885 research outputs found
Reducing the number of time delays in coupled dynamical systems
When several dynamical systems interact, the transmission of the information
between them necessarily implies a time delay. When the time delay is not
negligible, the study of the dynamics of these interactions deserve a special
treatment. We will show here that under certain assumptions, it is possible to
set to zero a significant amount of time-delayed connections without altering
the global dynamics. We will focus on graphs of interactions with identical
time delays and bidirectional connections. With these premises, it is possible
to find a configuration where a number of time delays have been removed
with , where is the number of dynamical
systems on a connected graph
Preface to the Special Issue on Nonlinear Dynamics and Chaotic Phenomena in Nonlinear Vibrations
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