Information Technology Reference
In-Depth Information
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
|
A k |
cos
k t
+ φ k μπ/
2
)
w eff (
t
)
.
(7.187)
1
)
2 μ
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
ω k =
,
(7.188)
where T is a fundamental period and the frequencies are multiples of the fundamental
frequency for ten modes.
References
[1] P. Allegrini, G. Aquino, P. Grigolini et al ., “Correlation function and generalized master
equation of any age,” Phys. Rev. E 71 , 066109 (2005).
[2] P. Allegrini, F. Barbi, P. Grigolini and P. Paradisi, “Renewal, modulation and superstatistics,”
Phys. Rev. E 73 , 046136 (2006).
[3] P. Allegrini, V. Benci, P. Grigolini et al ., “Compression and diffusion: a joint approach to
detect complexity,” Chaos, Solitons & Fractals , 15 , 517-535 (2003).
[4] P. Allegrini, M. Bologna, P. Grigolini and B. J. West, “Fluctuation-dissipation theorem for
event-dominated processes,” Phys. Rev. Lett . 99 , 010603 (2007).
[5] P. Allegrini, M. Bologna, L. Fronzoni, P. Grigolini and L. Silvestri, “Experimental quench-
ing of harmonic stimuli: universality of linear response theory,” Phys. Rev. Lett. 103 , 030602
(2009).
[6] G. Aquino, M. Bologna, P. Grigolini and B. J. West, “Beyond the death of linear response
theory: 1/ f -optimal information transport,” Phys. Rev. Lett. 105 , 040601 (2010).
[7] G. Aquino, P. Grigolini and B. J. West, “Linear response and fluctuation-dissipation theorem
for non-Poissonian renewal processes,” Europhys. Lett . 80 , 10002 (1-6) (2007).
[8] F. Barbi, M. Bologna and P. Grigolini, “Linear response to perturbation of nonexponential
renewal processes,” Phys.Rev.Lett . 95 , 22061 (2005).
[9] J. B. Bassingthwaighte, L. S. Liebovitch and B. J. West, Fractal Physiology ,NewYork:
Oxford University Press (1994).
[10] C. Beck, “Dynamical foundations of nonextensive statistical mechanics,” Phys. Rev. Lett .
87 , 180601 (1-4) (2001).
[11] J. M. Beggs and D. Plenz, “Neuronal avalanches in neocortical circuits,” J. Neurosci .
23 , 11167 (2003).
[12] R. Benzi, A. Sutera and A. Vulpiani, “The mechanism of stochastic resonance,” J. Phys. A
14 , L453 (1981).
[13] R. Benzi, G. Parisi, A. Sutera and A. Vulpiani, “Stochastic resonance in climate change,”
Tellus 34 , 10 (1982).
[14] R. Benzi, “Stochastic resonance: from climate to biology,” arXiv:nlin/0702008.
[15] S. Bianco, E. Geneston, P. Grigolini and M. Ignaccolo, “Renewal aging as emerging
property of phase sychronization,” Physica A 387 , 1387 (2008).
 
Search WWH ::




Custom Search