112 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
Nonlinear delayed forcing drives a non-delayed Duffing oscillator
We study two coupled systems, one playing the role of the driver system and
the other one of the driven system. The driver system is a time-delayed
oscillator, and the driven or response system has a negligible delay. Since the
driver system plays the role of the only external forcing of the driven system,
we investigate its influence on the response system amplitude, frequency and
the conditions for which it triggers a resonance in the response system output.
It results that in some ranges of the coupling value, the stronger the value
does not mean the stronger the synchronization, due to the arise of a
resonance. Moreover, coupling means an interchange of information between the
driver and the driven system. Thus, a built-in delay should be taken into
account. Therefore, we study whether a delayed-nonlinear oscillator can pass
along its delay to the entire coupled system and, as a consequence, to model
the lag in the interchange of information between the two coupled systems.Comment: 24 pages, 10 figure
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