Date: October 22nd(wed) 10:30〜
Place: Room Ew-305, E Block,IIS, The University of Tokyo
Speaker: Prof. Alexander S. Mikhailov　（Department of Physical Chemistry,
Fritz Haber Institute of the Max  Planck Society, Berlin (Dahlem), Germany）
Title:
NETWORKS ON THE EDGE OF CHAOS: GLOBAL-FEEDBACK CONTROL OF NETWORK
TURBULENCE
Abstract：
A network of coupled phase oscillators with random phase shifts in
interaction functions is considered. Computing the Kaplan-Yorke
embedding dimension and the Lyapunov exponents of the system, we show
that it exhibits highly-dimensional chaos, i.e. the network turbuence.
To control the turbulence, global feedback is introduced. If it is
strong enough, the feedback induces frequency synchronization of all
oscillators. Our attention in this study is focused on the transition
scenario from synchronous oscillations to turbuence as the feedback
intensity is decreased. In continuous reaction-diffusion media, such a
transition involves formation of various kinds of coherent structures
and development of intermittent turbulence. What are the analogs of
such behavior for the networks?