2009, Vol.12, No.3, pp.251-266
Firstly, we investigate the stability of wave train obtained in a
single-diffusive active medium. We show both analytically and numerically
the existence of different behavior of the system: completely stable wave
train, weak temporal instability and, at last, the development of convective
instability. The respective dispersion relations and instability curves are
calculated, and bounds for different types of normal modes are obtained.
Secondly, the modeling of wave processes and instabilities in the hydrodynamic
flow is implemented (namely, around a circular cylinder), and the community
the main conclusions concerning higher modes is proved in both these examples.
Key words:
self-organization phenomena, wave train, temporal instability,
stationary state, convective instability
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