Formation and stability of dissipative structures

The nonlinear interaction of the disturbed wave packet modes has been analysed within nonlinear parabolic equation. There has also been designed the approach to a limit cycle regime of an isolated mode, the analytical stability criterion of the obtained solutions having separated the existance spheres of isolated and multimode regimes. Stochastization and self-organization processes taking place during the formation of dissipative structures have been studied by methods of random function theory.