651 research outputs found
Interevent time distribution in seismicity: a theoretical approach
This paper presents an analysis of the distribution of the time
between two consecutive events in a stationary point process. The study is
motivated by the discovery of a unified scaling law for for the case of
seismic events. It is shown that the unified law must necessarily be
exponential. We discuss the parameterization of the empirical unified law and
the physical meaning of the parameters involved
Stability Analysis of Continuous Waves in Nonlocal Random Nonlinear Media
On the basis of the competing cubic-quintic nonlinearity model, stability
(instability) of continuous waves in nonlocal random non-Kerr nonlinear media
is studied analytically and numerically. Fluctuating media parameters are
modeled by the Gaussian white noise. It is shown that for different response
functions of a medium nonlocality suppresses, as a rule, both the growth rate
peak and bandwidth of instability caused by random parameters. At the same
time, for a special form of the response functions there can be an
''anomalous'' subjection of nonlocality to the instability development which
leads to further increase of the growth rate. Along with the second-order
moments of the modulational amplitude, higher-order moments are taken into
account.Comment: This is a contribution to the Proc. of the Seventh Inter. Conference
''Symmetry in Nonlinear Mathematical Physics'' (June 24-30, 2007, Kyiv,
Ukraine), published in SIGMA (Symmetry, Integrability and Geometry: Methods
and Applications) at http://www.emis.de/journals/SIGMA
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