Modeling synchronization in self-oscillating processes

Author: mikheil kian
Keywords: self oscilllator, Van der pol oscillator, sinchronisation
Annotation:

Synchronization is a physical phenomenon that occurs very often in nature. Synchronization of oscillations - exact or approximate equation of frequencies, phases or other characteristics of signals of oscillating systems, resulting from the interaction of these systems. Our goal is to obtain the effect of synchronization in self-oscillating systems described by van der Pol's equations through numerical modeling. For this, we use the mathematical system Matlab, and as a result of conducting numerical experiments, the values ​​of the parameters of the nonlinear oscillators are obtained, which gives us complete synchronization between the oscillator and the harmonic force acting on it, as well as between two van der Pol oscillators connected to each other. It is shown that the synchronization depends on such values ​​of oscillation as: oscillation frequency, amplitude, system bond constant and others.