Issues

 / 

2022

 / 

May

  

Physics of our days


Networks of spike oscillators and their application for creating autonomous intelligent devices

 
Center for Nonlinear Chemistry, Immanuel Kant Baltic Federal University, A. Nevsky str. 14, Kaliningrad, 236016, Russian Federation

Hierarchical networks of pulse-coupled chemical micro-oscillators (MOs) are considered. The Belousov—Zhabotinsky oscillatory reaction in a microvolume serves as a single MO. Biological principles of neural networks and the laws of nonlinear dynamics are used to operate the considered networks, which we call a 'chemical brain.' It has been shown that this 'chemical brain' is capable of adaptive behavior and decision-making.

Fulltext pdf (643 KB)
Fulltext is also available at DOI: 10.3367/UFNe.2021.05.038978
Keywords: networks of spike micro-oscillators, Belousov—Zhabotinsky reaction, decision-making, 'chemical brain'
PACS: 07.05.Mh, 82.40.−g, 84.35.+i (all)
DOI: 10.3367/UFNe.2021.05.038978
URL: https://ufn.ru/en/articles/2022/5/b/
001112520100002
2-s2.0-85144439720
2022PhyU...65..440V
Citation: Vanag V K "Networks of spike oscillators and their application for creating autonomous intelligent devices" Phys. Usp. 65 440–452 (2022)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Received: 30th, March 2021, revised: 13th, April 2021, 3rd, May 2021

Оригинал: Ванаг В К «Сети спайковых осцилляторов и их применение для создания разумных автономных устройств» УФН 192 477–490 (2022); DOI: 10.3367/UFNr.2021.05.038978

References (194) ↓ Cited by (3) Similar articles (3)

  1. Raychowdhury A et al Proc. IEEE 107 73 (2019)
  2. Parrilla-Gutierrez J M et al Nat. Commun. 11 1442 (2020)
  3. Zhabotinsky A M Proc. Acad. Sci. USSR 157 392 (1964); Zhabotinsky A M Dokl. Akad. Nauk SSSR 157 (2) 392 (1964)
  4. Belousov B P Sbornik Referatov Po Radiatsionnoi Meditsine Za 1958 G. (Collection Of Short Papers On Radiation Medicine For 1958 , Ed. A V Lebedinskii) (Moscow: Medgiz, 1959) p. 145
  5. Nicolis G, Prigogine I Self-Organization In Nonequilibrium Systems (New York: Wiley-Interscience, 1977)
  6. Prigogine I, Lefever R J. Chem. Phys. 48 1695 (1968)
  7. Gray P, Scott S K Chemical Oscillations And Instabilities: Non-linear Chemical Kinetics (Oxford: Clarendon Press, 1990)
  8. Epstein In I R, Pojman J A An Introduction To Nonlinear Chemical Dynamics (New York: Oxford Univ. Press, 1998)
  9. Field R J, Burger M Oscillations And Traveling Waves In Chemical Systems (New York: Wiley, 1985)
  10. Epstein In I R, Showalter K J. Phys. Chem. 100 13132 (1996)
  11. Ivanitsky G R, Krinsky V I, Sel’kov E E Matematicheskaya Biologiya Kletki (Mathematical Biology Of The Cell) (Moscow: Nauka, 1978)
  12. Ivanitsky G R, Krinsky V I, Zaikin A N, Zhabotinsky A M Biol. Rev. D 2 279 (1981)
  13. Krinsky V I (Ed.) Self-Organization: Autowaves and Structures Far from Equilibrium. Proc. of an Intern. Symp., Pushchino, USSR, July 18-23, 1983 (Springer Series in Synergetics) Vol. 28 (Berlin: Springer-Verlag, 1984)
  14. Lengyel I, Rábai G, Epstein I R J. Am. Chem. Soc. 112 4606 (1990)
  15. Luo Y, Epstein I R J. Am. Chem. Soc. 113 1518 (1991)
  16. Rábai G, Orban M, Epstein I R J. Phys. Chem. 96 5414 (1992)
  17. Lee K J et al Science 261 192 (1993)
  18. Edblom E C et al J. Am. Chem. Soc. 109 4876 (1987)
  19. Edblom E C et al J. Phys. Chem. 93 2722 (1989)
  20. Boissonade J, De Kepper P J. Phys. Chem. 84 501 (1980)
  21. Field R J, Noyes R M J. Chem. Phys. 60 1877 (1974)
  22. Epstein I R, Luo Y J. Chem. Phys. 95 244 (1991)
  23. Marsden J E, McCracken M The Hopf Bifurcation And Its Applications (New York: Springer-Verlag, 1976)
  24. Noszticzius Z e al. Nature 329 619 (1987)
  25. Castets V et al Phys. Rev. Lett. 64 2953 (1990)
  26. Ouyang Q, Swinney H L Nature 352 610 (1991)
  27. Turing A M Philos. Trans. R. Soc. Lond. B 237 37 (1952)
  28. Zaikin A N, Zhabotinsky A M Nature 225 535 (1970)
  29. Perez-Munuzuri V et al Nature 353 740 (1991)
  30. Zhou L, Ouyang Q Phys. Rev. Lett. 85 1650 (2000)
  31. Ouyang Q, Flesselles J M Nature 379 143 (1996)
  32. Vanag V K Phys. Usp. 47 923 (2004); Vanag V K Usp. Fiz. Nauk 174 991 (2004)
  33. Vanag V K, Epstein I R Science 294 835 (2001)
  34. Vanag V K, Epstein I R Phys. Rev. Lett. 88 088303 (2002)
  35. Vanag V K, Epstein I R Proc. Natl. Acad. Sci. USA 100 14635 (2003)
  36. Vanag V K, Epstein I R Chaos 17 037110 (2007)
  37. Bansagi T, Vanag V K, Epstein I R Science 331 1309 (2011)
  38. Vanag V K, Epstein I R Phys. Rev. Lett. 87 228301 (2001)
  39. Vanag V K, Epstein I R Phys. Rev. E 71 066212 (2005)
  40. Toiya M, Vanag V K, Epstein I R Angew. Chem. Int. Ed. 47 7753 (2008)
  41. Toiya M, Gonzalez-Ochoa H O, Vanag V K, Fraden S, Epstein I R J. Phys. Chem. Lett. 1 1241 (2010)
  42. Maselko J, Showalter K Nature 339 609 (1989)
  43. Totz J F et al Phys. Rev. E 92 022819 (2015)
  44. Totz J F et al Nat. Phys. 14 282 (2018)
  45. Wilson D et al Chaos 28 123114 (2018)
  46. Taylor A F et al Eur. Phys. J. Spec. Top. 165 137 (2008)
  47. Taylor A F et al Science 323 614 (2009)
  48. Taylor A F et al Angew. Chem. Int. Ed. 50 10161 (2011)
  49. Tompkins N et al Proc. Natl. Acad. Sci. USA 111 4397 (2014)
  50. Vanag V K, Epstein I R Engineering Of Chemical Complexity II (Singapore: World Scientific, 2014), Ch. 10
  51. Litschel T et al Lab Chip 18 714 (2018)
  52. Norton M M et al Phys. Rev. Lett. 123 148301 (2019)
  53. Gorecki J, Gorecka J N, Adamatzky A Phys. Rev. E 89 042910 (2014)
  54. Gorecki J Entropy 22 313 (2020)
  55. Adamatzky A Philos. Trans. R. Soc. B 374 20180372 (2019)
  56. Torbensen K et al J. Phys. Chem. C 121 13256 (2017)
  57. Budroni M A et al J. Phys. Chem. Lett. 11 2014 (2020)
  58. Yoshikawa K, Aihara R, Agladze K J. Phys. Chem. A 102 7649 (1998)
  59. Gorecki J, Yoshikawa K, Igarashi Y J. Phys. Chem. A 107 1664 (2003)
  60. Hamada T e al. Langmuir 21 7626 (2005)
  61. Smelov P S, Proskurkin I S, Vanag V K Phys. Chem. Chem. Phys. 21 3033 (2019)
  62. Proskurkin I S, Smelov P S, Vanag V K Phys. Chem. Chem. Phys. 22 19359 (2020)
  63. Mallphanov I L, Vanag V K Russ. Chem. Rev. 90 1263 (2021); Mallphanov I L, Vanag V K Usp. Khimii 90 1263 (2021)
  64. Horvath Vet al Angew. Chem. Int. Ed. 51 6878 (2012)
  65. Horvath V et al Phys. Chem. Chem. Phys. 17 4664 (2015)
  66. Ke H et al Phys. Rev. E 89 052712 (2014)
  67. Kuramoto Y Int. J. Bifurcat. Chaos 7 789 (1997)
  68. Kuramoto Y Physica D 50 15 (1991)
  69. Kuramoto Y, Battogtokh D Nonlin. Phenom. Complex Syst. 5 380 (2002)
  70. Winfree A T J. Theor. Biol. 16 15 (1967)
  71. Kuramoto Y Intern. Symp. on Mathematical Problems in Theoretical Physics, January 23-29, 1975, Kyoto Univ., Kyoto, Japan (Lecture Notes Physics) Vol. 39 (Ed. H Araki) (Berlin: Springer, 1975) p. 420
  72. Hubel D H, Wiesel T N J. Physiol. 148 574 (1959)
  73. Hodgkin A L, Huxley A F Proc. R. Soc. Lond. B 140 177 (1952)
  74. Sakaguchi H, Kuramoto Y Prog. Theor. Phys. 76 576 (1986)
  75. Vanag V K, Smelov P S, Klinshov V V Phys. Chem. Chem. Phys. 18 5509 (2016)
  76. Watts D J, Strogatz S H Nature 393 440 (1998)
  77. Vanag V K Chaos 29 083104 (2019)
  78. Bargmann C I, Marder E Nat. Meth. 10 483 (2013)
  79. Bargmann C I Bioessays 34 458 (2012)
  80. Vanag V K, Epstein I R Phys. Rev. E 84 066209 (2011)
  81. Klinshov V V, Nekorkin V I Phys. Usp. 56 1217 (2013); Klinshov V V, Nekorkin V I Usp. Fiz. Nauk 183 1323 (2013)
  82. Maslennikov O V, Nekorkin V I Phys. Usp. 60 694 (2017); Maslennikov O V, Nekorkin V I Usp. Fiz. Nauk 187 745 (2017)
  83. Gencay R, Liu T Physica D 108 119 (1997)
  84. Rosenblatt F "The perceptron — a perceiving and recognizing automaton" Report 85-460-1 (Buffalo, NY: Cornell Aeronautical Laboratory, 1957)
  85. Rosenblatt F Psycholog. Rev. 65 386 (1958)
  86. Ermentrout B, Park Y, Wilson D Philos. Trans. R. Soc. A 377 20190092 (2019)
  87. Bassett D S, Sporns O Nat. Neurosci. 20 353 (2017)
  88. Bassett D S, Zurn P, Gold J I Nat. Rev. Neurosci. 19 566 (2018)
  89. Bassett D S, Khambhati A N, Grafton S T Annu. Rev. Biomed. Eng. 19 327 (2017)
  90. Markram H Sci. Am. 306 (5) 50 (2012)
  91. Sporns O Neuroimage 80 53 (2013)
  92. Alivisatos A P et al Neuron 74 970 (2012)
  93. White J G et al Philos. Trans. R. Soc. B 314 1 (1986)
  94. Marder E, Taylor A L Nat. Neurosci. 14 133 (2011)
  95. Milo R et al Science 298 824 (2002)
  96. Kopell N J et al Neuron 83 1319 (2014)
  97. Calhoun V D et al Neuron 84 262 (2014)
  98. Marder E Neuron 76 1 (2012)
  99. Kasatkin D V, Nekorkin V I Radiophys. Quantum Electron. 58 877 (2016); Kasatkin D V, Nekorkin V I Izv. Vyssh. Uchebn. Zaved. Radiofiz. 58 981 (2015)
  100. Botella-Soler V, Glendinning P Phys. Rev. E 89 062809 (2014)
  101. Maistrenko Y L et al Phys. Rev. E 75 066207 (2007)
  102. van den Heuvel M P, Sporns O Trends Cognitive Sci. 17 683 (2013)
  103. Chaudhuri R et al Neuron 88 419 (2015)
  104. Hernandez A, Amigo J M Eur. Phys. J. Spec. Top. 227 1039 (2018)
  105. Ashwin P, Coombes S, Nicks R J. Math. Neurosci. 6 2 (2016)
  106. Maass W Neural Networks 10 1659 (1997)
  107. Klinshov VV Izv. Vyssh. Uchebn. Zaved. Priklad. Nelin. Dinamika 28 (5) 465 (2020)
  108. Tan C, Sarlija M, Kasabov N Neural Proc. Lett. 52 1675 (2020)
  109. Kiselev M V Comput. Res. Model. 12 401 (2020)
  110. TrueNorth (2021), https://www.research.ibm.com/articles/brain-chip.shtml
  111. Kuramoto Y, Nakao H Philos. Trans. R. Soc. A 377 20190041 (2019)
  112. Pietras B, Daffertshofer A Phys. Rep. 819 1 (2019)
  113. Majhi S et al Phys. Life Rev. 28 100 (2019)
  114. Kim R, Sejnowski T J Nat. Neurosci. 24 129 (2021)
  115. Stockel A, Eliasmith C Neural Computat. 33 96 (2021)
  116. Kim J et al Neurocomputing 428 153 (2021)
  117. Demin V A et al Neural Networks 134 64 (2021)
  118. She X Y et al Front. Neurosci. 14 615756 (2021)
  119. Xing Y N, Di Caterina G, Soraghan J Front. Neurosci. 14 590164 (2020)
  120. Li X M, Yi H, Luo S Y Neural Plasticity 2020 8851351 (2020)
  121. Lu S, Sengupta A Front. Neurosci. 14 535 (2020)
  122. Field R J, Körös E, Noyes R M J. Am. Chem. Soc. 94 8649 (1972)
  123. Kuhnert L Nature 319 393 (1986)
  124. Kádár S, Amemiya T, Showalter K J. Phys. Chem. A 101 8200 (1997)
  125. Kaminaga A, Mori Y, Hanazaki I Chem. Phys. Lett. 279 339 (1997)
  126. Vanag V K Dissipativnye Struktury V Reaktsionno-diffuzionnykh Sistemakh (Dissipative Structures In Reactive Diffusion Systems) (Moscow: R&C Dynamics, 2008)
  127. Taylor A F Prog. React. Kinet. Mec. 27 247 (2002)
  128. Hudson J L, Hart M, Marinko D J. Chem. Phys. 71 1601 (1979)
  129. Marchettini N et al Phys. Chem. Chem. Phys. 12 11062 (2010)
  130. Turner J S et al Phys. Lett. A 85 9 (1981)
  131. Nkomo S, Tinsley M R, Showalter K Phys. Rev. Lett. 110 244102 (2013)
  132. Tinsley M et al Physica D 239 785 (2010)
  133. Taylor A F, Tinsley M R, Wang F, Huang Z, Showalter K Science 323 614 (2009)
  134. Taylor A F, Tinsley M R, Showalter K Phys. Chem. Chem. Phys. 17 20047 (2015)
  135. Markovic V M et al Chaos 29 033130 (2019)
  136. Mallphanov I L, Vanag V K J. Phys. Chem. A 124 272 (2020)
  137. Delgado J et al Soft Matter 7 3155 (2011)
  138. Lavrova A I, Vanag V K Phys. Chem. Chem. Phys. 16 6764 (2014)
  139. Proskurkin I S, Vanag V K Russ. J. Phys. Chem. A 89 331 (2015); Proskurkin I S, Vanag V K Zh. Fiz. Khim. 89 340 (2015)
  140. Smelov P S, Vanag V K Russ. J. Phys. Chem. A 91 1015 (2017); Smelov P S, Vanag V K Zh. Fiz. Khim. 91 963 (2017)
  141. Safonov D A, Klinshov V, Vanag V K Phys. Chem. Chem. Phys. 19 12490 (2017)
  142. Horvath V, Epstein I R Chaos 28 045108 (2018)
  143. Proskurkin I S, Smelov P S, Vanag V K Chemphyschem 20 2162 (2019)
  144. Murray J D Mathematical Biology I. An Introduction (New York: Springer, 2002)
  145. DDE (2021), http://www.scholarpedia.org/article/Delay-differential_equations
  146. Vanag V K "Svyazannye khimicheskie ostsillyatory (Coupled chemical oscillators)" Nelineinye Volny 2016 (Non-Linear Waves 2016, Eds A M Sergeev, A V Slyunyaev) (Nizhni Novgorod: IPF RAN, 2017) p. 263
  147. Achuthan S, Canavier C C J. Neurosci. 29 5218 (2009)
  148. Canavier C C, Achuthan S Math. Biosci. 226 77 (2010)
  149. Proskurkin I S, Lavrova A I, Vanag V K Chaos 25 064601 (2015)
  150. Proskurkin I S, Vanag V K Phys. Chem. Chem. Phys. 17 17906 (2015)
  151. Crowley M F, Epstein I R J. Phys. Chem. 93 2496 (1989)
  152. Safonov D A, Vanag V K Phys. Chem. Chem. Phys. 20 11888 (2018)
  153. Abrams D M, Pecora L M, Motter A E Chaos 26 094601 (2016)
  154. Feudel U, Pisarchik A N, Showalter K Chaos 28 033501 (2018)
  155. Rabinovich M I, Muezzinoglu M K Phys. Usp. 53 357 (2010); Rabinovich M I, Muezzinoglu M K Usp. Fiz. Nauk 180 371 (2010)
  156. Rabinovich M I, Afraimovich V S, Varona P Dyn. Syst. Int. J. 25 433 (2010)
  157. Rabinovich M I et al Front. Computat. Neurosci. 8 22 (2014)
  158. Rabinovich M I et al Phys. Life Rev. 9 51 (2012)
  159. Rabinovich M I, Varona P Front. Computat. Neurosci. 5 24 (2011)
  160. Neves F S, Timme M J. Phys. A 42 345103 (2009)
  161. Neves F S, Timme M Phys. Rev. Lett. 109 018701 (2012)
  162. Kirst C, Timme M, Battaglia D Nat. Commun. 7 11061 (2016)
  163. Smelov P S, Vanag V K R. Soc. Open Sci. 5 171495 (2018)
  164. Vanag V K, Yasuk V O Chaos 28 033105 (2018)
  165. Vanag V K Chaos 29 033106 (2019)
  166. Vanag V K Chaos 30 013112 (2020)
  167. Saha A, Feudel U Chaos 28 033610 (2018)
  168. Ryczko D, Simon A, Ijspeert A J Trends Neurosci. 43 916 (2020)
  169. Sanders R H, Levitin D J Brain Sci. 10 215 (2020)
  170. Mantziaris C, Bockemuehl T, Bueschges A Develop. Neurobiol. 80 16 (2020)
  171. Hachoumi L, Sillar K T Develop. Neurobiol. 80 42 (2020)
  172. Klinshov V, Nekorkin V Commun. Nonlin. Sci. Num. Sim. 83 105067 (2020)
  173. Buzsaki G Neuron 68 362 (2010)
  174. Brette R Front. Syst. Neurosci. 9 151 (2015)
  175. Buzsáki G, Freeman W Current Opin. Neurobiol. 31 v-ix (2015)
  176. Asl M M, Valizadeh A, Tass P A Sci. Rep. 8 12068 (2018)
  177. ter Wal M et al Nat. Commun. 11 3075 (2020)
  178. Mysore S P, Kothari N B Elife 9 e51473 (2020)
  179. Busemeyer J R et al Trends Cognitive Sci. 23 251 (2019)
  180. Bielczyk N Z et al Plos One 14 e0211885 (2019)
  181. Cheong H S J, Siwanowicz I, Card G M Current Opin. Neurobiol. 65 77 (2020)
  182. Monosov I E Trends Neurosci. 43 795 (2020)
  183. Yang G R, Wang X J Neuron 107 1048 (2020)
  184. Badman R P, Hills T T, Akaishi R Brain Sci. 10 396 (2020)
  185. Mendl M, Paul E S Neurosci. Biobehavioral Rev. 112 144 (2020)
  186. Tekulve J et al Front. Neurorobotics 13 95 (2019)
  187. Ma W J Neuron 104 164 (2019)
  188. Soltani A, Izquierdo A Nat. Rev. Neurosci. 20 635 (2019)
  189. Cox J, Witten I B Nat. Rev. Neurosci. 20 482 (2019)
  190. Bolam F C et al Biol. Rev. 94 629 (2019)
  191. Zhdanov A et al J. Comput. Syst. Sci. Int. 47 907 (2008)
  192. Zhdanov A A J. Comput. Syst. Sci. Int. 38 792 (1999)
  193. Zhdanov A A Avtonomnyi Iskusstvennyi Intellekt (Autonomous Artificial Intelligence) (Moscow: Binom. Laboratoriya Znanii, 2020)
  194. Proskurkin I S, Vanag V K Phys. Chem. Chem. Phys. 20 16126 (2018)

© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions