Asymptotic Behavior of the Solutions of a System of Two Weakly Coupled Relaxation Oscillators with Delayed Feedback

We consider a dynamic system that consists of two coupled self-excited oscillators with delayed feedback. Such models occur in applied problems of radio physics and optics. It is assumed that the nonlinear function, which is responsible for the feedback, is finite and contains a great parameter. Thi...

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Bibliographic Details
Published in:Radiophysics and quantum electronics 2019-01, Vol.61 (8-9), p.633-639
Main Authors: Kashchenko, A. A., Kaschenko, S. A.
Format: Article
Language:English
Subjects:
Astronomy
Astrophysics and Astroparticles
Asymptotic properties
Electronic filters
Feedback
Hadrons
Heavy Ions
Lasers
Mapping
Mathematical and Computational Physics
Nuclear Physics
Observations and Techniques
Optical Devices
Optics
Photonics
Physics
Physics and Astronomy
Quantum Optics
Radio physics
Relaxation oscillations
Relaxation oscillators
Theoretical
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Summary:We consider a dynamic system that consists of two coupled self-excited oscillators with delayed feedback. Such models occur in applied problems of radio physics and optics. It is assumed that the nonlinear function, which is responsible for the feedback, is finite and contains a great parameter. This reveals the possibility to use a special analytical method to study relaxation oscillations. It is shown that the dynamics of two such oscillators in the case of their asymptotically weak coupling is described by a special finite-dimension mapping and can be rather sophisticated.
ISSN:0033-8443
1573-9120
DOI:10.1007/s11141-019-09923-8