DIAGNOSTICS NONLINEAR DYNAMIC SYSTEMS ON THE BASE OF
GENERALIZED MULTIMODE MODELS
Maxim Danilaev, Vadim Afanas'ev, Juriy Polskiy
The complex dynamic systems (CDS) diagnostics on the basis of their generalized multimode models is submitted in that paper. For the description of a condition and CDS behaviour in the frameworks of multimode models concepts of state modes and behaviour modes are introduced respectively. In paper shows, that the series of non-linear systems, such as the plasma, high-frequency (HF) gas laser pumping systems, can be submitted, in the frameworks of multimode models, in such way that the value of intermode communication is weak coupling. Mathematical representation of such CDS can be formalized as a weak coupling nonlinear oscillator assembly. It was showing that the CDS generalized multimode model, in the form of nonlinear oscillator assembly allows to according to the character of the generalized member change - diagnose regular and chaotic regimes of nonlinear systems; on the basis of the GDM dynamics analysis – determine a range of the system parameter change gas laser HF pumping system, providing uniform distributions of electronic density and stability of the gas discharge plasma regime; to reveal connection between the wave numbers, appropriate to known distribution of electronic density and frequencies of fluctuations of plasma.