Complex form of discrete mappings of Thomson self-oscillatory systems

Abstract

New discrete mappings of Thomson type self-oscillatory systems 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 is given.

Keywords

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