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Dynamical Optimization and Synchronization in Adaptive Complex Networks

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Adaptive Networks

Part of the book series: Understanding Complex Systems ((UCS))

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Abstract

We introduce two dynamical optimization coupling mechanisms for achieving different kinds of synchronization in adaptive complex networks. At each node in the network there is an oscillator, and the ensemble of oscillators can be either identical or non-identical. For each oscillator, we adjust only one incoming link’s strength in each time interval while the other incoming links’ strengths remain constant. The dynamical optimization coupling mechanisms are in effect “winner-take-all” strategies. If one incoming link for each oscillator has the maximal competitive ability in different time intervals, its strength increases by a small value. This way, we realize different kinds of synchronization in adaptive complex networks with instantaneous or delayed couplings, as well as ensure that all oscillators have uniform intensities during the transition to synchronization. We also enhance the synchronizability in complex networks with identical oscillators.

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Author information

Authors and Affiliations

  1. Tsinghua National Laboratory for Information Science and Technology, Department of Automation, Tsinghua University, 100084, Beijing, P. R. China

    Maoyin Chen

  2. Center for Dynamics of Complex Systems, Potsdam Universität, Am Neuen Palais 10, 14469, Potsdam, Germany

    Jürgen Kurths

Authors
  1. Maoyin Chen
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  2. Jürgen Kurths
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Corresponding author

Correspondence to Maoyin Chen .

Editor information

Editors and Affiliations

  1. MPI für Physik Komplexer Systeme, Nöthnitzer Str. 38, Dresden, 01187, Germany

    Thilo Gross

  2. Binghamton University, State University of New York, Binghamton, 13902-6000, U.S.A.

    Hiroki Sayama

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© 2009 Springer-Verlag Berlin Heidelberg

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Chen, M., Kurths, J. (2009). Dynamical Optimization and Synchronization in Adaptive Complex Networks. In: Gross, T., Sayama, H. (eds) Adaptive Networks. Understanding Complex Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01284-6_8

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  • DOI: https://doi.org/10.1007/978-3-642-01284-6_8

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-01283-9

  • Online ISBN: 978-3-642-01284-6

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