Issues

 / 

2017

 / 

July

  

Reviews of topical problems


Adaptive dynamical networks

,
Federal Research Center A.V. Gaponov-Grekhov Institute of Applied Physics of the Russian Academy of Sciences, ul. Ulyanova 46, Nizhny Novgorod, 603000, Russian Federation

Dynamical networks are systems of active elements (nodes) interacting with each other via links or couplings. Examples are power grids, neural structures, coupled chemical oscillators, communications networks, etc. , all of which are characterized by the network structure and intrinsic dynamics of their interacting components. If the coupling structure of a dynamical network can change over time due to nodal dynamics then such a system is called an adaptive dynamical network. The term "adaptive" implies that the coupling topology can be rewired; the term "dynamical" implies the presence of internal node and link dynamics. Main results on adaptive dynamical networks are reviewed. Key notions and definitions of the theory of complex networks are given and major collective effects that emerge in adaptive dynamical networks are described.

Fulltext pdf (340 KB)
Fulltext is also available at DOI: 10.3367/UFNe.2016.10.037902
Keywords: dynamical networks, adaptive links, synchronization, attractor, coupled oscillators
PACS: 05.45.−a, 05.45.Xt, 87.10.−e (all)
DOI: 10.3367/UFNe.2016.10.037902
URL: https://ufn.ru/en/articles/2017/7/c/
000412937700003
2-s2.0-85023640544
2017PhyU...60..694M
Citation: Maslennikov O V, Nekorkin V I "Adaptive dynamical networks" Phys. Usp. 60 694–704 (2017)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Received: 24th, August 2016, revised: 3rd, October 2016, 12th, October 2016

Оригинал: Масленников О В, Некоркин В И «Адаптивные динамические сети» УФН 187 745–756 (2017); DOI: 10.3367/UFNr.2016.10.037902

References (46) ↓ Cited by (41) Similar articles (20)

  1. Ginzburg V L Usp. Fiz. Nauk 169 419 (1999); Ginzburg V L Phys. Usp. 42 353 (1999)
  2. Albert R, Barabási A-L Rev. Mod. Phys. 74 47 (2002)
  3. Newman M E SIAM Rev. 45 167 (2003)
  4. Boccaletti S et al. Phys. Rep. 424 175 (2006)
  5. Gorochowski T E, Di Bernardo M, Grierson C S Complexity 17 (3) 18 (2012)
  6. Belykh I et al. Physica D 267 1 (2014)
  7. Newman M, Barabási A-L, Watts D J The Structure And Dynamics Of Networks (Princeton: Princeton Univ. Press, 2006)
  8. Costa L da F et al. Adv. Phys. 56 167 (2007)
  9. Gross T, Blasius B J. R. Soc. Interface 5 259 (2008)
  10. Blasius B, Gross T Rev. Nonlin. Dyn. Complexity 2 63 (2009)
  11. Dorogovtsev S N, Mendes J F F Evolution Of Networks: From Biological Nets To The Internet And WWW (Oxford: Oxford Univ. Press, 2013)
  12. Barabási A-L, Albert R Science 286 509 (1999)
  13. Albert R, Barabási A-L Phys. Rev. Lett. 85 5234 (2000)
  14. Serrano M A Phys. Rev. E 78 026101 (2008)
  15. Newman M E J Phys. Rev. Lett. 89 208701 (2002)
  16. Motter A E et al. Nature Phys. 9 191 (2013)
  17. Rohden M et al. Phys. Rev. Lett. 109 064101 (2012)
  18. Menck P J et al. Nature Commun. 5 3969 (2014)
  19. Watts D J, Strogatz S H Nature 393 440 (1998)
  20. Aoki T, Aoyagi T Phys. Rev. Lett. 102 034101 (2009)
  21. Tanaka T, Aoki T, Aoyagi T Forma 24 (1) 17 (2009)
  22. Aoki T, Aoyagi T Phys. Rev. E 84 066109 (2011)
  23. Kasatkin D V, Nekorkin V I Izv. Vuzov. Radiofizika 58 981 (2015); Kasatkin D V, Nekorkin V I Radiophys. Quantum Electron. 58 877 (2016)
  24. Kasatkin D V, Nekorkin V I Izv. Vuzov. Priklad. Nelineinaya Dinamika 23 (4) 58 (2015)
  25. Li M, Guan S, Lai C-H New J. Phys. 12 103032 (2010)
  26. Botella-Soler V, Glendinning P Europhys. Lett. 97 50004 (2012)
  27. Botella-Soler V, Glendinning P Phys. Rev. E 89 062809 (2014)
  28. Chandrasekar V et al. Physica D Nonlin. Phenom. 267 36 (2014)
  29. Maistrenko Yu L et al. Phys. Rev. E 75 066207 (2007)
  30. Seliger P, Young S C, Tsimring L S Phys. Rev. E 65 041906 (2002)
  31. Zhou C, Kurths J Phys. Rev. Lett. 96 164102 (2006)
  32. Gutiérrez R et al. Phys. Rev. Lett. 107 234103 (2011)
  33. Assenza S et al. Sci. Rep. 1 99 (2011)
  34. Kuramoto Y Chemical Oscillations, Waves, And Turbulence (Springer Series in Synergetics) Vol. 19 (Berlin: Springer-Verlag, 1984)
  35. Gómez-Gardeñes J, Moreno Y, Arenas A Phys. Rev. Lett. 98 034101 (2007)
  36. Makarov V et al. Chaos, Solitons Fractals 84 23 (2016)
  37. Ito J, Kaneko K Phys. Rev. Lett. 88 028701 (2001)
  38. Stam C J et al. Frontiers Comput. Neurosci. 4 133 (2010)
  39. Gleiser P M, Zanette D H Eur. Phys. J. B 53 233 (2006)
  40. Levina A, Herrmann J M, Geisel T Nature Phys. 3 857 (2007)
  41. Levina A, Herrmann J M, Geisel T Phys. Rev. Lett. 102 118110 (2009)
  42. Mikkelsen K, Imparato A, Torcini A Phys. Rev. E 89 062701 (2014)
  43. Aoki T, Aoyagi T Phys. Rev. Lett. 109 208702 (2012)
  44. Scafuti F, Aoki T, di Bernardo M Phys. Rev. E 91 062913 (2015)
  45. Nekorkin V I, Kasatkin D V, Dmitrichev A S Izv. Vuzov. Radiofizika 53 51 (2010); Nekorkin V I, Kasatkin D V, Dmitrichev A S Radiophys. Quantum Electron. 53 45 (2010)
  46. Maslennikov O V, Nekorkin V I Commun. Nonlin. Sci. Numer. Simulation 23 (1) 10 (2015)

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