie Kvantovo-mekhanicheskimi Protsessami (M.: Nauka, 1984)
  33. Fradkov A L, Yakubovskii O A (Red.) Upravlenie Molekulyarnymi i Kvantovymi Sistemami. Sb. Perevodov (M. - Izhevsk: Institut komp’yuternykh issledovanii, 2003)
  34. Sarkisov O M i dr. Kvantovaya Elektron. 31 483 (2001)
  35. Turchin V F Fenomen Nauki: Kiberneticheskii Podkhod k Evolyutsii 2-e izd. (M.: ETS, 2000)
  36. Blekhman I I, Fradkov A L (Red.) Upravlenie Mekhatronnymi Vibratsionnymi Ustanovkami (SPb.: Nauka, 2001)
  37. Blekhman I I, Fradkov A L In Selected Topics In Vibrational Mechanics (Ed. I I Blekhman) (Singapore: World Scientific, 2004) p. 179
  38. Abed E H, Fu J-H Systems Control Lett. 7 11 (1986); Abed E H, Fu J-H Systems Control Lett. 8 467 (1987)
  39. Loskutov A Yu Vestn. MGU 3. Fiz. Astron. (2) 3 (2001)
  40. Andrievskii B R, Fradkov A L Avtomatika Telemekhanika (5) 3 (2003); Andrievskii B R, Fradkov A L Avtomatika Telemekhanika (4) 3 (2004)
  41. Kapitsa P L Zh. Eksp. Teor. Fiz. 21 5 (1951)
  42. Blekhman I I Sinkhronizatsiya Dinamicheskikh Sistem (M.: Nauka, 1971)
  43. Blekhman I I Vibratsionnaya Mekhanika (M.: Nauka, 1994)
  44. Meerkov S M IEEE Trans. Autom. Control 25 755 (1980)
  45. Bellman R, Bentsman J, Meerkov S IEEE Trans. Autom. Control 31 710 (1986)
  46. Landa P S, McClintock P V E J. Phys. A 33 L433 (2000)
  47. Anishchenko V S i dr. Usp. Fiz. Nauk 169 7 (1999); Anishchenko V S et al. Phys. Usp. 42 7 (1999)
  48. Khorstkhemke V, Lefevr R Indutsirovannye Shumom Perekhody (M.: Mir, 1987)
  49. Landa P S, McClintock P V E Phys. Rep. 323 2 (2000)
  50. Landa P S Radiotekhnika Elektronika 46 1157 (2001)
  51. Doering C A Physica A 254 1 (1998)
  52. Blekhman I I, Landa P S, Rosenblum M G Appl. Mech. Rev. 48 733 (1995)
  53. Fajans J, Friedland L Am. J. Phys. 69 1096 (2001)
  54. Liu W-K, Wu B, Yuan J-M Phys. Rev. Lett. 75 1292 (1995)
  55. Meerson B, Friedland L Phys. Rev. A 41 5233 (1990)
  56. Aranson I, Meerson B, Tajima T Phys. Rev. A 45 7500 (1992)
  57. Bogolyubov N N, Mitropol’skii Yu A Asimptoticheskie Metody v Teorii Nelineinykh Kolebanii 4-e izd. (M.: Nauka, 1974)
  58. Neimark Yu I Dinamicheskie Sistemy i Upravlyaemye Protsessy (M.: Nauka, 1978)
  59. Pervozvanskii A A Kurs Teorii Avtomaticheskogo Upravleniya (M.: Nauka, 1986)
  60. Andrievskii B R, Fradkov A L Izbrannye Glavy Teorii Avtomaticheskogo Upravleniya s Primerami na Yazyke MATLAB (SPb.: Nauka, 1999)
  61. Miroshnik I V, Nikiforov V O, Fradkov A L Nelineinoe i Adaptivnoe Upravlenie Slozhnymi Dinamicheskimi Sistemami (SPb.: Nauka, 2000)
  62. Fradkov A L Adaptivnoe Upravlenie v Slozhnykh Sistemakh (M.: Nauka, 1990)
  63. Klimontovich Yu L Vvedenie v Fiziku Otkrytykh Sistem (M.: Yanus-K, 2002)
  64. Shiriaev A S, Fradkov A L Automatica 36 1709 (2000)
  65. Zaslavskii G M, Sagdeev R Z Vvedenie v Nelineinuyu Fiziku: Ot Mayatnika do Turbulentnosti i Khaosa (M.: Nauka, 1988)
  66. Landa P S Nelineinye Kolebaniya i Volny (M.: Fizmatlit, 1997)
  67. Galilei G Izbrannye Trudy Vol. 1, 2 (M.: Fizmatgiz, 1964)
  68. Andronov A A, Vitt A A, Khaikin S E Teoriya Kolebanii 2-e izd. (M.: Fizmatgiz, 1959)
  69. Babitskii V I, Krupenin V L Kolebaniya v Sil’no Nelineinykh Sistemakh (M.: Nauka, 1985)
  70. Babitsky V I, Chitayev M I Mechatronics 6 897 (1996)
  71. Akulenko L D Izv. RAN Mekhanika tverdogo tela (3) 110 (1993)
  72. Stephenson A Mem. Proc. Manch. Lit. Philos. Soc. 52 1 (1908); Stephenson A Philos. Mag. 15 233 (1909)
  73. Leonov G A, Shumafov M M Problemy Stabilizatsii Lineinykh Upravlyaemykh Sistem (SPb.: Izd-vo SPbGU, 2002)
  74. Fradkov A L, Shiegin V S Izv. RAN Teoriya i sistemy upravleniya (2) 19 (1999)
  75. Pontryagin L S, Andronov A A, Vitt A A Zh. Eksp. Teor. Fiz. 3 165 (1933)
  76. Stewart H B et al. Physica D 85 259 (1995)
  77. Butkovskii A G Teoriya Optimal’nogo Upravleniya Sistemami s Raspredelennymi Parametrami (M.: Nauka, 1965); Butkovskii A G Metody Upravleniya Sistemami s Raspredelennymi Parametrami (M.: Nauka, 1975)
  78. Hu G, Qu Z, He K Int. J. Bifurc. Chaos 5 901 (1995)
  79. Parmananda P, Hildebrand M, Eiswirth M Phys. Rev. E 56 239 (1997)
  80. Gade P M Phys. Rev. E 57 7309 (1998)
  81. Kocarev L, Tasev Z, Parlitz U Phys. Rev. Lett. 79 51 (1997)
  82. Sinha S, Gupte N Phys. Rev. E 58 5221 (1998)
  83. Montagne R, Colet P Phys. Rev. E 56 4017 (1997)
  84. Bleich M E et al. Phys. Rev. E 55 2119 (1997)
  85. Boccaletti S, Bragard J, Arecchi F T Phys. Rev. E 59 6574 (1999)
  86. Xiao J H, Hu G, Gao J H Int. J. Bifurc. Chaos 10 655 (2000)
  87. Schuster H G, Stemmler M B Phys. Rev. E 56 6410 (1997)
  88. Hu Gang et al. Phys. Rev. E 62 3043 (2000)
  89. Grigoriev R O, Cross M C, Schuster H G Phys. Rev. Lett. 79 2795 (1997)
  90. Magnitskii N A, Sidorov S V Differentsial’nye Uravneniya 35 669 (1999)
  91. Wang P-Y, Xie P Phys. Rev. E 61 5120 (2000)
  92. Belykh V N, Belykh I V, Hasler M Phys. Rev. E 62 6332 (2000)
  93. Belykh V N, Belykh I V, Mosekilde E Phys. Rev. E 63 036216 (2001)
  94. Belykh V N et al. Int. J. Bifurc. Chaos 13 755 (2003)
  95. Pogromsky A, Santoboni G, Nijmeijer H Physica D 172 65 (2002)
  96. Kafarov V V Metody Kibernetiki v Khimii i Khimicheskoi Tekhnologii (M.: Khimiya, 1976); Kafarov V V Metody Kibernetiki v Khimii i Khimicheskoi Tekhnologii 4-e izd. (M.: Khimiya, 1985)
  97. Emel’yanov I Ya, Efanov A I, Konstantinov L V Nauchno-tekhnicheskie Osnovy Upravleniya Yadernymi Reaktorami (M.: Energoatomizdat, 1981)
  98. Ovsyannikov D A Matematicheskie Metody Upravleniya Puchkami (L.: Izd-vo LGU, 1980)
  99. Mirzoev F Kh, Panchenko V Ya, Shelepin L A Usp. Fiz. Nauk 166 3 (1996); Mirzoev F Kh, Panchenko V Ya, Shelepin L A Phys. Usp. 39 1 (1996)
  100. Zewail A J. Phys. Chem. A 104 5660 (2000)
  101. Shapiro M, Brumer P J. Chem. Phys. 84 4103 (1986)
  102. Tannor D J, Rice S A J. Chem. Phys. 83 5013 (1985)
  103. Kosloff R et al. Chem. Phys. 139 201 (1989)
  104. Dahleh M et al. Proc. IEEE 84 7 (1996)
  105. Judson R S, Rabitz H Phys. Rev. Lett. 68 1500 (1992)
  106. Peirce A, Dahleh M, Rabitz H Phys. Rev. A 37 4950 (1988)
  107. Rabitz H in Proc. of the 39th IEEE Conf. on Decision and Control, Sydney, Australia, December 12 - 15, 2000 (Piscataway, NJ: IEEE, 2000) p. 1937
  108. Assion A et al. Science 282 919 (1998)
  109. Bardeen C J et al. Chem. Phys. Lett. 280 151 (1997)
  110. Pearson B J et al. Phys. Rev. A 63 063412 (2001)
  111. Bandrauk A D, Fujimura Y, Gordon R J (Eds) Laser Control And Manipulation Of Molecules (Oxford: Oxford Univ. Press, 2002)
  112. Fradkov A L, Churilov A N (Eds) Proc. Intern. Conf. "Physics and Control" Vol. 3 Control of Microworld Processes. Nano- and Femtotechnologies (St. Petersburg: IEEE, 2003)
  113. Goggin M E, Milonni P W Phys. Rev. A 37 796 (1988)
  114. Goggin M E, Milonni P W Phys. Rev. A 38 5174 (1988)
  115. Yu S et al. Automatica 9 1617 (1997)
  116. Fradkov A L, Krivtsov A M, Efimov A A Differ. Eq. Control Proc. (4) 36 (2001); Fradkov A L, Krivtsov A M, Efimov A A http://www.neva.ru/journal/
  117. Ananjevsky M et al. in Proc. Intern. Conf. "Physics and Control 2003" (St. Petersburg, 2003) p. 867
  118. Guldberg A, Billing G D Chem. Phys. Lett. 186 (2 - 3) 229 (1991)
  119. Flyugge Z Zadachi Po Kvantovoi Mekhanike Vol. I, II (M.: Mir, 1974)
  120. Landau L D, Lifshits E M Mekhanika (M.: Nauka, 1965)
  121. Bellman R, Dreifus C Prikladnye Metody Dinamicheskogo Programmirovaniya (M.: Fizmatlit, 1965)
  122. Mironova V A, Amel’kin S A, Tsirlin A M Matematicheskie Metody Termodinamiki pri Konechnom Vremeni (M.: Khimiya, 2000)
  123. Plank M Printsip Naimen’shego Deistviya. Edinstvo Fizicheskoi Kartiny Mira (M.: Nauka, 1966)
  124. Landau L D, Lifshits E M Statisticheskaya Fizika (M.: Nauka, 1964)
  125. Glensdorf P, Prigozhin I Termodinamicheskaya Teoriya Struktury, Ustoichivosti i Fluktuatsii (M.: Mir, 1973)
  126. Rosenbrock H H Phys. Lett. A 110 343 (1986)
  127. Rosenbrock H H IEEE Trans. Autom. Control 45 73 (2000)
  128. Einstein A Out Of My Later Years (New York: Thames and Hudson, 1950) p. 114
  129. Svirezhev Yu M, Logofet D O Ustoichivost’ Biologicheskikh Soobshchestv (M.: Nauka, 1978)
  130. Blekhman I I In Selected Topics In Vibrational Mechanics (Ed. I I Blekhman) (Singapore: World Scientific, 2004)
© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions