Abstract
The results of bifurcation analysis seem to be used somehow or other as the basis of any method in nonlinear dynamics forecasting. The peculiarity of the problem setting in the paper is related to the fact that dynamics forecasting supposes the recognition of a bifurcation phenomenon before its beginning. In particular, this problem setting is important from the viewpoint of practical application of pulse energy converters (PEC). So, the necessity of real-time estimation of the direction of transient convergence appears. The complexity of such estimation is stipulated by the information on transients that is not mapped in bifurcation diagrams, and also time series do not contain preliminary information on a nonlinear dynamics picture. Moreover, PEC operation under parameter uncertainties leads to information on a bifurcation boundary location becomes fuzzy. The symbolic description of dynamical processes over time is offered with the purpose of the problem solution. This description is provided by the use of fractal regularities in the geometrical structures of phase trajectories, which are stipulated by the physical essence of both PWM process and transient convergence towards a limit cycle.
Published Version
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