NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2009, Vol.12, No.3, pp.251-266


The Spatio-Temporal Structure of Nonlinear Response of an Active Media in a Self-Organization System.
Victor F. Dailyudenko

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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