Discrete mappings of Thomson self-oscillatory systems with delay

Abstract

New discrete mappings of Thomson type self-oscillatory systems with the delayed feedback are offered. Mappings are received by method of structural synthesis with use of the sequences of discrete counting of pulse characteristics of the resonators which are a part of self-oscillatory systems. The method of the slow-changing amplitudes is used for the analysis of response characteristics of self-oscillations in the discrete time. The example of generation of self-oscillations with discrete mapping of the oscillator of Van der Pol with delay is given.

Keywords

• self-oscillatory system
• delayed feedback
• non-linear dynamics
• the discrete mapping
• method of the slow-changing amplitudes