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Adaptive dynamical networks

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Federal Research Center 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.

Text can be downloaded in Russian. English translation is available here.
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/
Citation: Maslennikov O V, Nekorkin V I "Adaptive dynamical networks" Phys. Usp. 60 694–704 (2017)
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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

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  1. V.V. Klinshov, V.I. Nekorkin “Synchronization of delay-coupled oscillator networks56 1217–1229 (2013)
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  3. A.A. Koronovskii, O.I. Moskalenko, A.E. Hramov “On the use of chaotic synchronization for secure communication52 1213–1238 (2009)
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  6. A. Loskutov “Fascination of chaos53 1257–1280 (2010)
  7. A.L. Virovlyansky, D.V. Makarov, S.V. Prants “Ray and wave chaos in underwater acoustic waveguides55 18–46 (2012)
  8. S.P. Kuznetsov “Dynamical chaos and uniformly hyperbolic attractors: from mathematics to physics54 119–144 (2011)
  9. K.V. Koshel, S.V. Prants “Chaotic advection in the ocean49 1151–1178 (2006)
  10. A.B. Medvinskii, S.V. Petrovskii et alSpatio-temporal pattern formation, fractals, and chaos in conceptual ecological models as applied to coupled plankton-fish dynamics45 27–57 (2002)
  11. V.I. Klyatskin, V.I. Tatarskii “Diffusive random process approximation in certain nonstationary statistical problems of physics16 494–511 (1974)
  12. V.L. Popov, A.E. Filippov, S.N. Gorb “Biological microstructures with high adhesion and friction. Numerical approach59 829–845 (2016)
  13. S.V. Dmitriev, E.A. Korznikova et alDiscrete breathers in crystals59 446–461 (2016)
  14. A.A. Makarov, A.L. Malinovsky, E.A. Ryabov “Intramolecular vibrational redistribution: from high-resolution spectra to real-time dynamics55 977–1007 (2012)
  15. V.I. Klyatskin “Integral characteristics: a key to understanding structure formation in stochastic dynamic systems54 441–464 (2011)
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  17. V.S. Anishchenko, T.E. Vadivasova et alStatistical properties of dynamical chaos48 151–166 (2005)
  18. V.K. Vanag “Waves and patterns in reaction-diffusion systems. Belousov-Zhabotinsky reaction in water-in-oil microemulsions47 923–941 (2004)
  19. V.I. Klyatskin “Clustering and diffusion of particles and passive tracer density in random hydrodynamic flows46 667–688 (2003)
  20. Yu.M. Romanovsky, V.P. Trifonenkov “Energetics and stochastic dynamics of intraneuron transport59 121–140 (2016)

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