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Fig. 11.
Di-synchronisation speed of the dyad, depending on the Agent2 understanding
u
2
and
the sensitivity
σ
(
β
=0
.
7).
u
2
varies between 0 and 0
.
02.
σ
varies from 0 to 0
.
09.When
the d i-synchronisation speed value is null, synchronisation has been maintained until the end
of the experiment. A disynchronisation speed 1 is for a disynchronisation occurring at the very
beginning of the experiment.
Sensitivity to Non-verbal Signals.
Another way to modify the influence of non-verbal
signals on coupling and synchronisation properties of the dyad, is to modify the sensitiv-
ity to the perceived non-verbal signal,
σ
. We tested this effect by calculating disynchro-
nisation speeds as previously, making
u
2
vary between
0
and
0
.
02
and the sensitivity
σ
varying between
0
and
0
.
09
(
β
=0
.
07
). We obtained the 3D graph of Fig.11.
Sensitivity to non-verbal signal
σ
have a direct effect on agents to stay synchronous
even with different understandings: the higher is sensitivity
σ
, the more resistant to
difference between
u
i
the synchronisation capability of the dyad is. The effect of
σ
is
important despite its low value (
σ<
0
.
1
) due to the high number of non-verbal signal
exchanged: when Agent
i
's internal state
S
i
reaches the threshold
β
, it produces the
non-verbal signals
NV
Act i
at every time step until
S
i
relaxes. That can last between
0
and
20
time steps for each oscillation period. The effect of
σ
is multiplied by this
number of steps.
It is important to notice here that the
σ
effect on the dyad resistance to
u
i
differences,
has a counter-part. This counter-part is the fact that when
σ
increase and make the dyad
more resistant to disynchronisation, it also makes the synchronisation of the dyad less
related to mutual understanding. For instance, when
σ
0
.
7
, agents stay synchronous
even when Agent2 do not understand anything,
u
2
=0
. To balance these two effects,
facilitation of synchronisation and decrease of synchrony significance, we chosen a
default value of
σ
=0
.
05
.
≥
Re-synchronisation Capability.
Given a value of Agent2 understanding
u
2
,wetested
the ability of the dyad Agent1-Agent2 to re-synchronise after a phase shift. We
made the initial phase-shift
Δφ
ini
vary between
0
and
π
for every values of
u
2
and
calculated the speed of synchronisation if any. The 3D graph of Fig.12 shows the syn-
chronisation speed for each couple
(
u
2
;
Δφ
ini
)
.
The initial phase-shift between
S
1
and
S
2
does not appear to affect the synchronisa-
tion capacities of the dyad. With the chosen
σ
=0
.
05
and
β
=0
.
7
, when the agents'
