Issues

 / 

2008

 / 

March

  

Conferences and symposia


Modeling nonlinear oscillatory systems and diagnostics of coupling between them using chaotic time series analysis: applications in neurophysiology

 a,  b,  b,  b,  c
a Department of Nano- and Biomedical Technologies, N.G. Chernyshevskii Saratov State University, ul. Astrakhanskaya 83, Saratov, 410026, Russian Federation
b Kotel'nikov Institute of Radio Engineering and Electronics, Russian Academy of Sciences, Saratov Branch, ul. Zelenaya 38, Saratov, 410019, Russian Federation
c Institute of Neurosciences and Biophysics - Medicine (INB-3), Research Center Juelich, Juelich, Germany

A scientific session of the Physical Sciences Division of the Russian Academy of Sciences (RAS) was held under the title “Methods of wave-based physics in neuroscience problems and applications” on October 31, 2007 in the conference hall of the P N Lebedev Physical Institute, RAS. The following reports were presented at the session:
(1) Nekorkin V I (Institute of Applied Physics, RAS, Nizhny Novgorod) “Nonlinear oscillations and waves in neurodynamics”;
(2) Bezruchko B P (Department of Nano- and Biomedical Technologies, Saratov State University, Saratov), Ponomarenko V I, Prokhorov M D, Smirnov D A (Saratov Branch of the Institute of Radioengineering and Electronics, RAS, Saratov), Tass P A (Jülich Research Center, Institute of Neuroscience and Biophysics 3-Medicine, Jülich, Germany) “Modeling nonlinear oscillatory systems and diagnostics of coupling between them using chaotic time series analysis: applications in neurophysiology”.
An abridge version of the reports is given below.

Fulltext is available at IOP
PACS: 05.45.−a, 87.10.+e, 87.19.La (all)
DOI: 10.1070/PU2008v051n03ABEH006494
URL: https://ufn.ru/en/articles/2008/3/h/
Citation: Bezruchko B P, Ponomarenko V I, Prokhorov M D, Smirnov D A, Tass P A "Modeling nonlinear oscillatory systems and diagnostics of coupling between them using chaotic time series analysis: applications in neurophysiology" Phys. Usp. 51 304–310 (2008)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Безручко Б П, Пономаренко В И, Прохоров М Д, Смирнов Д А, Тасс П А «Моделирование и диагностика взаимодействия нелинейных колебательных систем по хаотическим временным рядам (приложения в нейрофизиологии)» УФН 178 323–329 (2008); DOI: 10.3367/UFNr.0178.200803h.0323

References (57) ↓ Cited by (29) Similar articles (20)

  1. Box E P, Jenkins G M Time Series Analysis. Forecasting And Control (San Francisco: Holden-Day, 1970); Boks Dzh, Dzhenkins G Analiz Vremennykh Ryadov. Prognoz i Upravlenie (M.: Mir, 1974)
  2. Tass P A Phase Resetting In Medicine And Biology : Stochastic Modelling And Data Analysis (Berlin: Springer-Verlag, 1999)
  3. Pikovskii A S, Rozenblyum M G, Kurts Yu Sinkhronizatsiya. Fundamental’noe Nelineinoe Yavlenie (M.: Tekhnosfera, 2003)
  4. Blekhman I I Sinkhronizatsiya v Prirode i Tekhnike (M.: Nauka, 1981); Translated into English, Blekhman I I Synchronization In Science And Technology (New York: ASME Press, 1988)
  5. Arnhold J et al. Physica D 134 419 (1999)
  6. Lehnertz K et al. (Eds) Chaos In Brain? Proc. Of The Workshop, Bonn, Germany, 10 – 12 March 1999 (Singapore: World Scientific, 2000)
  7. Anishchenko V S, Vadivasova T E, Astakhov V V Nelineinaya Dinamika Khaoticheskikh i Stokhasticheskikh Sistem (Saratov: Izd-vo Sarat. un-ta, 1999)
  8. Schreiber T Phys. Rev. Lett. 85 461 (2000)
  9. Hlaváčková-Schindler K et al. Phys. Rep. 441 1 (2007)
  10. Čenys A, Lasiene G, Pyragas K Physica D 52 332 (1991)
  11. Rulkov N F et al. Phys. Rev. E 51 980 (1995)
  12. Schiff S J et al. Phys. Rev. E 54 6708 (1996)
  13. Quian Quiroga R, Kreuz T, Grassberger P Phys. Rev. E 66 041904 (2002)
  14. Quian Quiroga R et al. Phys. Rev. E 65 041903 (2002)
  15. Smirnov D A, Andrzejak R G Phys. Rev. E 71 036207 (2005)
  16. Smirnov D et al. Chaos 17 013111 (2007)
  17. Prokhorov M D, Ponomarenko V I Phys. Rev. E 72 016210 (2005)
  18. Feldmann U, Bhattacharya J Int. J. Bifurc. Chaos 14 505 (2004)
  19. Ancona N, Marinazzo D, Stramaglia S Phys. Rev. E 70 056221 (2004)
  20. Granger C W J Econometrica 37 424 (1969)
  21. Blinowska K J, Kuś R, Kamiński M Phys. Rev. E 70 050902 (2004)
  22. Wang W et al. J. Climate 17 4752 (2004)
  23. Hallin M, Saidi A J. Time Ser. Analysis 26 83 (2005)
  24. Mokhov I I, Smirnov D A Izv. RAN. Ser. Fiz. Atm. Okeana 42 650 (2006); Mokhov I I, Smirnov D A Izv. Russ. Acad. Sci., Atm. Ocean. Phys. 42 598 (2006)
  25. Rosenblum M G, Pikovsky A S Phys. Rev. E 64 045202 (2001)
  26. Vainshtein L A, Vakman D E Razdelenie Chastot v Teorii Kolebanii i Voln (M.: Nauka, 1983)
  27. Pikovsky A, Rosenblum M, Kurths J Int. J. Bifurc. Chaos 10 2291 (2000)
  28. Cimponeriu L, Rosenblum M, Pikovsky A Phys. Rev. E 70 046213 (2004)
  29. Smirnov D A, Bezruchko B P Phys. Rev. E 68 046209 (2003)
  30. Ljung L System Identification. Theory For The User (Englewoodcliffs, NJ: Prentice-Hall, 1987); L’yung L Identifikatsiya Sistem. Teoriya dlya Pol’zovatelya (M.: Nauka, 1991)
  31. Malinetskii G G, Potapov A B Sovremennye Problemy Nelineinoi Dinamiki (M.: Editorial URSS, 2000)
  32. Gouesbet G, Meunier-Guttin-Cluzel S, Ménard O (Eds) Chaos And Its Reconstruction (New York: Nova Sci. Publ., 2003)
  33. Bezruchko B P, Smirnov D A Matematicheskoe Modelirovanie i Khaoticheskie Vremennye Ryady (Saratov: Kolledzh, 2005)
  34. Bezruchko B P et al. Phys. Rev. E 64 056216 (2001)
  35. Ponomarenko V I i dr. Zh. Eksp. Teor. Fiz. 127 515 (2005); Ponomarenko V I et al. JETP 100 457 (2005)
  36. Bezruchko B P, Smirnov D A Phys. Rev. E 63 016207 (2000)
  37. Bezruchko B P, Smirnov D A, Sysoev I V Chaos, Solitons Fractals 29 82 (2006)
  38. Smirnov D A, Vlaskin V S, Ponomarenko V I Phys. Lett. A 336 448 (2005)
  39. Bezruchko B P, Dikanev T V, Smirnov D A Phys. Rev. E 64 036210 (2001)
  40. Smirnov D A, Bezruchko B P, Seleznev Ye P Phys. Rev. E 65 026205 (2002)
  41. Abarbanel H D I et al. Rev. Mod. Phys. 65 1331 (1993)
  42. Kantz H, Schreiber T Nonlinear Time Series Analysis (Cambridge: Cambridge Univ. Press, 1997)
  43. Pavlov A N, Yanson N B, Anishchenko V S Radiotekhnika Elektronika 44 1075 (1999); Pavlov A N, Yanson N B, Anishchenko V S J. Commun. Technol. Electron. 44 999 (1999)
  44. Anosov O L, Butkovskii O Ya, Kravtsov Yu A Izv. Vuzov. Prikladnaya Nelineinaya Dinamika 8 29 (2000)
  45. Voss H U, Timmer J, Kurths J Int. J. Bifurc. Chaos 14 1905 (2004)
  46. Nini A et al. J. Neurophysiol. 74 1800 (1995)
  47. Rivlin-Etzion M et al. Current Opinion Neurobiol. 16 629 (2006)
  48. Benabid A-L et al. Lancet 337 403 (1991)
  49. Benabid A-L et al. Acta Neurol. Belg. 105 149 (2005)
  50. Tass P A Biol. Cybern. 89 81 (2003)
  51. Tass P A, Majtanik M Biol. Cybern. 94 58 (2006)
  52. Smirnov D A et al. Europhys. Lett. (2008), submitted
  53. Wang S et al. J. Franklin Inst. 344 180 (2007)
  54. Dolan K T, Neiman A Phys. Rev. E 65 026108 (2002)
  55. Smirnov D A et al. Chaos 15 024102 (2005)
  56. Kravtsov Yu A (Red.-sost.) Predely Predskazuemosti (M.: TsentrKom, 1997)
  57. Feigin A M i dr. Izv. Vuzov. Radiofizika 44 376 (2001); Feigin A M et al. Radiophys. Quantum Electron. 44 348 (2001)

© 1918–2022 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions