Abstract
The fine structure of bifurcation changes of oscillatory regimes in a system of two microwave oscillators in the region of mutual resonant strong coupling is experimentally investigated. Briefly discusses the methods for circuit implementation of strong resonant interactions, as well as their analytical threshold, above which synchronous modes lose stability and the system goes into dynamic chaos mode.
Highlights
It is generally accepted that in the simplest system of two coupled oscillators, when their natural frequencies are close, synchronism occurs
As our studies show, mutual synchronization is one of the options for the behavior of coupled self-oscillating systems
At strong resonant interactions, the coherent mode loses stability, and there is a tendency for the system to transition into disordered, chaotic motion
Summary
It is generally accepted that in the simplest system of two coupled oscillators, when their natural frequencies are close, synchronism occurs. As experience shows [5,6,7,8], the oscillatory modes of a coupled oscillators system at changing control parameters during the destruction of coherence and transition to chaotic dynamics demonstrate bifurcation transformations, which have both characteristic features of classical scenarios and features associated with basic synchronous oscillations. The study of these transitions on the basis of ideas about their stability or instability makes it possible to compose a phenomenological picture of the behavior of coupled self-oscillators system, and to identify characteristic dynamic signs of oscillatory processes in chaotic modes. In the present work the fine structure of bifurcation changes in oscillatory regimes of a two microwave oscillators system in the region of strong resonance interconnection during coherence destruction is experimentally investigated
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