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Dynamics of Networks With Stochastically Switched Connections

[+] Author Affiliations
Igor Belykh

Georgia State University, Atlanta, GA

Martin Hasler

Ecole Polytechnique Fédérale de Lausanne, Lausanne, Switzerland

Paper No. DSCC2011-6169, pp. 33-39; 7 pages
doi:10.1115/DSCC2011-6169
From:
  • ASME 2011 Dynamic Systems and Control Conference and Bath/ASME Symposium on Fluid Power and Motion Control
  • ASME 2011 Dynamic Systems and Control Conference and Bath/ASME Symposium on Fluid Power and Motion Control, Volume 1
  • Arlington, Virginia, USA, October 31–November 2, 2011
  • Conference Sponsors: Dynamic Systems and Control Division
  • ISBN: 978-0-7918-5475-4
  • Copyright © 2011 by ASME

abstract

This talk discusses the influence of network structure on the dynamics of networks with fast on-off stochastic connections. It is investigated to what extent the trajectories of a stochastically switched (blinking) network follow the corresponding trajectories of its averaged analog where the stochastic connection are replaced with static ones. Four cases have to be distinguished, depending on whether or not the averaged system has a unique attractor and whether or not the attractors are invariant under the dynamics of the blinking system. The corresponding asymptotic behavior of the trajectories of the blinking system is described and illustrative examples are given.

Copyright © 2011 by ASME

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