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with real amplitudes
A
k
, phases
ω
k
determined from experimental
data. Redo the analysis in the text to show that the behavioral response to this stimulus
is given by the exact asymptotic expression
φ
k
and frequencies
M
1
(μ
−
|
A
k
|
cos
(ω
k
t
+
φ
k
−
μπ/
2
)
w
eff
(
t
)
≈
.
(7.187)
1
)
2
−
μ
(ω
k
t
)
k
=
1
Graph this habituating response for a mathematical sequence of Gaussian pulses
exp
2
and
2
T
k
2
|
A
k
|
=
−
ω
k
/σ
ω
k
=
,
(7.188)
where
T
is a fundamental period and the frequencies are multiples of the fundamental
frequency for ten modes.
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